Answer:






Step-by-step explanation:
step 1
Find the value of x
we know that
----> by alternate interior angles
solve for x
Group terms


step 2
Find the measure of angle a
we know that
----> by vertical angles
substitute the value of x

step 3
Find the measure of angle b
we know that
----> by supplementary angles (form a linear pair)
we have

substitute


step 4
Find the measure of angle c
we know that
----> by vertical angles
we have

therefore

step 5
Find the measure of angle d
we know that
----> by corresponding angles
we have

therefore

step 6
Find the measure of angle e
we know that
----> by alternate exterior angles
we have

therefore

step 7
Find the measure of angle f
we know that
----> by vertical angles
we have

therefore

Answer:
x = 2
Step-by-step explanation:
2(5x + 7) = 34
10x + 14 = 34
10x = 34 - 14
10x = 20
x = 20/10
x = 2
Answer:
Step-by-step explanation:
1. exponential because as the values increase by 1, the y values are multiplied by a factor of 1/2.
2. exponential growth because as the time increase by 20 minutes, the cell amount multiplies by 2.
Answer:
Step-by-step explanation:
3(0.3x + 1.3) = 2(0.4x - 0.85)
0.9x + 3.9 = 0.8x - 1.70
0.9x - 0.8x = - 1.70 - 3.9
0.1x = - 5.6
x = - 5.6 / 0.1
x = - 56
There is a difference of 123 square inches between the pizza box and the pizza.
18x18=324
pi8^2=201.0619
324-201=123