x = 9
Hope this helps you :)
Answer:
x || t, [Given]
[Given] ......[1]
Transversal defined as a line that cuts across two or more Parallel lines.
When two parallel lines are cut by a transversal, then the pairs of corresponding angles are equal in measure.
[Corresponding Angle theorem] ......[2]
Substitute value [1] in [2] we have;
[Substitution Property]
When two lines are cut by a transversal and the alternate exterior angles are equal in measure, then the lines are parallel.
k || w [ By Alternative Exterior Angle Theorem] Hence proved!
Answer: B) 18.2 inches
Step-by-step explanation:
We know that the circumference of a circle is given by :-

Given : Diameter of a circle = 5.8 inches
Then, the circumference of the circle will be :-

Hence, the circumference of the circle = 18.2 inches
Answer:
F=25
Step-by-step explanation:
10x+15=30x-5
15=20x-5
20=20x
1=x
30(1)-5
30-5
25
Answer:
Michelle's age = 16
Step-by-step explanation:
As we know,
Amount =
where
P = Principal amount
r = rate of interest
t = time
Given ,
P = $1000
r = 4.5 % = 
Now,
Given that Amount reaches more than $2000
⇒
> 2000
⇒
> 2000
⇒
> 2
Now,
we put the value of t from 0 , 1, 2, ..... untill the above equation does not satisfy
Now,
for t = 0
for t = 1
for t = 2
for t = 3
for t = 4
for t = 5
for t = 6
for t = 7
for t = 8
for t = 9
for t = 10

for t = 11
for t = 12

for t = 13

for t = 14
for t = 15
for t = 16
It satisfies at t= 16
∴ we get
Michelle's age = 16