Let the smallest angle = x
Then the larger one = 71x
Supplementary angles are always equal to 180o
x + 71x = 180o Add the left side
72x = 180 Divide by 72
x = 180/72
x = 2.5
The smallest angle = 2.5 degrees
The largest angle = 2.5 * 71
The largest angle= 177.5 degrees.
Answer:
∠DFE ≅ ∠DFG
Step-by-step explanation:
we know that
Triangles are congruent by SAS, if any pair of corresponding sides and their included angles are equal in both triangles
In this problem we have that
The pair of corresponding sides that are equal are
EF=GF and DF (is the same side for both triangles)
The included angle are ∠DFE and ∠DFG
therefore
The additional information needed to prove that triangles DEF and DGF are congruent by SAS is that angles ∠DFE and ∠DFG are equal
so
∠DFE ≅ ∠DFG
Answer:
B
Step-by-step explanation:
GI is made up of the segments GH and HI. In other words:
We know that GH is 2 and GI is 7. Substitute:
Subtract 2 from both sides:
So, our answer is B.
And we're done!
Percent means parts out of 100 so
22%=22/100=0.22
'of' means multiply
'is' means =
36 is 22% of what
36=0.22 times what
divide both sides by 0.22
163.636363=what
the number is163.636363....
Answer:
d = 17.5499287748 inches or 17.5 inches to 1 decimal place
Step-by-step explanation:
find the diagonal line passing through the middle of the bottom rectangle:
a² + b² = c²
10² + 8² = c²
100 + 64 = 164
c² = 164
c = √164
c = 12.8062484729
find d:
a² + b² = c²
12² + 12.80624847298² = c²
144+ 164 = 308
c² = 308
c = √308
c = 17.5499287748
therefore d = 17.5499287748 inches or 17.5 inches to 1 decimal place
