Answers
Note how the triangles here have the angles between the marked sides. The tickmarks indicate which pair of sides are the same length. The SAS sequence has "A" in the middle of the two "S" letters to mean that the angles are between the sides.
------------
Extra info:
For choice A, we have SSA going on but that isn't a valid congruence theorem. There isn't enough info to say whether the triangles are congruent or not.With choice B, we have three pairs of angles that are the same measure. We don't have any info about the sides though. So we can't say if the triangles are congruent or not. The AA (angle angle) theorem only applies to similar triangles rather than congruent triangles.The first pair of triangles can be proven congruent by SAS.
What is SAS postulate?SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are said to be congruent.
Here, we have,
In the first pair of triangles the included angle of a triangle are equal to two sides and the included angle of another triangle, therefore by SAS postulate the two triangles are said to be congruent.
In the second figure, the pair of triangles are congruent by ASA postulate not SAS.
In the third figure, the pair of triangles are not congruent by any postulate or theorem [Because there is no SSA rule].
In the fourth figure, the pair of triangles are congruent by SSS postulate not SAS.
Hence, The first pair of triangles can be proven congruent by SAS.
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Related Questions
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
[tex]\boxed{\mathrm{all \: real \: numbers}}[/tex]
Step-by-step explanation:
[tex]F(x)=2^x[/tex]
The domain of a function is the set of input values that the function can take.
There are no restrictions on the value of x.
The domain of the function is all real numbers.
[tex]- \infty\leq x\leq \infty[/tex]
A randomized study compared two drugs that
are designed to lower a person's triglyceride
level. It was found that over a 1-year period,
those receiving Drug A decreased their
triglyceride level by a mean of 69. Those
receiving Drug B decreased their triglyceride
level by a mean of 45.
To determine whether the results are significant,
the data are rerandomized and the difference of
the means is shown in the dot plot.
What is the best conclusion to make based on
the data?
Answers
Answer:b
Step-by-step explanation:
2 3/8 ÷ 1 1/4
Steps
19/8 x 4/5
= 19/10
= 1 9/10
So the answer to this is B.
Suppose your car has hhh liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is ggg liters.
Answers
Answer:
g = (h+a) - l
None of them
Step-by-step explanation:
Suppose your car has h liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is g liters. Which of the following expressions always represents how far away the new oil level is from the previous oil level? H+G lGl none of them
Let
h = liters of oil in the morning
l= liters that has leaked
a= liters that were added during the day
g= amount of liters at the end of the evening
Total liters of oil in the evening= (litres of oil in the morning + litres of oil added during the day) - litres of oil that leaked
Substituting each variable into the formula, we have
g = (h+a) - l
Please answer this in two minutes
Answers
Answer:
[tex] x = 6.6 [/tex]
Step-by-step explanation:
Given ∆WXY,
<X = 15°
<Y = 23°
y = 10
x = ?
To find side x, use the Law of sines as shown below:
[tex] \frac{x}{sin X} = \frac{y}{sin Y} [/tex]
Plug in the values of y, Y, and X
[tex] \frac{x}{sin 15} = \frac{10}{sin 23} [/tex]
[tex] \frac{x}{0.2588} = \frac{10}{0.3907} [/tex]
Cross multiply
[tex] x*0.3907 = 10*0.2588 [/tex]
Divide both sides by 0.3907 to solve for x
[tex] \frac{x*0.3907}{0.3907} = \frac{10*0.2588}{0.3907} [/tex]
[tex] x = \frac{2.588}{0.3907} [/tex]
[tex] x = 6.624 [/tex]
[tex] x = 6.6 [/tex] (to nearest tenth)
Answer ill mark the brainliest please help
Answers
Answer:
42
Step-by-step explanation:
You can get this right from the table. 42 females had a positive opinion about the campus.
Answer:
42
Step-by-step explanation:
Let's look at the intersection of the "positive opinion" column and "female" row, the number we see at the intersection is 42.
NEED HELP NOWWW Which of the following is a monomial?
O A. 9/x
O B. 20x - 14
O C. 11 x^2
D. 20^9 - 7x
Answers
Answer: C
Step-by-step explanation:
A monomial is a expression where in it is x to the power of something, and x cannot be a denominator
Find the y-intercept and the axis of symmetry of f(x)=ax2+2ax+3.
