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andrew11 [14]
2 years ago
13

In ΔOPQ, m∠O = 107° and m∠P = 28°. Which statement about the sides of ΔOPQ must be true?

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
3 0

Answer:

QO < OP < QP

Step-by-step explanation:

The third angle, angle Q, must measure 45° since angles in a triangle add to 180°.

So, OQ < OP < QP.

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Yakvenalex [24]
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4 0
4 years ago
The length of each edge of a cube is decreased by 40 percent By what percent does the volume of the cube decrease? Express your
lora16 [44]

Answer:

78% (to the nearest tenth)

Step-by-step explanation:

Volume of a cube = (length )³

Let the length of the cube = y

Original volume = y³

if the length is decreased by 40%, then new length = 1- (40% of y)

                                                                                     = 1-0.4y

                                                                                     =  0.6%

New volume (after decreasing the length) = (0.6y)³

                                                                      =  0.216‬‬y³

% Volume decrease = (Original volume - New volume)/Original Volume x 100%

                                 =  (y³ - 0.216‬‬y³)/ y³  x 100%

                                 = 0.784y³/y³  x 100%

                                 =78.4%

                                ≈78%

5 0
4 years ago
Read 2 more answers
Malcolm buys a 5/6 pound of black beans and a 3/4 pound bag of pinto beans. How many pounds of beans does Malcolm buy in all?​
artcher [175]

Answer:

1 7/12

Step-by-step explanation:

5/6+3/4=10/12+9/12 = 19/12 or 1 7/12

4 0
3 years ago
Which is bigger? four liters or one gallon?
hjlf
4 liters is slightly bigger
5 0
3 years ago
Which of the following is another name for a proof by contradiction?
andrew-mc [135]

Answer:

C. Indirect Proof

Step-by-step explanation:

There are two methods of indirect proof: proof of the contrapositive and proof by contradiction.

3 0
3 years ago
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