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bezimeni [28]
3 years ago
12

Please help, if you know how to do proofs in Geometry !

Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0

Step-by-step explanation:

1. T is the midpoint of QR, U is the midpoint of QS, and V is the midpoint of RS.

This is the information given in the problem statement.

2. TU, UV, and VT are midsegments

Midsegments connect midpoints of opposite sides.  So TU, UV, and VT are midsegments.

3. TU = ½ RS, UV = ½ QR, and VT = ½ SQ

By Triangle Midsegment Theorem, a midsegment connecting the midpoints of two sides of a triangle is half the length of the third side.

4. TU/RS = 1/2, UV/QR = 1/2, VT/SQ = 1/2

Division property

5. TU/RS = UV/QR = VT/SQ

Transitive property

6. ΔQRS ~ ΔVUT

Since we've shown that the corresponding sides of these triangles are proportional, then by Converse of Similar Triangles Theorem, the triangles must be similar.

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Effectus [21]

Answer:

The answer is B

Step-by-step explanation:

5 0
2 years ago
What is 26.50 rounded to the nearest hundredth
Pavlova-9 [17]
Well,

26.50

In this case, the hundredths place is the 0.

Since there are no more digits after that, 26.50 must already be rounded to the nearest hundredth.

26.50 is the final answer.
6 0
3 years ago
You toss a pair of dice. (a determine the number of possible pairs of outcomes. you toss a pair of dice. (a determine the number
Eduardwww [97]
(a) ^{6}C_1 * ^{6}C_1 = 36 different possibilities
(b) P(even die 1): \frac{1}{2}
P(even die 2): \frac{1}{2}

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3 0
2 years ago
A movie theater decreased the size of its popcorn bags by 20%. If the old bags held 15 cups of popcorn, how much do the new bags
vovikov84 [41]

Answer:

<em>Your answer will be </em>12<em> cups of popcorn.</em>

Step-by-step explanation:

To find out how much the new bags hold, you need to find out the discount.

\frac{20}{100 } = .2

15 * .2 = 3

<em>We know that the discount is </em>3<em>.</em>

<em>To figure out how much the new bags hold, subtract by the old bags.</em>

15 - 3 = 12

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7 0
2 years ago
If cos(2/3x+20)°=sin(2x−10)°, find the acute angles of the corresponding right triangle.
adell [148]

Answer:

A = 40°

B = 50°

Step-by-step explanation:

If cos A = sin B, then A + B = 90

So, 2x/3 + 20  + 2x - 10 = 90

      2x + 60 + 6x - 30 = 270

               8x + 30 = 270

                       8x = 240

                          x = 30

2x/3 + 20 = 60/3 + 20 = 20 + 20 = 40

2x - 10 = 2(30) - 10 = 60 - 10 = 50  or  90 - 40 = 50

       

7 0
3 years ago
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