Answers
Answer:
[tex] y= cx^2 +dx +e[/tex]
We see that:
[tex] c = a, d= 2a , e= 3[/tex]
The axis of symmetry is defined by this formula:
[tex] X= - \frac{d}{2c}[/tex]
And replacing we got:
[tex] X= -\frac{2a}{2a}= -1[/tex]
Thn the axis of symmetry would be X=-1
Step-by-step explanation:
For this case we have the following function:
[tex] y = ax^2 +2ax +3[/tex]
If we compare this function with the general expression of a quadratic formula given by:
[tex] y= cx^2 +dx +e[/tex]
We see that:
[tex] c = a, d= 2a , e= 3[/tex]
The axis of symmetry is defined by this formula:
[tex] X= - \frac{d}{2c}[/tex]
And replacing we got:
[tex] X= -\frac{2a}{2a}= -1[/tex]
Thn the axis of symmetry would be X=-1
Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3? A. A B. B C. C D. D
Answers
If you’re still not convinced, plug 1 back into the equations and you get y=1 for both.
Therefore, the answer is D.
Use the ratio of a 30-60-90 triangle to solve for the variables. Make sure to simplify radicals. Leave your answers as radicals in simplest form. u= n=_____square root________
Answers
Answer:
A. v = 19√3.
B. u = 38.
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 60°
Adjacent = 19
Opposite = v
Hypothenus = u
A. Determination of the value of 'v'
The value of v can be obtained by using Tan ratio as shown below:
Angle θ = 60°
Adjacent = 19
Opposite = v
Tan θ = Opposite /Adjacent
Tan 60 = v/19
Cross multiply
v = 19 × Tan 60
Tan 60 = √3
v = 19 × √3
v = 19√3
Therefore, the value of v is 19√3
B. Determination of the value of 'u'
The value of u can be obtained by using cosine ratio as shown below:
Angle θ = 60°
Adjacent = 19
Hypothenus = u
Cos θ = Adjacent /Hypothenus
Cos 60 = 19/u
Cos 60 = 1/2
1/2 = 19/u
Cross multiply
u = 2 × 19
u = 38
Therefore, the value of u is 38.
Select the number of solutions for each system of two linear equations.
Answers
Answer:
work is shown and pictured
C, infinitely many solutions.
B, one solution.
C, infinitely many solution.
A system of linear equations:A system of linear equations is a collection of one or more linear equations involving the same variables.
A system of linear equation has
one solution when the graph intersect at a point.no solution when the graphs are parallel.infinitely many solutions when the graphs are exact same line.According to the given questions
the given system of equations
(1). 2x+2y=3 and 4x+4y=6
if we see the graph of the above system of linear equations, the graphs are the" exact at same line".
Hence, they have infinitely many solution.
(2). 7x+5y=8 and 7x+7y =8
if we see the graph of the above system of linear equations, the graphs are intersecting at a single point.
Hence, there is only one solution.
(3). -2x+3y=7 and 2x-3y=-7
if we see the graph of the above system of linear equations, the graphs are exact at same line.
Hence, there is infinitely many solutions.
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plz help me 3y+x=7
4x-2y=0
Answers
Answer:
x = 1
y = 2
Step-by-step explanation:
3y + x = 7 first equation
-2y + 4x = 0 second equation
multiplying by -4 the first equatión
-4(3y + x = 7)
-4*3y -4*x = -4*7
-12y -4x = - 28
and sum the second equation:
-12y - 4x = -28
- 2y - 4x = 0
-14y - 0 = -28
-14y = -28
y = -28/-14
y = 2
from the first equation:
3y + x = 7
3*2 + x = 7
6 + x = 7
x = 7 - 6
x = 1
Check:
from the second equation:
4x - 2y = 0
4*1 - 2*2 = 0
4 - 4 = 0
x over 4 + 3/5 is equal to 3x over 5 - 2
Answers
Answer:
[tex]\huge\boxed{x=\dfrac{52}{7}=7\dfrac{3}{7}}[/tex]
Step-by-step explanation:
[tex]\dfrac{x}{4}+\dfrac{3}{5}=\dfrac{3x}{5}-2\qquad\text{multiply both sides by}\ LCD=20\\\\20\cdot\dfrac{x}{4}+20\cdot\dfrac{3}{5}=20\cdot\dfrac{3x}{5}-20\cdot2\\\\5\cdot x+4\cdot3=4\cdot3x-40\\\\5x+12=12x-40\qquad\text{subtract 12 from both sides}\\\\5x+12-12=12x-40-12\\\\5x=12x-52\qquad\text{subtract}\ 12x\ \text{from both sides}\\\\5x-12x=12x-12x-52\\\\-7x=-52\qquad\text{divide botgh sides by (-7)}\\\\\dfrac{-7x}{-7}=\dfrac{-52}{-7}\\\\x=\dfrac{52}{7}[/tex]
One number is 5 times another. If their
difference is 96, find the numbers.
Answers
Answer:24
Step-by-step explanation:
24*5=120.
So the difference between 120-24=96.
The required number, one number is 5 times another and their difference is 96 is 24 and 120.
One number is 5 times another. If their difference is 96, To find the numbers.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements.
