Answers
The unknown angles in the parallel lines are as follows;
x = 28
y = 23
How to find angles when parallel lines are cut by a transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as linear angles, vertically opposite angles, interior angles, corresponding angles, alternate interior angles, alternate exterior angles etc.
using vertical angles and same side interior angles,
5y - 4 + 3y = 180 (same side interior angles are supplementary)
8y - 4 = 180
8y = 180 + 4
8y = 184
divide both sides by 8
y = 184 / 8
y = 23
Hence,
3y = 2x + 13(corresponding angles)
corresponding angles are congruent.
Hence,
3(23) = 2x + 13
69 - 13 = 2x
2x = 56
x = 56 / 2
x = 28
Therefore,
x = 28
y = 23
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Related Questions
How do you find the hypotenuse of a 45 45 90 triangle?
Answers
The 45, 45, and 90 triangle is a type of isosceles triangle where the two legs are the same as each other and other non-right angles are both 45 degrees. Most of the time, Pythagoras' theorem is used for finding out the missing legs and hypotenuses of 45, 45, and 90 triangles.
The hypotenuse of a 45 45 90 triangle is calculated as the square root of the length of the leg.
We plug the known length of the leg into our 45-45-90 theorem formula:
Hypotenuse = leg * (√2)
Properties of 45-45-90 triangles :
To point out the 45-45-90 special right triangle, check for these three identifying properties:
The polygon is an isosceles right triangle.The two side lengths are congruent, and their opposite angles are also congruent.The hypotenuse (longest side) is the length of either leg times the square root (sqrt) of two, √2.Read more about the isosceles triangle:
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3 friends made $630 at their lemonade stand over the summer. If they share their profit equally, how much will each friend get? *
Answers
Answer:
Step-by-step explanation:
630/3=210 for each
Answer:
$120
Step-by-step explanation:
Basically, this question is asking how much each friend gets if they split it equally.
------
So:
630 (The profit) ÷ 3 (The friends) = 120
------
Have a good day :)
Someone help me please.
Find the volume of the sphere. Leave the answer in terms of Pi and as a fraction
Answers
Answer:
I got chuuuu
————————-
When dad got the bill at the restaurant, it gave the cashier a coupon for 15% off his entire order. How much was the bill after the coupon
Answers
Answer:
This doesnt give enough things to answer
# of faces?
# of edges?
# of vertices?
HELP (links= report)
Answers
Step-by-step explanation:
Face is 5 the edges is 10 the vertices is 12
Angle PQT = 140 degrees. What is the measure of angle OQR?
0
Р
a Q
R
140
S
T
U
V
Answers
Answer:
the angle oqr in degree is 40°
write the formula of sin2A in terms of cotA
Answers
Step-by-step explanation:
The formula of sin 2A in terms of cotA is
[tex] \frac{2cot \: a}{1 + {cot}^{2} a} [/tex]
Hope it will help :)❤
Answer:
the formula of sin2A in terms of cotA is
2cotA/1+ cot²A
hope it is helpful to you
PLEASE HELP SOLVE THIS GRAPH
Answers
Answer:
I'm pretty sure that is the correct answer
Step-by-step explanation:
Suppose ABCD is a parallelogram. Find the value of x and y.
Answers
answer:
x = 4
y = 19
step-by-step explanation:
we know that this is a parallelogram, so opposite sides are equalthis is one of the properties of a parallelogramtherefore,
segment AB = segment DC and segment AD = segment BC
now plug in the expressions according to what we know (& solve)AB = DC
5x - 13 = 9x - 29
-13 = 4x - 29
16 = 4x
x = 4
AD = BC
3y - 11 = 2y + 8
y - 11 = 8
y = 19
A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both children are put to bed on time. If the babysitter gets the children to bed on time, what expression could be used to determine how much the babysitter earned?
Answers
What is the sum of 3 sides?
Answers
The sum of the three sides of the triangle is 24.
The sum of three sides of a triangle is calculated using the formula S = a + b + c, where a, b, and c are the lengths of each side of the triangle.
