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eduard
2 years ago
7

RSTU is a parallelogram. If m TSV = 31° and m SVT = 126°, explain how you can find the measure of angle URV show all steps of yo

ur work and refer to any properties of triangles parallelograms are triangle congruency theorems as necessary to justify your response

Mathematics
1 answer:
Juliette [100K]2 years ago
7 0

Answer:

23 degrees

Step-by-Step Explanation:

SU is the transversal between the two parallel lines ST and RU

so angle SUR is equal to angle TSV=31 degrees

angle RVU is 126 degrees also because it is a vertical angle with angle SVT

angle URV is the angle being looked for in the triangle URV, and we know the two others sum to 157 degrees.

Therefore, it is 23 degrees.

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the admission fee at an amusement park is $3.50 for children and $7.20 for adults. on a certain day, 344 people entered the park
snow_lady [41]

Answer:

180 adults, 164 children

Step-by-step explanation:

Assuming all the people admitted are children,

total fees collected

= 344($3.50)

= $1204

Difference in amount collected

= $1870 -$1204

= $666

This difference in amount is due to the extra cost from each adult admission fee that we assumed to be children.

Difference in each admission fee

= $7.20 -$3.50

= $3.70

Number of adults admitted

= $666 ÷$3.70

= 180

Number of children admitted

= 344 -180

= 164

4 0
2 years ago
Evaluate the polynomial when (a) x=0 and (b) x=-1
Ksenya-84 [330]
When x is 0 y would be -7 and when x=-1 y=-16
6 0
2 years ago
A scatter plot was made to show the number of homes in a town based on the year. A trend line was drawn on the graph with an equ
Cerrena [4.2K]

Answer:

a; 2,305 houses

b; Year 2002

Step-by-step explanation:

In this question, we are tasked with calculating the number of homes in 2015 and the year when the town will have 1213 houses.

To work with both questions, we will need to go back to the equation of the line

y = 84x + 625

To the first question, since we want to find the number of houses in 2015, we are definitely looking to calculate the value of y here.

hence y = 84(2015-1995) + 625

y = 84(20) + 625

y = 2,305 houses

Kindly note that we had to subtract 1995 from 2015 because we were made to know that 1995 is the y we start to count the number of years making it a point that whatever x value we want to calculate, we need to subtract the value

Now to the second part, we insert the value 1213 here for y so as to get x

1213 = 84x + 625

84x = 1213 - 625

84x = 588

x = 588/84

x = 7 years

Now from the question, we were made to know that x is the number of years since 1995. This means that the year in which the number of houses will be 1213 will be 1995 + 7 years = 2002

7 0
2 years ago
(y2–1.75y–3.2)–(0.3y2+4)–(2y–7.2)
Nuetrik [128]

Answer:

0.7y2−3.75y

Step-by-step explanation:

8 0
2 years ago
Help me out please????
MrRa [10]

Answer:

Y = 60 because a equallateral triangle is always 60˚ I don't know x though

4 0
2 years ago
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