Answer:
183.20
Step-by-step explanation:
9.95x16=159.20
159.20+24=183.20
Set up a proportion. take 3/6 = 20/x
Cross multiply 3 * x = 6 * 20
Simplify 3x = 120
Divide by 3 x = 40
So the denominator of the bottom fraction is 40
Answer:
3
Step-by-step explanation:
Rewrite the logarithmic notation to index notation.
4^x=64
Change 64 to index notation
ie 64 = 4^3
Since the base is the same(4) cancel them out
You remain with x = 3
Answer:
2 yards 5 inches will be equivalent to 77 inches
Step-by-step explanation:
Given length -
2 yards 5 inches
One yard has 36 inches
Two yards will have 2*36 = 72 inches
Thus, 2 yards 5 inches will sum up to 72 inches + 5 inches = 77 inches
Hence, 2 yards 5 inches will be equivalent to 77 inches
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:
