ANSWER: tr(325) - tr(321) = 4rt
Answer:
Vertex B to vertex Y
Step-by-step explanation:
The diagram shows two triangles ABC and XYZ. These triangles are congruent by SAS postulate, because
- AB = XY = 25 cm;
- AC = XZ = 29 cm;
- ∠A = ∠X = 36°.
Congruent triangles have congruent corresponding sides and angles, so translation and rotation must be completed such that
- vertex A coincides with vertex X;
- vertex B coincides with vertex Y;
- vertex C coincides with vertex Z.
So, first, translate vertex B to vertex Y. Next, rotate ΔABC about B to align the sides and angles.
Answer:
127.5
Step-by-step explanation:
(2x+7)+(6x-9)=180
2x+6x+7-9 = 180
8x-2=180
8x=182
x=22.75
6x-9=
6(22.75)-9=
136.5-9=
127.5 Answer
Answer:
15/2 in³
Step-by-step explanation:
The formula for the vol. of a pyramid
is
V = (1/3)(area of base)(height of pyramid)
Here, the volume is:
V = (1/3)( [1/2][5 in][9 in] )·(10 in)
= (9/3)(5/2)(10) in³
= 450/6 in³ = 150/2 in³ = 75 in³ Volume of the pyramid
Step-by-step explanation:
y = 5x - 4
When x = 0, y = 5(0) - 4 = -4.
When x = 1, y = 5(1) - 4 = 1.
When x = 2, y = 5(2) - 4 = 6.
The 3 ordered pairs we have are (0,-4), (1,1) and (2,6).
We now check the point (-5,-29):
(-29) : 5(-5) - 4
-29 : -25 - 4
-29 : -29 => -29 = -29.
Since Left hand side = Right hand side, the point (-5,-29) is a solution.
