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NeX [460]
4 years ago
5

What is the area of the trapezoid? 20 ft 24 ft

Mathematics
1 answer:
Semmy [17]4 years ago
6 0
I think the answer is 44
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Find VT. <br> Find RS. <br><br> (U is on the perpendicular bisector of Segment RT.) <br> Find UT.
jeyben [28]

Applying the Pythagorean Theorem and the definition of Perpendicular Bisector, the missing measures are:

  • VT = 8
  • RS = 17

<h3>What is a Perpendicular Bisector of a Segment?</h3>
  • A perpendicular bisector is a segment is a segment that divides a segment into two equal halves.
  • Perpendicular bisector forms right angles at the point of intersection of the segment it bisects.

Thus:

VT = RV = 8

VT = 8

Applying Pythagorean Theorem:

VS = √(ST² - VT²)

Substitute

VS = √(17² - 8²)

VS = 15

Find RS using the Pythagorean Theorem:

RS = √(VS² + VR²)

Substitute

RS = √(15² + 8²)

RS = 17

Therefore, applying the Pythagorean Theorem and the definition of Perpendicular Bisector, the missing measures are:

VT = 8

RS = 17

Learn more about perpendicular bisector here:

brainly.com/question/11006922

7 0
2 years ago
The current San Francisco cable railway is driven by two large 14-foot-diameter drive wheels, called sheaves. Because of the fig
Elis [28]
The length of an arc is given by (θ/360)2πr, where θ is the angle subtended by the arc at the center and r is the radius.
The angle θ in this case is 270°, while the radius is 7 feet, diameter is 14 feet
Thus the length of the of the cable will be;
=(270/360)× 22/7×14
= 0.75 × 44
= 33 feet

3 0
3 years ago
Read 2 more answers
Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths of the votes were for blue,
Mnenie [13.5K]

Answer:

Step-by-step explanation:

Let the total number of votes to choose a color = x

Number of votes for blue = \frac{5}{8}\times x

Remaining votes = x - \frac{5}{8}\times x

                            = \frac{8x-5x}{8}\times x

                            = \frac{3}{8}\times x

Votes for green = \frac{5}{9}\times (\text{Remaining votes})}

                          = \frac{5}{9}\times \frac{3x}{8}

                          = \frac{5}{24}\times x

Finally remaining votes = \frac{3x}{8}-\frac{5x}{24}

                                       = \frac{9x-5x}{24}

                                       = \frac{4x}{24}

                                       = \frac{x}{6}

Since these votes are for red therefore,

\frac{x}{6} = 48

x = 48×6

  = 288

a) Votes for blue are \frac{5x}{8}

Therefore, exact number for blue votes = \frac{5\times 288}{8}

= 5×36

= 180

b). Votes for green = \frac{5x}{24}

= \frac{5\times 288}{24}

= 60

c). Since 25 students were absent on that day of the vote, number of students at Riverside Elementary School = 288 + 25

= 313

d). Since seven tenths of the votes for blue were made by the girls.

Therefore, number of girls voted for blue = \frac{7}{10}\times 180

= 7×18

= 126

Since total votes made = 288

Therefore, half of the votes made = \frac{288}{2}

= 144

Now it's clear that number of votes made by girls is less than half of all the votes.

e). 126 girls voted for blue.

5 0
3 years ago
True or False: As long as you pay the minimum payment, you don't have to pay the rest of the bill off
Inga [223]
False. the minimum is just to hold off, it’s not forever. it will keep you in good condition, but not for the long run.
5 0
3 years ago
I need help with questions 1&amp;2
Lapatulllka [165]
1. B 5 feet
2. C 7 feet
4 0
4 years ago
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