1. -9/2, 9/2
2. 3-4(squared)2/4, 3+4(squared)2
3. -3(squared)2, 3(squared)2
750 I believe multiply the digits all together
Answer:
<h2>D. 18</h2>
Step-by-step explanation:
We know:
1. Diagonals of a rhombus are perpendicular.
2. Diagonals divide the rhombus on four congruent right triangles.
3. The sum of measures of acute angles in a right triangle is equal 90°.
Angles CAD and ACB are alternate angles. Therefore they are congruent:
m∠DAC = m∠ACB ⇒ m∠ACB = x°.
From 3. we have the equation:
(5x - 18) + x = 90
(5x + x) - 18 = 90 <em>add 18 to both sides</em>
6x = 108 <em>divide both sides by 6</em>
x = 18
Answer:
<u>The triangular prism shown has 2 triangular faces and 3 lateral faces.</u>
- The triangles are on the ends, and there are three rectangular faces, which are the "lateral" faces because they're not bases.
<u>The area of one triangular face is 7.5 square millimeters.</u>
- Area of triangle = 1/2 b*h = 1/2* 6*2.5 = 1/2*15 = <u>7.5 square millimeters</u>
<u>The surface area of the triangular prism is 135 square millimeters.</u>
- Lateral face area = the sum of the three lateral faces. = 8*6.5 + 8*2.5 + 6*8 = 120 square millimeters
- Surface area = 2(triangle area) + sum of lateral faces = 2(7.5) + 120 = <u>135 square millimeters</u>