Question

Help, Pls?I got 98 for first and 31 for second(ik i'm probably wrong-_-)

Answer 1

Answer:

9. 149°

10. 2

Step-by-step explanation:

Congruent figures have the same angles and lengths

x = 180 - 17 - 14

x = 149°

Similar figures have sides in the same ratio

1/8 = x/16

x = 16/8

x = 2

Answer 2

Answer:

9. 149 degrees

10. 2 units

Step-by-step explanation:

9. These two triangles are congruent, which means their corresponding side lengths and angles are are equal.

Here, the angle on the bottom triangle marked x actually corresponds to the angle in the top triangle that is unlabelled. That means if we find the unlabelled angle in the top triangle, we've found x.

All angles of a triangle add up to 180, so we can write: x + 17 + 14 = 180

Solve for x: x = 180 - 17 - 14 = 149 degrees

10. Similar triangles have their corresponding angles the same and their corresponding sides in the same ratio, not the same length this time.

Notice that RP is the long leg of triangle PQR and that AC is the long leg of triangle ABC, which means that they correspond to each other and we can write the ratio: RP / AC = 16 / x.

Notice that QP is the short leg of triangle PQR and that AB is the short leg of triangle ABC, which means that they correspond to each other and we can write the ratio: QP / AB = 8 / 1.

Now we can set these two ratios equal and solve for x:

16/x = 8/1

8x = 16

x = 2 units