Answer:
x = 17, MN = 11
Step-by-step explanation:
Given 2 secants from an external point to a circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.
(5)
7(7 + x) = 8(8 + 13) = 8 × 21 = 168 ( divide both sides by 7 )
7 + x = 24 ( subtract 7 from both sides )
x = 17
(6)
9(9 + 2x - 7) = 10(10 + 8)
9(2x + 2) = 10 × 18 = 180 ( divide both sides by 9 )
2x + 2 = 20 ( subtract 2 from both sides )
2x = 18 ( divide both sides by 2 )
x = 9
Then
MN = 2x - 7 = 2(9) - 7 = 18 - 7 = 11
Answer:
p= 50
Step-by-step explanation:
the angle that measures 130 is supplementary to the angle below, meaning the other angle must equal 50 degrees. This angle is an alternate interior angle with angle p, making them congruent.
Answer:
Step-by-step explanation:
The diagram for the question is attached below
perimeter of the triangle is 28 feet
area of a square is 144 feet
Area of the square is side^2
take square root on both sides
side = 12
side of the square = 12
side is the diameter of the semicircle
Diameter = 12 , so radius = 12 divide 2 = 6
circumference of semicircle = 
one side of the rectangle is calculated in the perimeter of triangle and other side is calculated using circumference
perimeter of other two side = 2(12)= 24
Total perimeter = 
Option C
The football team had a overall loss of 2 yards
<em><u>Solution:</u></em>
When the team gains yards we use a positive value, and when the team loses yards we use a negative value.
<em><u>Given that, football team gains 2 yards on the first play</u></em>
First play = +2
<em><u>Given that football team loses 5 yards on the second play</u></em>
Second play = -5
<em><u>Given that football team loses 3 yards on the third play</u></em>
Third play = -3
<em><u>Given that football team gains 4 yards on the fourth play</u></em>
Fourth play = +4
Put the yards from four plays together, we get
⇒ 2 -5 -3 + 4
Let us simplify
⇒ -3 -3 + 4 = -6 + 4 = -2
So, -2 represents loss of two yards (since negative value indicates loss)
6.75 is the answer to your question
