Perpendicular bisector theorem
5 feet is 5*12=60 inches. Therefore, our ratio is 28:60. Dividing both terms by 4, we see that the most simple ratio is 7:15.
Answer:
y – 3 = 2(x – 10)
Step-by-step explanation:
In point-slope form, the equation is written ...
y -k = m(x -h) . . . . . . . for line with slope m through point (h, k)
If only the slope changes, only the value just outside parentheses changes. When the point is (10, 3) and the new slope is 2, the new equation is ...
y -3 = 2(x -10)
9514 1404 393
Answer:
x = 8.2
Step-by-step explanation:
As indicated on the supplied diagram, the measure of arc GH is ...
GH = 360° -83° -115° = 162°
The inscribed angle at F is half this measure, so we have ...
(10x -1)° = 162°/2
10x = 82 . . . . . . . . add 1 and simplify
x = 8.2 . . . . . . . . . divide by 10
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>

Plug the equation
into the above equation

Subtract both sides by 7

Divide both sides by 3 to isolate x

Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>

Plug in x as 12

Subtract both sides by 12 to isolate y

Therefore, the greater number equates to 31.
I hope this helps!