PLS HELP ME!!!! THIS IS URGENT
An equilateral triangle has three sides with equal length and three angles with equal measure. Given equilateral triangles, △ABC and △DEF complete the statements below.
Answers
Answer:
The answer is below
Step-by-step explanation:
An equilateral triangle is a triangle in which all the three sides are equal and all the angles are also equal. Each angle in an equilateral triangle is equal to 60°.
1) We cannot determine if the Two triangles are congruent because for congruence at least one side must be equal. Since we know that all the angles in both triangle ABC and DEF have the same measure of angle, we cannot finalize that they are congruent until the have at least one equal measure of length
ΔABC is not ≅ ΔDEF
2) All angles in an equilateral triangle are equal and is 60°. Therefore m∠E = 60°
3) Two triangles are said to be similar if they have the same shape and their sides have the same proportion. Since both triangle ABC and DEF have the same measure of angle, therefore they are similar. i.e
ΔABC ~ ΔDEF
An equilateral triangle is a triangle with all three sides of equal length and all angles are equal.
△ABC and △DEF are not congruent to each other.
∠E = 60 degree.
△ABC ≈ △DEF
Since, An equilateral triangle has three sides with equal length and three angles with equal measure.
1 . In triangle △ABC and △DEF , for congruency at least one side should be equal to apply ASA congruency rule.
ASA congruence state that , if two angles of one triangle, and the side contained between these two angles, are respectively equal to two angles of another triangle and the side contained between them, then the two triangles will be congruent.
2. Both triangles △ABC and △DEF are equilateral.
∠B = ∠E = 60 degree
3. Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Similar triangles are the same shape, but not necessarily the same size.
So, triangles △ABC and △DEF are similar.
△ABC ≈ △DEF
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Properties of Operations: Tutorial
Activity
Question 1
Gretchen and her friend Hayley bought three bags of apples and three bunches of bananas from the fruit vendor. Gretchen and Hayley want to
find the total number of pieces of fruit that they bought. Gretchen thinks she should multiply 3 by the number of apples in each bag, X, and add it
to 3 times the number of bananas in each bunch, y, to find the total number of pieces of fruit. Hayley thinks Gretchen should add the number of
apples in each bag, x, to the number of bananas in each bunch, y, and then multiply that sum by 3.
Part A
Write an expression based on Gretchen's method to find the total number of pieces of fruit.
PEE
B
U X X
Font Sizes
AA-
Which property can you apply to Hayley’s expression to show that it is equivalent to Gretchen’s expression
Answers
Answer:
3x+3y and distributive property
Step-by-step explanation:
It is given that
Gretchen buys three bags of apples = 3X
Hayley buys three bunches of bananas = 3Y
As it is also mentioned that it first it is multiplied and then it is added
So, the expression for determining the total number of fruit pieces is
3X + 3Y
And, this expression denotes the distributive property in which we multiplied the each variable and then added it
Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than times 1 1/3 Theresa’s height. Steve says he is inches shorter than times Theresa’s height. If they are both right, how tall is Theresa? write an expression to show how tall steve is
Answers
Answer:
Theresa is 58.82 in tall
Step-by-step explanation:
Steve: x=1.33y-6
x=72.24
Please answer this in two minutes
Answers
Answer:
X = 59°Step-by-step explanation:
To find Angle X we use sine
sin∅ = opposite/ hypotenuse
From the question
WY is the opposite
WX is the hypotenuse
So we have
sin X = WY/ WX
sin X = 6/7
X = sin-¹ 6/7
X = 58.99
X = 59° to the nearest tenth
Hope this helps you
Answer:
x=arcsine (6/7) = 58.98 degrees
Step-by-step explanation:
Performing a trigonometrical function. We can find the value of the angle:
1) sin x =6/7
x=arcsine (6/7)
x= 58.98º
I WILL GIVE BRAINLIEST!!! A teacher is grading the final exam. He notices that the mean test score is 61, and the standard deviation is 10. The test scores were normally distributed. if there were 450 students in the data sample, how many would have a test score between 61 and 71 *Round your answer to the nearest full value.
