Please solve for M<PRQ

Mathematics

1 answer:

MakcuM [25]3 years ago

5 0

Answer:

$m\angle PRQ =49\degree$

Step-by-step explanation:

$m\angle PSQ = 360\degree - (128\degree + 134\degree )$

$m\angle PSQ = 360\degree - 262\degree$

$m\angle PSQ = 98\degree$

Now, by inscribed angle theorem:

$m\angle PRQ = \frac{1}{2} \times m\angle PSQ$

$m\angle PRQ = \frac{1}{2} \times 98\degree$

$m\angle PRQ =49\degree$

You might be interested in

List two sets of possible side lengths for two triangles, one set that forms a triangle and one set that does not.

Nataliya [291]

In any triangle, the sum of lengths of any two sides must be greater than the third side.

(1) If we chose three side lengths to be 5 cm, 7 cm and 10 cm. Let's do the check:
5+ 7 = 12 > 10
5+10 = 15 > 7
7 + 10 = 17 > 5
The sum of any two sides is greater than the third, therefore, these three side lengths can form a triangle.

(2) If we chose three side lengths to be 3 cm, 4 cm and 8 cm.Let's do the check:
3 + 4 = 7 which is not greater than 8
The condition is not fulfilled, therefore, these three side lengths cannot form a triangle.

6 0

3 years ago

A rectangular prism has the volume of 528 cubic

Olin [163]

Answer:

D. 6 feet

Step-by-step explanation:

The volume of a rectangular prism can be found by using L * W * H, or B * H

-> The length (L) times the width (W) is equal to the base (B)

V = B * H

528 = 88H

6 = H