A = 180 - 143 = 37
b = 143
c = a = 37
e = a = 37
f = 90 - 37 = 53
d = 180 - 85 - 37 = 58
g = 48
h = 180 -48 -48 = 84
k = 180 -84 = 96
m = 180 - 58 - 96 = 26
p = 180 - 26 - 85 = 69
r = 180 -69 = 111
s = p = 69
Answer:
See Below.
Step-by-step explanation:
We are given that ΔAPB and ΔAQC are equilateral triangles.
And we want to prove that PC = BQ.
Since ΔAPB and ΔAQC are equilateral triangles, this means that:

Likewise:

Since they all measure 60°.
Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

Likewise:

Since ∠QAC ≅ ∠PAB:

And by substitution:

Thus:

Then by SAS Congruence:

And by CPCTC:

Answer:
The solutions to the equation are
and 
Step-by-step explanation:
The factors of the quadratic function g(x) are (5x – 1) and (x + 4).
This means that:


So



And


The solutions to the equation are
and 
Answer:
Kerry bought a conical tent to put on the back porch. The tent instructions reveal the height at the tallest point to be 4.5 feet and the space inside to be 10.5 cubic feet. About how many square feet of the back porch will be covered by the tent?
Which measure of the cone needs to be calculated to answer the problem?
Base Area
Which equation represents the scenario?
10.5=(1/3)B(4.5)
How many square feet of the back porch will the tent cover?
7 square feet
Step-by-step explanation:
Answer:
800÷2=400
Step-by-step explanation:
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