Answers
Answer:
The number of students that would have a test score between 61 and 71 are 154 students
Step-by-step explanation:
The given information are;
The mean test score, μ = 61
The standard deviation, σ = 10
The sample size, n = 450
The z score is given as follows;
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
We therefore have at x = 61,
[tex]Z=\dfrac{61-61 }{10 } = 0[/tex]
P(x > 61) = P(Z > 0) = 1 - 0.5 = 0.5
For x = 71, we have;
[tex]Z=\dfrac{71-61 }{10 } = 1[/tex]
P(x < 71) = P(Z < 1) = 0.84134
The probability that the score will be between 61 and 71 is the difference between the two probabilities, which is 0.84134 - 0.5 = 0.34134
Given that the probability is equivalent to the proportion of the students that would have a test score between 61 and 71, we have;
The number of students that would have a test score between 61 and 71 = 0.34134 × 450 = 153.6 ≈ 154 to the nearest whole number.
The graphs below are both absolute value functions. The equation of the red
graph is f(x) = [X]. Which of these is the equation of the blue graph, g(x)?
Answers
Answer:
The answer is option C.
[tex]g(x) = \frac{1}{2} |x| [/tex]
Hope this helps you
What is the measure of Angle D F E? Triangle D E F. The exterior angle to angle F is 142 degrees. 38 degrees 52 degrees 118 degrees 142 degrees
Answers
as the exterior angle is known
sum of that angle and f angle = 180
142 + f = 180
f = 180 - 142
f = 38
Answer:
38
Step-by-step explanation:
Add the angle and f angle (180)Now add 142 + f = 180 Now subtract 180 - 142 (= f) Finally you get your answer 38Hope this helps you :)
Which volume formula or formulas show(s) a joint variation? I =3 V = s 3 II =πr2h V = π r 2 h III =ℎ V = B h Select one: a. III only b. I only c. II and III only d. I, II, and III
Answers
Answer:
C. . II and III only
Step-by-step explanation:
Given:
I. V=s^3
II.V=πr^2h
III. V=Bh
From the above
I. V varies directly as cube of s
II. V varies jointly as square of r and h where π is the constant of proportionality.
III. V varies jointly as B and h
Therefore, the volume formula which shows a joint variation are
II.V=πr^2h and III. V=Bh
Answer is C. II and III only
evaluate sine squared theta for theta equals 45 degrees
Answers
A rectangle measures 6 cm by 4 cm. Another rectangle with adjacent sides 8 cm and x cm is geometrically similar to it. Find the two possible value of x.
Answers
Answer:
5 1/3 or 5.33333333333333333333333333333333333333333333333333333
Step-by-step explanation:
to find the scale factor, you must divide the two equal sides.
[tex]\frac{6}{8}[/tex]
which equals
[tex]\frac{3}{4}[/tex] or 0.75
Now, the way to get the value of x is to divide 4 by 3/4 0r 0.75
[tex]\frac{4}{0.75}[/tex]
Which equals
5.333 repeating or 5 1/3
Hope this helps. If you have any follow-up questions, feel free to ask.
Have a great day! :)
A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5
Answers
Answer:
The new points after dilation are
(3/2, -3) and (9/2,-3)
Step-by-step explanation:
Here in this question, we want to give the new points of the line segment after it is dilated by a particular scale factor.
What is needed to be done here is to multiply the coordinates of the given line segment by the given scale factor.
Let’s call the positions on the line segment A and B.
Thus we have;
A = (1,-2) and B = (3,-2)
So by dilation, we multiply each of the specific data points by the scale factor and so we have;
A’ = (3/2, -3) and B’= (9/2,-3)
i Will give brainliest
Answers
Answer: B
Step-by-step explanation:
Option A simplifies to 7/15
Option B simplifies to 11/21
If 1/2 is equal to .50, then when subtracted 7/15 would be equal to 0.46666667 and 11/21 would be equal to 0.52380952... meaning that 11/21 would be closer to 1/2 (or .50).
