Answers
Answer:
1. ∠1 = 120°
2. ∠2 = 60°
3. ∠3 = 60°
4. ∠4 = 60°
5. ∠5 = 75°
6. ∠6 = 45°
Step-by-step explanation:
From the diagram, we have;
1. ∠1 and the 120° angle are corresponding angles
Corresponding angles are equal, therefore;
∠1 = 120°
2. ∠2 and the 120° angle are angles on a straight line, therefore they are supplementary angles such that we have;
∠2 + 120° = 180°
∠2 = 180° - 120° = 60°
∠2 = 60°
3. Angle ∠3 and ∠2 are vertically opposite angles
Vertically opposite angles are equal, therefore, we get;
∠3 = ∠2 = 60°
∠3 = 60°
4. Angle ∠1 and angle ∠4 an=re supplementary angles, therefore, we get;
∠1 + ∠4 = 180°
∠4 = 180° - ∠1
We have, ∠1 = 120°
∴ ∠4 = 180° - 120° = 60°
∠4 = 60°
5. let the 'x' and 'y' represent the two angles opposite angles to ∠5 and ∠6
Given that the two angles opposite angles to ∠5 and ∠6 are equal, we have;
x = y
The two angles opposite angles to ∠5 and ∠6 and the given right angle are same side interior angles and are therefore supplementary angles
∴ x + y + 90° = 180°
From x = y, we get;
y + y + 90° = 180°
2·y = 180° - 90° = 90°
y = 90°/2 = 45°
y = 45°
Therefore, we have;
∠4 + ∠5 + y = 180° (Angle sum property of a triangle)
∴ ∠5 = 180 - ∠4 - y
∠5 = 180° - 60° - 45° = 75°
∠5 = 75°
6. ∠6 and y are alternate angles, therefore;
∠6 = y = 45°
∠6 = 45°.
Related Questions
?% of $10 = $9
What is the percentage
Answers
Answer:
90%
Step-by-step explanation:
there are 100 % if you multiplied 10 by 10 you get that 100 % so multiply 9 by 10 to get 90 and that is your answer
Answer:
$90%
Step-by-step explanation:
90/100 *10.
9*1
$9%
Select the correct answer.
Which statement describes the end behavior of the function f(x) = 3|x − 7| − 7?
A.
As x approaches negative infinity, f(x) approaches negative infinity.
B.
As x approaches negative infinity, f(x) approaches positive infinity.
C.
As x approaches positive infinity, f(x) approaches negative infinity.
D.
As x approaches positive infinity, f(x) is no longer continuous.
Answers
Answer:
answer is B..as x approaches negative infinity,f(x) approaches positive infinity.
there are 45 students In a class. if 60% of them are girls. find the numbers of girls and boys
Answers
Step-by-step explanation:
No. of students in class = 45 .
Percentage of girls = 60% .
No . of girls = 45 × 60/100 = 45 × 3/5 = 18 .
No. of boys = 45 - 18 = 27
Answer:
27 girls
18 boys
Step-by-step explanation:
Convert 60% to a decimal.
60% · .01 = 0.6Multiply 45 students by 0.6 to find the number of girls in the class.
45 * 0.6 = 27 girlsSubtract this amount from the total number of students in the class.
45 - 27 = 18 boysThere are 27 girls and 18 boys in the class.
Aaron drank 15 oz of juice. This was 30% of the bottle. How many ounces of juice were in the
bottle originally.
Answers
Answer:
50 oz because 15 is 30 percent of 50
Step-by-step explanation:
Answer:
there was 50oz of juice originally
Step-by-step explanation:
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Answers
Answer:
A≈259.37.....Tell me its it wrog
Step-by-step explanation:
Solving a word problem involving a sum and another basic relationship using a system of linear equations.
At a basketball game, a vender sold a combined total of 130 sodas and hot dogs. The number of hot dogs sold was 44 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
Answers
sodas: 130
hot dogs: 86
there is 130 sodas sold if you subtract 44 from 130 you get how many hotdogs
Write a function rule for “The output is five more than the input.”
y=x-5
y=x+5
y=mx=b
Answers
Answer:
y = x + 5
Step-by-step explanation:
The output (y) is five more than the input (x)
and this is expressed symbolically as
y = x + 5
Help me please and sorry about the points it doesn’t let me do more than that
Answers
explanation: i’m not sure but rise/run,
y2-y1/x2-x1
(1,1.5) (4,6)
6-1.5/4-1=4.5/3=1.5
The center of a circle is at (5, –4). A point on the circle is located at (12, –4). What is the approximate circumference of the circle?
Answers
Answer:
43.98 approximately
Step-by-step explanation:
radius = [tex]\sqrt{ (5 - 12)^{2} + (-4+4)^{2} }[/tex]
= [tex]\sqrt{(-7)^{2} + 0^{2} }[/tex]
= [tex]\sqrt{49} = 7[/tex]
diameter = 14
Circumference = diameter x pi
= 14π = 43.98 approximately
help i mark brain thing
Answers
Answer:
It is D
Step-by-step explanation:
Within each coordinate it represents (x,y)
The x moves along the horizontal line and the Y moves along the vertical line.
