Answer:
16.58 feet
Step-by-step explanation:
a² + b² = c²
Think of this as a right triangle
The hypotenuse is 30, and one of the legs is 25
To find the other leg, subtract the square of the hypotenuse by the square of the given leg
30² - 25² = leg
900 - 625 = 275
Square root the answer to find the length of the missing leg
√275 = 16.583123951777
The leg is 16.58 ft.
Answer:
8 square units and 
square units
Step-by-step explanation:
The area of the triangle ABC is 24 square units.
1. Triangles ABC and FBG are similar with scale factor 
then
2. Triangles ABC and DBE are similar with scale factor 
then
3. Thus, the area of the quadrilateral DFGE is
and the area of the quadrilateral ADEC is
Answer:
f(3)=21
Step-by-step explanation:
f(1)=3
f(n)=2f(n-1)+3
n=2
f(2)=2f(2-1)+3
f(2)=2f(1)+3
f(2)=2*3+3
f(2)=6+3
f(2)=9
n=3
f(3)=2f(3-1)+3
f(3)=2f(2)+3
f(3)=2*9+3
f(3)=18+3
f(3)=21
Answer:
x = 67; y = 40
Step-by-step explanation:
You are correct with y. Angles y + 23 and 63 are vertical, so they are congruent. That gives you y + 23 = 63, which gives y = 40.
To find x, look at angles 2x - 17 and 63.
They are adjacent angles whose outside rays lie on a line. Angles like these are called a linear pair, and they are supplementary. That means their measures add up to 180 deg.
2x - 17 + 63 = 180
2x + 46 = 180
2x = 134
x = 67
Answer: 74
Step-by-step explanation:
Substitute x=6 into the expression
(x+4) . 2^3 -6
Add the numbers
(6+4) . 2^3- 6
10 x 2^3 -6
Evaluate the power
10 x 2^3 -6
10 x 8-6
Multiply the numbers
10 x 8-6
80-6
Subtract the numbers
80-6
74
