Answer:
Rachel is correct
Step-by-step explanation:
We can calculate angle T by using cosine rule where;
t² = r² + m² - 2rm cos T
From the diagram, we see that;
t = 30
r = 18
m = 24
Thus;
30² = 18² + 24² - 2(18 × 24)cosT
900 = 324 + 576 - 864cosT
864cosT = 900 - 324 - 576
864cosT = 0
cosT = 0/864
T = cos^(-1) 0
T = 90°
-5 < a - 4 < 2
solving for a
a - 4 > - 5
a > -1 and
a - 4 < 2
a < 6
So the correct solution set is the third one.
Answer:
x = 44, y = 37
Step-by-step explanation:
∠1 and ∠ 4 are adjacent angles and are supplementary, thus
3x + 4 + x = 180
4x + 4 = 180 ( subtract 4 from both sides )
4x = 176 ( divide both sides by 4 )
x = 44
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∠ 1 and ∠ 3 are vertical angles and congruent, thus
4y - 12 = 3x + 4 = 3(44) + 4 = 132 + 4 = 136 ( add 12 to both sides )
4y = 148 ( divide both sides by 4 )
y = 37
The answer would be circle, if you used a circle, it would be a cone, not a pyramid