a) second and last one : 32x - 24 and 8*4x - 8*3
b) first and third one : 22y and 7y + 15y
pls mark brainliest!!
Assuming the vertex of the triangle shown is the center of the pentagon, and the line segment shown is an altitude of the triangle:
If we join the center of (the circumscribed circle and of) the pentagon to the 5 vertices, 5 isosceles triangles are formed, all congruent to the one shown in the figure. It is clear that these triangles are congruent, so to find the area of the pentagon, we find the area of one of these triangles and multiply by 5.
The base of the triangle is 22.3 in, and the height is 15.4 ins, thus the area of the pentagon is:
5(Area triangle)=5*[(22.3*15.4)/2]=<span>858.55 (square inches).
Answer: </span>858.55 (square inches).
Answer:
B: 2⁷-1 = 127
Step-by-step explanation:
A Mersenne prime is a prime of the form 2^n -1, where n is also a prime.
Among the answer choices, neither 90=2·3²·5 nor 15=3·5 is prime. Both 2⁷-1 = 127 and 2¹¹-1 = 2047 are of the right form, but 2047 = 23·89 is a composite number.
2⁷-1 = 127 is a Mersenne prime
Answer: 28 years
Step-by-step explanation:
Given
The equation showing the value of the bag after x years is 
If the price of the bag increased by 2.5%, from the equation, we can deduce that
Initial cost of the bag is 25
Double of the initial value is 50
Insert it in the equation

It will take 28 years
Answer:
5 inches
Step-by-step explanation:
we know that
The scale drawing is

using proportion find out the width of the great room on her plan