Hope this helps!
PLEASE HELP. YOU NEED TO FIND SLOPE. THANK YOU!
Answers
Answer:
5
Step-by-step explanation:
Due to the direction the line is facing it can be concluded that its slope is positive.
You need two definite points on the line to find the slope.
(x¹,y¹) ( x²,y²)
Points (5,20) (0, -5)
Slope = (y² - y¹) ÷ (x² - x¹)
= (-5 - 20) ÷ (0 -5)
= (-25) ÷ (-5)
= 5
Have a great day!
four pencils and a ruler cost $1. six pencils and three rulers cost $2.10. find the cost of three pencils and thirteen rulers.
Answers
Answer:
$ 5.65
Step-by-step explanation:
let the cost of a pencil and a ruler be $p and $r respectively.
4p +r= 1 -----(1)
6p +3r= 2.10
divide by 3 throughout:
2p +r= 0.70 -----(2)
Q: 3p +13r= ?
(1) -(2):
(4p +r) -(2p +r)= 1 -0.70
4p +r -2p -r= 0.30 (expand)
2p= 0.30 (simplify)
p= 0.30 ÷2 (÷2 on both sides)
p= 0.15
subst. into (1):
4(0.15) +r= 1
r +0.60= 1
r= 1 -0.60
r= 0.40
cost of three pencils and thirteen rulers
= 3p + 13r
= 3(0.15) + 13(0.40)
= 0.45 + 5.20
= $5.65
How does the graph of g(x) =
X+4
-6 compare to the graph of the parent function )-te
g(x) is shifted 4 units right and 6 units up from f(x).
O g(x) is shifted 4 units right and 6 units down from f(x).
O g(x) is shifted 4 units left and 6 units up from f(x).
O g(x) is shifted 4 units left and 6 units down from f(x).
Answers
Answer:
O g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
O g(x) is shifted 4 units left and 6 units down from f(x).
The graph of g(x) is shifted 4 units to the left and 6 units down from f(x).
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given functions are,
g(x) = 1/(x + 4) - 6
f(x) = 1/x
Here when a function f(x) changes to f(x + k) when it is translated k units left.
Here 1/x changes to 1/(x + 4).
So g(x) is shifted 4 units left.
Similarly a function f(x) changes to f(x) - k, if it is translated k units down.
So g(x) also shifted 6 units down.
Hence the correct option is D.
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What does the denominator of the fraction \dfrac23 3 2 start fraction, 2, divided by, 3, end fraction mean?
Answers
Answer: It represents that 2 will be divided into 3 equal parts.
Step-by-step explanation:
Numerator is the top number in a fraction. It represents the total item it has to divide.Denominator is the bottom number in a fraction. it represents the number of equal parts the item is divided into.The given fraction : [tex]\dfrac{2}{3}[/tex]
here, Numerator = 2
Denominator = 3
It represents that 2 will be divided into 3 equal parts.
Solve.
6x + y = 14
-2x - y = -4
Enter your answer, in the form (x, y), in the boxes.