To calculate the sum of three sides of a triangle, first measure the lengths of each side and assign a value for each side. For example, if the lengths of the sides are 6, 8, and 10 respectively, then the values for each side would be a = 6, b = 8, and c = 10.
Next, plug in the values of the sides into the formula S = a + b + c to calculate the sum:
S = 6 + 8 + 10
S = 24
Therefore, the sum of the three sides of the triangle is 24.
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Amrita divides a circular disc of radius 7 cm in two equal parts. What is the perimeter of each semicircular shape disc? (USE π=22/7 )
Answers
The perimeter of each semicircular shape disc created by Amrita by dividing a circular disc of radius 7 cm into two equal parts is 44 cm. This is calculated by multiplying the circumference of the circle (2πr = 2 × 22/7 × 7 = 44 cm) by half.
Amrita divided a circular disc of radius 7 cm into two equal parts. This created two semicircular shape discs
Step 1: Calculate the circumference of the original circle.
Circumference of a circle = 2πr
Circumference of the circle with a radius of
7 cm = 2πr = 2 × 22/7 × 7 = 44 cm
Step 2: Calculate the perimeter of each semicircular shape disc.
The semicircular shape discs are created by dividing the original disc into two equal parts. Therefore, the perimeter of each semicircular shape disc is half of the circumference of the original circle.
Perimeter of each semicircular shape disc
= 44 cm/2
= 22 cm
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What is the estimated perimeter of an ellipse if the major axis has a length of 15 ft and the minor axis has a length of 7.5 ft
Answers
The estimated perimeter of an ellipse if the major axis has a length of 15 ft and the minor axis has a length of 7.5 ft id found to be 37.3 feet .
Perimeter is calculated as
= 2*pi*r*r
= 2 *3.14 * sqrt (15/2² +7.5/2²)/2
= 6.28 x sqrt (56.25+14.0625/2 6.28) *sqrt (35.15625) 6.28 * 5.929270613
= 37.235 feat
An ellipse is the locus of all the points on a plane whose distances from two fixed points in the plane are always same. The fixed points, which are encompassed by the curve, are known as foci , singular of focus.
The constant ratio is the eccentricity of the ellipse and the fixed line is directrix. Eccentricity is an element of ellipse which denotes elongation and is symbolized by the letter 'e'.
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If you divide 6! by 4! you are evaluating
P(6.4)
P(4, 6)
P(6. 2)
Answers
The sun of a number, x, and 1/2 is equal to 4. What set of equations correctly repaints x
Answers
The set of equations correctly representing x are as follows:
(x + 1/2) and (x = 7/2).
What exactly is a set or group of equations?A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one that has two equations as well as two variables. Linear equations (those that graph as straight lines) are easier to understand than non-linear ones.
What is the name of an equation system?Systems of equations in mathematics are a collection of relationships between different unknown variables that can be stated in terms of algebraic expressions. They are also known as simultaneous equations. Graphing, substitution, as well as elimination by addition, are methods that can be used to find the solutions to a basic system of equations.
According to the given information:Sum means addition (+).
Given that sum of a number, x and 1/2 is 4.
This means the adding two numbers
x+1/2=4
Now make x the subject of formula,
x=4-1/2
Finding the L.C.M = 8-1/2
x=7/2
∴ x=3 1/2
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What is:
(7*8) + (42-8) / 4
Answers
Answer:
5.5
Step-by-step explanation:
7*8=56
42-8=34
56-34=22
22/4=5.5
Tell whether 30 is divisible by 2
Answers
Answer: Yes
Step-by-step explanation
Since the number being divided has a 0, it can be divided by 2
Triangle ABC is similar to triangle A′B′C′. Calculate the length of the missing sides. FAST!!!
Answers
Step-by-step explanation:
s=squared
Cs=As+Bs
Cs=4s+3s
Cs=16+9
cs=25
C is the square root Cs
25= 5
AB=5
Which is the factored form of 2x^3+4x^2-x
Answers
Answer:
Factor x out of 2x3+4x2−x
x(2x^2+4x−1)
Step-by-step explanation:
math_way
If you could take one sample from the mystery bag in order to make a prediction, would you rather draw a sample of 10 marbles or a sample of 20 marbles. Explain your choice by referring to the representations of the two distributions.
