Question

WILL MARK BRAINLIEST the last two pics are for question two

Answer 1

Answer:

1. 702 square centimeters

2. m∠YWX = 63°

Step-by-step explanation:

1.

The total surface area is area of all the sides.

• There are 2 triangles (slanted side) with base 14 and height 11. Thus area would be  $2(\frac{1}{2}*14*11)=154$
• There are 2 triangles (another slanted side) with base 10 and height 12. Thus area would be  $2(\frac{1}{2}*10*12)=120$
• There are two rectangles with base 10 and height 6. Thus area would be  $2(10*6)=120$
• There are two rectangles with base 14 and height 6. Thus area would be  $2(14*6)=168$
• The bottom is a rectangle with area 10 * 14 = 140

Adding all these up  154 + 120 + 120 + 168 + 140 = 702 centimeters square.

2.

Angle WYX is equal to 46° (vertical angles are equal).

Now looking at triangle XWY, we know all three angles will add up to 180°. Given x =71° and Y = 46°, we can figure out W (Angle YWX)

71 + 46 + Angle YWX = 180

Angle YWX = 180 - 71 - 46 = 63°

Second answer choice is correct.