Answer:
1) Congruent
2) Alternate exterior angles
3) 15x = 12x + 15
4) x = 5
Hope this helps!
Answer:
The correct option is A
Step-by-step explanation:
Lets suppose that the third side is hypotenuse.
We will apply Pythagorean theorem:
c²= a²+b²
where,
a=12 inches
b=15 inches
Now substitute the values in the theorem:
c²=(12)²+(15)²
c²=144+225
c²=369
Take square root on both sides:
√c²=√369
c= 19.2 inches.
Now assume that the third side is a leg:
Here we will find the value of b.
a=12 inches
c= 15 inches.
b= ?
Now substitute the values in the theorem:
c²=a²+b²
(15)²=(12)²+b²
225=144+b²
Move the constant to the L.H.S
225-144=b²
81=b²
Take square root on both sides:
√81=√b²
9=b
Now we will find the difference of the third sides:
19.2-9 = 10.2
Thus the length of the third side is 10.2 inches
The correct option is A....
Answer:
A C(x) =2x³+2x²-18x-11
Step-by-step explanation:
C(x) = W(x) - D(x)
plug W(x) and D(x) into equation
C(x) = 3x³+4x²-18x+4 - (x³+2x²+15)
add like terms now
C(x) =2x³+2x²-18x-11
Less than because 2.15 is a tenth greater.
Answer:
Circumference = 157 ft
Area = 1962.5 ft^2
Step-by-step explanation:
d = 50
C = pi *d
C = 3.14 * 50
C =157 ft
This is the circumference
The area is found by
A = pi r^2
r =d/2
r= 50/2 =25
A =pi (25)^2
A = 3.14 *25^2
=3.14 *625
=1962.5 ft^2