Answers
I would choose to draw a sample of 20 marbles in order to make a more accurate prediction.
How to illustrate the sample?In general, it is generally better to draw a larger sample if you are trying to make a prediction. This is because a larger sample will provide more information and will therefore lead to a more accurate prediction.
For example, imagine that you are trying to predict the proportion of red marbles in a bag based on the samples that you draw. If you draw a sample of 10 marbles, there is a good chance that the proportion of red marbles in your sample will be different from the true proportion of red marbles in the bag.
However, if you draw a sample of 20 marbles, the proportion of red marbles in your sample will be more likely to be closer to the true proportion of red marbles in the bag.
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Which action will raise your credit score? Paying bills late Acquiring a lot of loans Paying bills early or on time borrowing more money than you can repay
Answers
Answer:
Paying bills early or on time
Step-by-step explanation:
choose the best description of how the data sets shown below compare to one another
Answers
B. Similar spreads different centers.
What is the length of the unlabled side of the triangle?
Answers
Answer:
a or b (probably a)
Step-by-step explanation:
Yoshi is standing on top of a building, looking at a park in the distance. The angle of depression is
53°. If the building he's standing on is 100 feet tall, how far away is the park to the nearest
hundredth of a foot?
105
53°
Park
Answers
100
Step-by-step explanation:
because after 105 it's 100
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
89/80
Step-by-step explanation:
cos = adjacent/hypotenuse
Answer:
80/89
Step-by-step explanation:
A bag drawing contains 2 red balls and18 green a ball is chosen at random from the bag
Answers
Probability of drawing a red ball:
Total number of balls = 2 + 18 = 20
number of red balls = 2
number of green balls = 18
total number of favourble outcomes = 2
probability = number of favourable outcomes/number of total outcomes.
= 2/20 = 1/10
Therefore probability of drawing a red ball is 1/10.
Probability of drawing a green ball:
total number of balls = 2 + 18 = 20
number of green balls = 18
number of red balls = 2
total number of favorable outcomes = 18
probability = number of favourable outcomes/number of total outcomes.
= 18/20 = 9/10
Therefore probability of drawing a green ball is 9/10.
HELP PLS
What is the perimeter of the triangle?
Answers
Answer:
[tex]p=48 ~units[/tex]
Step-by-step explanation:
[tex]x^2=12^2+9^2[/tex]
[tex]x^2=144+81[/tex]
[tex]x^2=2225[/tex]
[tex]x=15[/tex]
[tex]p=15+15+18[/tex]
[tex]p=48 ~units[/tex]
-----------------------
hope it helps...
have a great day!!
Answer:
p=48 units
Step-by-step explanation:
hope it helps..
help please and thank you
Answers
The equation that represents the situation is
2p + 194.99 = 284.97
Option B is the correct answer.
The price of each game is $44.99.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Game system price = $194.99
Total price = $284.97
194.99 + 2 games = $284.97
Games = p
Now,
The price of each game.
194.99 + 2p = 284.97
2p = 284.97 - 194.99
2p = 89.98
p = 44.99
Thus,
The equation is 194.99 + 2p = 284.97.
The price of each game is $44.99.
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Find the area of the circle .Round your answers the nearest whole number if necessary.use 3.14 or 22/7
Please help
Answers
Select the correct answer from each drop-down menu. Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the tray in terms of its width, x, in centimeters. 5 x2 + 3 x = 252 Is it possible for the width of the tray to be 7.5 centimeters?
Answers
Answer:
w = 7 cm
Step-by-step explanation:
Volume = 252 cm³
Height, h = 3cm
Let width = w
Length, l = w + 5
Volume of rectangular prism, V = l * w * h
252 = (w + 5) * w * 3
252 = (w + 5) * 3w
252 = 3w² + 15w
3w² + 15w - 252 = 0
w² + 5w - 84 = 0
w² + 12w - 7w - 84 = 0
w(w + 12) - 7(w + 12) = 0
(w + 12) = 0 or (w - 7) = 0
w = - 12 or w = 7
w cannot be negative
Hence, w = 7 cm