Answers
Answer:
[tex]\huge\boxed{(2.5,\ -1)}[/tex]
Step-by-step explanation:
[tex]\underline{+\left\{\begin{array}{ccc}6x+y=14\\-2x-y=-4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad4x=10\qquad\text{divide both sides by 4}\\.\qquad\dfrac{4x}{4}=\dfrac{10}{4}\\.\qquad\boxed{x=2.5}\\\\\text{put it to the first equation}\\6(2.5)+y=14\\15+y=14\qquad\text{substract 15 from both sides}\\15-15+y=14-15\\\boxed{y=-1}[/tex]
Answer:
x = 5/2, y = -1
Step-by-step explanation:
6x + y = 14
-2x - y = -4
Add the two equations together to eliminate y
6x + y = 14
-2x - y = -4
-----------------------
4x = 10
Divide by 4
4x/4 = 10/4
x = 5/2
Now solve for y
-2x -y = -4
-2( 5/2) -y = -4
-5 -y = -4
Add 5 to each side
-5+5 -y =-4+5
-y = 1
Divide by -1
y = 1
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
The logarithmic parent function is the only one with negative numbers in the range
Step-by-step explanation:
Hello,
These functions have been very well known, I remind you their graphs below
The logarithmic parent function is the only one with negative numbers in the range
range for square root is [tex]\mathbb{R^{+}}[/tex]
range for logarithmic is [tex]\mathbb{R}[/tex]
range for exponential is [tex]\mathbb{R^{+}}[/tex]
THAT S TRUE
The square root and logarithmic parent functions have the same domain
domain for square root is [tex]\mathbb{R^{+}}[/tex]
domain for logarithmic is [tex]\mathbb{R}[/tex]
THAT S WRONG
The square root parent function domain is the most restricted
domain for square root is [tex]\mathbb{R^{+}}[/tex]
domain for exponential is [tex]\mathbb{R^{+}}[/tex]
THAT S WRONG
All three parent functions have the same domain
domain for square root is [tex]\mathbb{R^{+}}[/tex]
domain for exponential is [tex]\mathbb{R^{+}}[/tex]
domain for logarithmic is [tex]\mathbb{R}[/tex]
THAT S WRONG
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
If ABCD is a rectangle, calculate x as a function of α
Answers
Answer:
Step-by-step explanation:
The length of this triangle is 10 squares
and the width is 4 squares
The diagonals divide the rectangle into four triangles
These traingles are isoceles
Each two triangles facing each others are identical
<B = 90 degree
B = alpha + Beta
Let Beta be the angle next alpha
The segment that is crossing Beta is its bisector since it perpendicular to the diagonals wich means that:
Beta = 2x
Then B = alpha + 2x
90 = alpha +2x
90-alpha = 2x
x = (90-alpha)/2
Answer:
x = 90 - 2α
Step-by-step explanation:
Solution:-
- Consider the right angled triangle " ABD ". The sum of angles of an triangle is always "180°".
< BAD > + < ADB > + < ABD > = 180°
< ABD > = 180 - 90° - α
< ABD > = 90° - α
- Then we look at the figure for the triangle "ABE". Where " E " is the midpoint and intersection point of two diagonals " AC and BD ".
- We name the foot of the perpendicular bisector as " F ": " BF " would be the perpendicular bisector. The angle < BAE > is equal to < ABD >.
< ABD > = < BAE > = 90° - α ... ( Isosceles triangle " BEA " )
Where, sides ( BE = AE ).
- Use the law of sum of angles in a triangle and consider the triangle " BFA " as follows:
< ABF> + < BFA > + < BAF > = 180°
< ABF > = 180 - (90° - α) - 90°
< ABF > = α
Where, < BAF > = < BAE >
- The angle < ABD > = < ABE > is comprised of two angles namely, < ABF > and < FBE > = x.
< ABD > = < ABE > = < ABF > + x
90° - α = α + x
x = 90 - 2α ... Answer
64, -48, 36, -27
which formula describes the sequence?
Answers
Answer:
The formula would be
T(n) = 64 (-3/4)^n, n=0,1,2,...
or sometimes
T(n) = T(n-1)(-3/4), T(0) =64, n=0,1,2,...
Step-by-step explanation:
The common ratio is -3/4, i.e.
(-3/4) * 64 = -48
(-3/4) * 48 = 36
(-3/4) * 36 = -27
...
The formula would be
T(n) = 64 (-3/4)^n, n=0,1,2,...
or sometimes
T(n) = T(n-1)(-3/4), T(0) =64, n=0,1,2,...
Note: Would have been easier if the choices were supplied.