Let the number be x and y
According to the first condition,
One number is 5 times another.So,
y = 5x
Following the second condition,
their difference is 96. So,
y - x = 96 - - - - - (1)
Now put y = 5x in the above equation
5x - x = 96
4x = 96
x = 96/4
x = 24
Now put x = 24 in y = 5x
y = 5*24
y = 120
Thus the required number, one number is 5 times another and their difference is 96 is 24 and 120.
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What is the solution to this system of linear equations? 3x – 2y = 14 5x + y = 32 (3, 5) (6, 2) (8, –1) (14, –18)
Answers
Answer:
work is shown and pictured
The solution to the system of linear equation is (x, y) = (6, 2)
3x - 2y = 14 (1)
3x - 2y = 14 (1)5x + y = 32 (2)
From (2)
y = 32 - 5x
Substitute y = 32 - 5x into (1)
3x - 2y = 14 (1)
3x - 2(32 - 5x) = 14
3x - 64 + 10x = 14
13x = 14 + 64
13x = 78
x = 78/13
x = 6
Substitute x = 6 into (2)
5x + y = 32 (2)
5(6) + y = 32
30 + y = 32
y = 32 - 30
y = 2
(x, y) = (6, 2)
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Find the domain of each function: g(x)= 1/x−9
Answers
Answer:
x ∈ R, x ≠ 9
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{x-9}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined.
To find the value that x cannot be, equate the denominator to zero and solve for x
x - 9 = 0 ⇒ x = 9 ← excluded value
Thus the domain is x ∈ R, x ≠ 9
To obtain a Class E license, you don’t need to
Answers
Answer:
provide a valid passport
Step-by-step explanation:
Answer:
be a us citizen
Step-by-step explanation:
A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 15, 5, 30, 50. The third column is labeled Y with entries 5, 8, 15, 28. The fourth column is labeled Z with entries 10, 7, 5, 22. The fifth column is labeled Total with entries 30, 20, 50, 100. Which two events are independent?
Answers
Answer:
hey! it's A and X on edge :)
Mark uses an app that shows him how many kilometers he has run to prepare for a marathon. The app said he ran 9.654 kilometers. He wants to post online how many miles he ran. Mark ran ___ miles.
Answers
Answer:
6 miles
Step-by-step explanation:
We are told that mark ran 9.654 kilometers.
We want to find out the distance in miles.
Now, to convert from kilometres to mile, we know that;
1.609 kilometers = 1 mile
Thus;
9.654 kilometers = (9.654 × 1)/1.609 miles = 6 miles
So, the number of miles he will post online is 6 miles
Using leaner combination method what is the solution to the system of linear equations 7x-2y=-20 and 9x+4y=-6
Answers
Answer:
x = -2 and y = 3
Step-by-step explanation:
In linear combination method we try one of the variables from bopth of equations by
first making the variable equal in vlaue
then either subtracting or adding the two equation as required to eliminate the variable.
_____________________________________________
7x-2y=-20 equation 1
and 9x+4y=-6 equation 2
we see that y has
has value -2 and +4
4 = 2*2
thus, if we multiply equation1 with 2 we will give value for variable y as 4y and hence y can be eliminated easily.
7x-2y=-20
multiplying the LHS and RHS with 2
2(7x-2y)=-20 *2
=> 14x - 4y = -40 eqaution 3
now that we have got 4y
lets add equation 2 and equation 3
9x +4y= -6
+14x - 4y = -40
________________________________
=> 23x + 0 = -46
x = -46/23 = -2
Thus, x = -2
substituitinng x = -2 in 7x-2y=-20
7*-2 -2y=-20
=> -14 -2y = -20
=> -2y = -20+14 = -6
=> y = -6/-2 = 3
Thus, y = 3
solution is x = -2 and y = 3
Find the product.
7xy(3x2y3)
PLEASES HELP!!! ASAP!!!
Answers
Answer:
21x³y^4
Step-by-step explanation:
7xy(3x^2y^3)=
21x³y^4
Answer:
21x^3y^4
Step-by-step explanation:
Multiply each term:
21x^3y^4
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Which of the following pairs are like terms? Select all that apply.
11a and 13a power of 2
18k and 18b
7x and 16x
17yz and 12y
9pq and 8qp
Answers
Answer:
9pq, 8qp, and 7x, 16y
Step-by-step explanation:
these pairs have the same variable and exponent. To be a like term, you have to have same variables and same exponents, so therefore 11a and 13a^2 can't be like terms.
S = { x ; x is a multiple of 8. 0 < x <30 } Describe this set in another method
Answers
Step-by-step explanation:
Hi,
Let's describe it in listing method;
S= {8,16,24}.
Hope you got it...