For example: For (-5,5) move to the left 5 times, then move up 5 times.
A negative X goes to the left and a negative Y goes down.
A positive X moves to the right and a positive Y moves up.
Help asap plssss......
Answers
Answer:
-3
Step-by-step explanation:
(-4)(6)/12
-24/12
= -2
it will be nice if I get brainiest
Help me out please?.
Answers
Explanation
Rotation, translation and reflection moves the shape, resulting in a congruent shape but in a different position. Dilation changes the length/width of the shape. The shape can be similar, but not congruent.
A) sumar: m; n; e3; -2n; 10m b) sumar: x; 2y; -4y; 6x; 2x; c) sumar: a; b; c; 2a; 3c; -2a; 3b; 4c d) sumar: 2a; -b; 3c; -2a; 3b; 2c
Answers
Answer:
a) m + n + e3 + ( -2n) + 10m = 11m - n + e3
b) x + 2y -4y + 6x + 2x = 9x -2y
c) a + b + c + 2a + 3c -2a + 3b + 4c = a + 4b + 8c
d) 2a -b + 3c -2a + 3b + 2c = 2b + 5c
Step-by-step explanation:
En cada uno de los casos:
1) Reorganizas los términos
2) sumas los coeficientes de los términos semejantes
a) m + n + e3 + ( -2n) + 10m
1) Reorganizando los términos
m + 10m + n + ( -2n) + e3
2) Sumando los coeficientes de los términos semejantes
(1 + 10) m + (1 - 2) n + e3
(11)m + (-1)n + e3
11m - n + e3
__________________
b) x + 2y - 4y + 6x + 2x
1) Reorganizando los términos
x + 6x +2x + 2y - 4y
2) Sumando los coeficientes de los términos semejantes
(1 +6 +2) x + (2- 4) y
(9) x + (-2)y
9x -2y
__________________
c) a + b + c + 2a + 3c -2a + 3b + 4c
1) Reorganizando los términos
a + 2a - 2a + b + 3b + c + 3c + 4c
2) Sumando los coeficientes de los términos semejantes
(1 + 2 - 2 ) a + (1 +3) b + ( 1 + 3 +4) c
(1) a + (4)b + (8)c
a +4b + 8c
__________________
d) 2a -b + 3c -2a + 3b + 2c
1) Reorganizando los términos
2a - 2a - b + 3b + 3c +2c
2) Sumando los coeficientes de los términos semejantes
(2 - 2) a + (-1 +3) b + (3 +2)c
(0) a + (2) b + (5) c
2b + 5c
find the Missing angle
Answers
Answer:
50
Step-by-step explanation:
70+60 =130
180-130 = 50 degrees
Answer: 50
Step-by-step explanation: Every triangle is 180 degrees so add the 60 and the 70 to get 130. 180-130=50. So 50 is your answer.
Find the value of x needed to make the equation True. 3/4(20x-8)-3=54
A. x=3.8
B. x=4.2
C. x=4
D. x=3.3
Answers
Answer:
The answer is option B, x = 4.2
Brianne's town is building a pool based on a scale drawing that is 20 centimeters by 10 centimeters and uses the scale 1 cm:250 cm. What is the area of the pool in square meters? Enter the area of the pool in the box.
Answers
Answer:
[tex]A=1250m^2[/tex]
Step-by-step explanation:
From the question we are told that
Dimension of drawing
20 centimetres by 10 centimetres
Scale of drawing
1 cm:250 cm
Generally the the Main dimension of the pool is mathematically given as
[tex]L=length\ of\ scaled\ pool*250 cm\\B=length\ of\ scaled\ pool*250 cm\\L=20*250=5000 cm=50m\\B=10*250=2500 cm=25m[/tex]
Therefore Area Aof main pool is mathematically given as
[tex]A=50m*25m=1250 m^2[/tex]
[tex]A=1250m^2[/tex]
identify the like terms!! quick!! this is for a graded assignment and no links!!! is what i put right? i will give you brainliest!!
Answers
Answer:
Answer D
Yes, what you put is right :)
Step-by-step explanation:
I have a beautiful song for you :)
Mr.Beast 6000, oh
Mr.Beast 6000, oh
Mr.Beast 6000, yeah, you know his name
He changed it once or twice, but I think it's here to stay
His thumbnails were made in Paint
But if you ask me, I think they're kind of quaint
Mr.Beast 6000, oh
Mr.Beast 6000, oh
His random videos are the name of the game
Some might say they're his ticket to fame
The occasional intro may not make sense
But we all get a laugh at their expense
Mr.Beast 6000, oh
Mr.Beast 6000, oh
Mr.Beast, oh
Mr.Beast, oh
Mr.Beast, oh
Mr.Beast, oh, 6000
Mr.Beast 6000
The volume of sphere Q is 50% more than the volume of sphere P. The volume of sphere R is 50% more than the volume of sphere Q. Find the volume of sphere P as a fraction of sphere R. Write your answer in the form a/b
Answers
Help please due in 10
Answers
Answer:∞≤x≤∞
Step-by-step explanation:
Solve the equation n - 19 = 13
Answers
n = 13 + 19
n =32
A number cube has 6 different faces, numbered 1 to 6. All faces have an equal probability of being rolled. What is the probability of rolling a 5?
please no links or weird pictures!
Answers
Answer:
its a 1/6 chance
Step-by-step explanation:
each face has a 1/6 chance of being rolled since there are 6 faces
Answer:
Answer:
40.2 % to the nearest tenth.
Step-by-step explanation:
Probability( 6 on one roll = 1/6).
Probability (6 on first roll and NOT 6 on the next 5 rolls) = 1/6 * (5/6)^6
= 3125/46656
= 0.06698
Only 1 six rolled can happen in 6 different ways ( where the 6 is on the second, third roll etc.)
So the required probability is 0.06698 * 6 = 0.40188.
Step-by-step explanation:
Found this
Find the volume of the figure
Answers
Answer:
First of all are you given formulas, if yes then apply them to what you are given and find the missing outputs. I'm writing a test tomorrow on Euclidean Geometry
really confused about this
Answers
Answer:
.22/63
Step-by-step explanation:
area = pi x R^2
A=22/7 * 1/3^2
Which of the following statements is true?
A regular pentagon always has all the properties of a pentagon
A quadrilateral never has all the properties of a parallelogram
A right triangle sometimes has all the properties of a triangle
A regular hexagon never has all the properties of a hexagon
Answers
Answer:
Step-by-step explanation:
Option C a right triangle is the correct answer
Juan decided to start savings for college. He deposited $500 into an account which earns 4% simple annual interest. At the end of each year, he will add $250 to this account. How much will he have in his account after the end of three years?
a
$550
b
$770
c
$1,050.80
d
$1,342.83
Answers
Answer
I am getting a different answer The reason being the first year we calculating the 4% of the initial amount of the $500 towards the end of the year if he deposits the 250 the second year he gets to have a 4% interest of the 750 in total If he deposits the 250 in the 3rd he gets to have a 4% of 1000 So if you actually calculate that and get the total of all the amount which is 1,000 plus the percentages of all that you get what I've shared
9514 1404 393
Answer:
d $1342.83
Step-by-step explanation:
At the end of the first year, the account balance will be $500 plus 4% interest on that amount, plus the $250 deposited at the end of the year:
$500(1.04) +250 = $770
At the end of the second year, the account balance will be $770 plus 4% interest on that amount, plus the $250 deposited at the end of the year:
$770(1.04) +250 = $1050.80
At the end of the third year, the account balance will be $1050.80 plus 4% interest on that amount, plus the $250 deposited at the end of the year:
$1050.80(1.04) +250 = $1342.83
_____
Additional comment
You can make an appropriate guess by realizing the total of the deposits is ...
$500 + 3×250 = $1250
Adding interest to that will increase the amount. The only answer choice greater than $1250 is $1342.83.
PLEASE ANSWER IT COMPLETELY IM CONFUSED
If the pointer in the figure is spun twice, find the probability that the pointer lands on yellow (Y) both spins.
Answers
Answer:
0.25
Step-by-step explanation:
Well assuming the result of the spin is uniformely random, the yellow area will come up 1/2 of the time (because it takes up 1/2 of the figure).
If it needs to land on yellow both times in two spins, we can take it step by step.
The probability it lands on yellow after the first spin is 0.5
The probability it lands on yellow and then lands on yellow again is 0.5 * 0.5 = 0.25
Think of both spins as 50% yellow, 50% non-yellow
We have 4 options
yellow, yellow
yellow, non-yellow
non-yellow, yellow
non-yellow, non-yellow
Each option is equally probable, so the probability of "yellow, yellow" is 0.25
14. The Garcia family had dinner at a local restaurant. The total bill was $45. They want to
leave a 20% tip. How much will they leave for the tip?
a.
$4.00
b. $5.00
c. $9.00
d. $20.00
infine
Answers
Answer: c. $9.00
Step-by-step explanation:
45 x .20 = 9.00
the cost of equal-priced DVD and the number purchased
Answers
Answer:
Linear relationship
Step-by-step explanation:
ok <3
34+89 = __________. someone help i suck at math my guy
Answers
Answer:
123
Hope it helps!!!
The sum of the digits in a two digit number is 5. If 27 is subtracted from the number then places of the digits are interchanged. Find the number. Please answer this with clarification! Thankyou<3
Answers
Please find the attached photograph for your answer