Which of the following options could represent a possible set of interior angles of a triangle? 100°, 130°, and 130° 30°, 70°, and 80° 25°, 3°, and 35° 45°, 105°, and 120°
Answers
Answer:
2) 30, 70, 80
Step-by-step explanation:
Well there has to be 3 angles that all add up to 180°.
1)
100+130+130
=360
2)
30+70+80
= 180
3)
25+3+35
=63
4)
45 + 105 + 120
=150
150+120
270
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each figure with the number of edges it has.
Answers
Answer:
Rectangular pyramid 8 edges
Rectangular prism 12 edges
Triangular Prism 9 edges
Triangular Pyramid 6 edges
Step-by-step explanation: Faces connected at edges
Rectangular pyramid 1 Base and 4 slanted triangular sides
Rectangular prism 2 top and bottom bases and 4 sides
Triangular Prism 2 top and bottom triangular bases 3 rectangular sides
Triangular Pyramid 1 triangular base, 3 slanted triangular sides
The matching is as follow:
Rectangular pyramid: 8 edges
Rectangular prism: 12 edges
Triangular Prism: 9 edges
Triangular Pyramid: 6 edges
What is Pyramid and Prism?A pyramid is a triangular-sided, single-polygonal base, three-dimensional polyhedron-shaped construction. A prism is a three-dimensional polyhedron with rectangular sides that are perpendicular to the base and two polygonal bases.
Rectangular pyramid have one Base and 4 slanted triangular sides
Rectangular prism have 2 top and bottom bases and 4 sides
Triangular Prism have 2 top and bottom triangular bases 3 rectangular sides.
Triangular Pyramid have 1 triangular base, 3 slanted triangular sides.
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Plz help pre calc!!!!
Answers
Gum
Packages of gum
Pieces of gum
1
15
2
30
3
45
4
How many pieces of gum are in 4 packages of gum?
Answers
Answer:
60 pieces
Step-by-step explanation:
The rate of pieces to packages is 15/1.
Multiply this rate by 4 to get the answer.
15 * 4 = 60
━━━━━━━☆☆━━━━━━━
▹ Answer
60 pieces of gum
▹ Step-by-Step Explanation
[tex]\left[\begin{array}{cccc}1&2&3&4\\15&30&45&60\\\end{array}\right][/tex]
The pattern is multiply the number of packs by 15 therefore, the answer will be 60 pieces of gum.
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
what happens to the resistance as the conductor is made thicker
Answers
Answer:
The resistance decreases.
Step-by-step explanation:
The resistance decreases as the conductor is made thicker.
First of all, resistance is like some sort of an obstacle right?
So if the conductor is made thicker it will be easy for the electrons to pass through.
And if the conductor is made thinner it won't be easy for the electrons to pass through. Which makes the resistance increase as there will be collision between the electrons.
Hope this helped ;) ❤❤❤
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 61 and a standard deviation of 11. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 61 and 94?
Answers
Answer:
P(61≤ X≤94) = 49.85%
Step-by-step explanation:
From the given information:
The mean of the bell shaped fluorescent light bulb μ = 61
The standard deviation σ = 11
The objective of this question is to determine the approximate percentage of light bulb replacement requests numbering between 61 and 94 i.e P(61≤ X≤94)
Using the empirical (68-95-99.7)rule ;
At 68% , the data lies between μ - σ and μ + σ
i.e
61 - 11 and 61 + 11
50 and 72
At 95%, the data lies between μ - 2σ and μ + 2σ
i.e
61 - 2(11) and 61 + 2(11)
61 - 22 and 61 +22
39 and 83
At 99.7%, the data lies between μ - 3σ and μ + 3σ
i.e
61 - 3(11) and 61 + 3(11)
61 - 33 and 61 + 33
28 and 94
the probability equivalent to 94 is when P(28≤ X≤94) =99.7%
This implies that ,
P(28≤ X≤94) + P(61≤ X≤94) = 99.7%
P(28≤ X≤94) = P(61≤ X≤94) = 99.7 %
This is so because the distribution is symmetric about the mean
P(61≤ X≤94) = 99.7 %/2
P(61≤ X≤94) = 49.85%
Write an equation of the line that passes through the point (-6, -5) with slope 6.