Determine which one of the following statements is true.
A. Linear growth will always exceed exponential growth.
B. Linear growth will always exceed quadratic growth.
C. Quadratic growth will always exceed exponential growth.
D. Exponential growth will always exceed linear growth.
Answers
Answer:
D. Exponential growth will always exceed linear growth.
Step-by-step explanation:
An "exponential growth function" would always exceed the "linear growth function" in the end because the "x-values" tends to get larger in continuation, so the change rate associated with the "exponential function" also increases in continuation whereas the "linear functions' change rate is considered as constant.
In the question above, option D is correct.
Melinda drives 60 2/5km in 1 hour. How many kilometers dose he drive in 5 hours ?
Answers
Answer:
60 2/5 x 5 = 60 x 5 + 2/5 x 5
60 x 5 = 300
2/5 x 5 = 2
300 + 2 = 302 so 302 is the answer
302 km for 5 hours
Step-by-step explanation:
Step-by-step explanation:
Km in 1 hour = 60 2/5 = 60.4km
Km in 5 hours = 60.4 x 5 = 302km
CAN ANYONE HELP IM VERY CLUELESS
Answers
Answer:
51°
Step-by-step explanation:
A circle has a total of 360 degrees. So,
360 = 62 + 66 + x + 73 + x + 57
Next, combine like terms:
360 = 2x + 258
Next, isolate your variable by subtracting 258 from both sides:
102 = 2x
Finally, divide both sides by 2 to get x:
x = 51
Answer:
x = 51
Step-by-step explanation:
x + 73 + x + 57 + 62 + 66 = 360
2x + 258 = 360
2x = 360 - 258
2x = 102
[tex]\frac{x}{2} =\frac{102}{2}[/tex]
x = 51
An observer on the top of a lighthouse observes the angles of depression of two ship at anchor to be 75 and 45 respectively. Find the distance between the two ships if the line joining them points to the base of the light house which is 100 meters high. (use tan 15 = 0.27) Answer should be 73 meter.
Answers
Answer:
Distance between two ships = 73 units
Step-by-step explanation:
Note:
tangent = opposite / hypotenuse
Referring to diagram,
Distance of ship A from tower = 100 tan(90-45) = 100 units
Distance of ship B from tower = 100 tan(90-75) = 100 tan (27) = 27 units
Distance between two ships = 100-27 = 73 units
Someone help quick!!!
The diagram shows several points and lines. Which statements are true based on the diagram? Select two options.
A. Points K, M, and N are collinear
B. Points J, K, and Q are collinear
C. Points are is the intersection of the line KN and the line MQ
D. Find JQ, KM, and MQ all
intersect at point K
E. There is only one line that can be drawn through points L and P
Answers
Answer:
B, E
Step-by-step explanation:
J, K, Q are all on the same line: collinear
You can draw only one line through L and P
Answer:
b,e
Step-by-step explanation:
e2020
Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three eighths the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television
Answers
Answer:
32 inches by 64 inches
Step-by-step explanation:
Since the generic television is [tex]\frac{3}{8}[/tex] the size of the brand name.
Then the brand name is [tex]\frac{8}{3}[/tex] the size of the generic, thus
[tex]\frac{8}{3}[/tex] × 12 = 32
[tex]\frac{8}{3}[/tex] × 24 = 64
Thus dimensions are 32 inches by 64 inches
Answer:
The dimensions are 32 inches by 64 inches
Find the area of an equilateral triangle (regular 3-gon) with 6-inch sides. Round your answer to the nearest hundredth.
Answers
Answer:
15.59 in^2
Step-by-step explanation:
The area of an equilateral triangle with side length "s" is given by ...
A = (√3)/4·s^2
Filling in your numbers, we have ...
A = (√3)/4·(6 in)^2 = 9√3 in^2
A ≈ 15.59 in^2
The area is about 15.59 square inches.
The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units. An isosceles triangle is rotated about line k on one side. The opposite side has a length of 24 units. Which best describes the resulting three-dimensional shape? a cone with a base radius of 17 units a cone with a base radius of 34 units a cylinder with a base radius of 17 units a cylinder with a base radius of 34 units
Answers
Answer:
a cone with a base radius of 17 units
Step-by-step explanation:
The computation of three-dimensional shape is shown below:-
Data provided
Perimeter of Triangle = 58 units
One non equal side = 24 units
We will assume two equal side = x units
x + x + 24 = 58
2 x = 58 - 24
2 x = 34
[tex]x = \frac{34}{2}[/tex]
x = 17
As we can see that the triangle is rotated about line k
This will give in a cone as it is a dimensional shape of three
So, the shape which is new will be of cone having radius 17 units
slant height 24
height k units
Answer:
A
Step-by-step explanation: