Answer:
FG = 16
Step-by-step explanation:
if df bisects <edg then triangles DFE and DFG are similar AAA
since DF is the same in both triangles triangles DFE and DFG are congruent
therefore FE = FG
n+5 = 2n-6
subtract n from each side
n-n+5 = 2n-6-n
5 = n-6
add 6 to each side
5+6 = n
n=11
FG = 2n-6
=2*11 -6
= 22-6
= 16
Answer:
x=30, <A=60, <C=30
Step-by-step explanation:
A triangle always has its total angles added up to 180 degrees, so we can set up the following equation:
90+2x+x=180
90+3x=180
3x=90
x=30
Since x=30, this means <C is 30 degrees. For <A, it's twice as much as <C, so 2*30=60.
So x=30, <A=60, <C=30
Hope this helped!
Answer:
523.3 cubic inches
Step-by-step explanation:
A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?
The shape of a basketball is spherical.
Hence:
The volume of a basketball = 4/3 × π × r³
From the question,
π = 3.14
r = radius = Diameter/2
r = 10 in/2 = 5 in
Hence:
The volume of the basketball
= 4/3 × 3.14 × 5³
= 1570 ÷ 3
= 523.33333333 cubic inches
Therefore, the approximate volume of the basketball = 523.3 cubic inches
Sphere Surface Area = <span> 4 • <span>π <span>• r²
</span></span></span>
Sphere Surface Area =
<span>
<span>
<span>
1,809.5573684677
</span>
</span>
</span>
Answer:
398
Step-by-step explanation:
multiply 15 by 26 then add 8. check answer by dividing 398 by 26 using long division, not a calculator. you will get a decimal or fraction if you do