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ololo11 [35]
2 years ago
14

Geometry question Need help with #10

Mathematics
1 answer:
Lena [83]2 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

Line segment SU is a bisector of angle <TSV which means it divided the angle into two equal parts:

The measure of <TSV = 62 in this case the measure of <VSU = 62/2 = 31

we can write the following equation to find the value of x

5x + 1 = 31 subtract 1 from both sides

5x = 30 divide both sides by 5

x = 6

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The are of square frame is 55 square inches. find length of one side frame explain​
dangina [55]

Answer:

\sqrt {55} inches

Step-by-step explanation:

Let x inches be the length of one side of the frame. The frame is the square, so all sides have the same lengths.

Use formula A=x^2\ in^2 connecting the area of the square and the side length of the square.

Since the area ofthe square is 55 square inches, we have

x^2 =55\\ \\x=\sqrt {55}\ in

6 0
3 years ago
Need help with this problem:
Nitella [24]

Answer:

<em>Henson: 3x + y = 163</em>

<em>Garcia: 2x + 3y = 174</em>

<em>adult ticket price: $45</em>

<em>child ticket price: $28</em>

Step-by-step explanation:

Henson Family:

3 adults + 1 child; total $163

3x + y = 163

Garcia Family:

2 adults + 3 children; total $174

2x + 3y = 174

Now we solve the system of equations.

Solve the first equation (Henson Family) for y.

y = 163 - 3x

Substitute 163 - 3x for y in the second equation (Garcia Family).

2x + 3<em>y</em> = 174

2x + 3(<em>163 - 3x</em>) = 174

2x + 489 - 9x = 174

-7x + 489 = 174

-7x = -315

x = 45

Now substitute 45 for x in the first original equation and solve for y.

3x + y = 163

3(45) + y = 163

135 + y = 163

y = 28

adult ticket price: $45

child ticket price: $28

8 0
3 years ago
A pedestal for a statue is made with 405 cubic feet of concrete. a rectangular prism with a height of 9 feet. what is the area o
enyata [817]

45 square feet is the area of the base of the pedestal.

what is rectangular prism?

  • A rectangular prism is a 3D figure with 6 rectangular faces.
  • To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

we know that

The volume of the pedestal (rectangular prism) is given by the formula

   V =   B × h

where

B is the area of the rectangular base of pedestal

V = 405 ft³

h = 9 ft

put the given values in the formula and solve for B

405 = B × 9

B = 405/9

B = 45 ft²

Therefore, 45 square feet is the area of the base of the pedestal.

Learn more about rectangular prism

brainly.com/question/21308574

#SPJ4

3 0
2 years ago
A zoo measured the wingspan, in millimeters, of 9 butterflies.
finlep [7]
The median is the middle of your data when it is arranged in order.

Since you have 9 data points, the median will be the 5th value.
Your data in numerical order would be:
50 50 52 53 54 55 55 55 57

Therefore, the median is 54mm
8 0
3 years ago
Read 2 more answers
What is 10³×10 to the negative 3 power
nydimaria [60]
10^3 × 10^-3 = 10^0 = 1
5 0
3 years ago
Read 2 more answers
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