Answer:
B
Step-by-step explanation:
Given
(x - 5)²
= (x - 5)(x - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 5) - 5(x - 5) ← distribute both parenthesis
= x² - 5x - 5x + 25 ← collect like terms
= x² - 10x + 25 → B
Answer: x = 67.5 ft
Explanation:
Following the statements you can draw the triangles mnp and mab.
1) Both are similar triangles with the common vertex m, and with these corresponding sides:
- segment mn corresponding to ma
- segment np corresponding np
- segment mp corresponding mb
2) So, by side-angle-side theorem
segment ma segment mb
------------------ = ---------------------
segment mn segment mp
3) You know:
- segment mn = 71.5
- segment ma = 71.5 - 22 = 49.5
- segment mb = x
- segment mp = 97.5
4) Therefore:
x 49.5
--------- = ----------
97.5 71.5
5) Solve for x:
x = 97.5 * 49.5 / 71.5 = 67.5
Answer: x = 67.5 ft.
Answer:
y = 5/4x -7
Step-by-step explanation:
y = mx + b
parallel line has same slope: 5/4
y = 5/4x + b
(4 , -2) -2 = 5/4 x 4 + b
b = -7
Formula: y = 5/4x -7
Answer:
(a) The two triangles are similar by AA
Step-by-step explanation:
Similar triangles have congruent corresponding angles and proportional corresponding side lengths.
<h3>Third angle</h3>
The third angle in triangle ABC is found using the fact that the sum of angles is 180°.
∠C = 180° -∠A -∠B
∠C = 180° -97° -46° = 37°
Two of the angles, A and C, match the measures of two of the angles in triangle DEF. The matches are ...
∠A = ∠D = 97°
∠C = ∠F = 37°
The two triangles are similar by AA.
__
<em>Additional comment</em>
The similarity statement can be ΔABC ~ ΔDEF.
Answer:
In the triangle shown, AB = 11, BC = 61. Find AC. Right Triangle ABC v2. 3,600; 3,842; 60; 62. 4. Using the following measurements, find the length of the leg of the right triangle. leg = 5
Step-by-step explanation:
Not sure if that's helpful, but hope it is.