A. y +5= -6(x+6)
B.y+6= -6(x+5)
C. y+6=6(x+5)
D.y+5= 6(x+6)
Answers
Answer:
The answer is option D.
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
Equation of a line from given a Slope and a point is
y - y1 = m(x - x1)
Where ( x1 , y1) is the point
Equation of the line using point (-6 , -5) and slope 6 is
y + 5 = 6(x - 6)Hope this helps you
What is the relationship between the sine and cosine of complementary angles? a They are the same. b They are reciprocals. c There is no relationship d They equal 0.
Answers
Answer:
A. They are the same.
Step-by-step explanation:
The sine of any acute angle is equal to its cosine.
Triangle ABC has vertices at A(2,5), B(4,11) and C(-1,6). Determine the angles in this triangle.
I need this solved using vectors please
Answers
Answer:
The angles are
∠A = 90°, ∠B = 26.56°, ∠C = 63.43°
Step-by-step explanation:
We have that the angles of a vector are given as follows;
[tex]cos\left ( \theta \right ) = \dfrac{\mathbf{a\cdot b}}{\left | \mathbf{a} \right |\left | \mathbf{b} \right |}[/tex]
Whereby the vertices are represented as
A= (2, 5, 0), B = (4, 11, 0), C = (-1, 6, 0),
AB =(4, 11, 0) - (2, 5, 0) = (2, 6, 0) , BA = (-2, -6, 0)
BC = (-1, 6, 0) - (4, 11, 0) = (-5, -5, 0), CB = (5, 5, 0)
AC = (-1, 6, 0) - (2, 5, 0) = (-3, 1, 0), CA = (3, -1, 0)
θ₁ = AB·AC
a·c = a₁c₁ + a₂c₂ + a₃c₃ = 2×(-3) + 6×1 = 0
Therefore, θ₁ = 90°
BA·BC = (-2)×(-5) + (-6)×(-5) = 40
[tex]{\left | \mathbf{}BA \right |\left | \mathbf{}BC \right |}[/tex] = (√((-2)² + (-6)²)) × (√((-5)² + (-5)²)) = 44.72
cos(θ₂) = 40/44.72 = 0.894
cos⁻¹(0.894) =θ₂= 26.56°
CA·CB = 5×3 + 5×(-1) = 10
[tex]{\left | \mathbf{}CA \right |\left | \mathbf{}CB \right |}[/tex] = (√((3)² + (-1)²)) × (√((5)² + (5)²)) = 22.36
10/22.36 = 0.447
cos(θ₃) = 0.447
θ₃ = cos⁻¹(0.447) = 63.43°.
find the area of a sector of a circle with radius 6 centimetre if angle of sector is 60 degree
Answers
Answer:
Step-by-step explanation:
[tex]area=\frac{\pi r^2 \times\theta}{360} =\frac{\pi 6^2 \times 60}{360} =6 \pi \approx 18.85~ cm^2[/tex]
The martins' swimming pool is a square and is in the center of a square plot that is 35 meters on a side. They have 1,081 square meters of lawn. How long is a side of the pool?
Answers
Answer:
The length of a side of the pool is 12 m²
Step-by-step explanation:
Let the area of the square plot be A. Since it is a square plot of 35 m side, its area is A = 35² = 1225 m².
Let A' be the area of the lawn. Since the area of the lawn is 1081 m², A' = 1081 m².
Now the area of the pool is the difference in area between the area of the square plot and the area of the lawn. So, let A'' be the area of the square swimming pool.
So, A'' = A - A'
A'' = 1225 m² - 1081 m²
A'' = 144 m².
Since the swimming pool is a square, the length of its side, L is thus
L = √A''
L = √144 m²
L = 12 m
So, the length of a side of the pool is 12 m.