Answer:
x=16
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(8+24) * 8 = x^2
32*8 = x^2
256 =x^2
Take the square root of each side
sqrt(256) = sqrt(x^2)
16 = x
<h3>Solution(s):</h3>
<u>1)</u><u> What distance did a car travel that went 70 mph for 6 hours?</u>
Given:
<u>Multiply the RHS by 6 to see what distance was covered by the car in 6 hours.</u>
- 70 miles = 1 hour
- => 70 x 6 miles = 6 hours
- => 420 miles = 6 hours
The car traveled 420 miles in 6 hours.
<u>2)</u><u> What is the perimeter of a rectangle with a length of 7 cm and a width of 4 cm?</u>
Given:
- Length: 7 cm
- Breadth: 4 cm
Formula to find perimeter: 2(L) + 2(B)
<u>Substitute the values into the formula to find the perimeter.</u>
- 2(L) + 2(B)
- => 2(7) + 2(4)
- => 14 + 8
- => 22 cm
The perimeter of the rectangle is 22 cm.
We can have different variables to represent each brother (there can be different variations and ways to solve, but I'll do it my way).
Matt=m
Jeff=3m
Todd=m+25
Matt Jeff Todd
m+3m+(m+25)=275 3(50) 50+25
5m+25=275 =150 =75
5m=250
m=50
Matt spent $50, Jeff spent $150 and Todd spent $75
Check:
50+150+75
=$225
2=10
3 =15
7=35
1=5
Constant of 1 is 5
Before answering, keep in mind that parallel lines have equal slopes and perpendicular lines have negative reciprocal slopes. Each problem has you find the slope and then use that rule.
For line F, 
Let x
= 7, x
= 9, y
= 13, y
= -3
m = 8
For line E, the calculations are similar and the slope is 3/5. The perpendicular line would have m = -5/3.
