Answer:
The measure of the angle JKG is:
m∠JKG = 56°
Step-by-step explanation:
<u>Given</u>
m∠JKG = 76-2x
m∠FHK = 6x-4
J is a midpoint of the segment FG and K is a midpoint of the segment GH.
<u>To determine</u>
m∠JKG = ?
Given that J is a midpoint of the segment FG and K is a midpoint of the segment GH. Thus, making two similar triangles, ΔJGK and ΔFGH
We know that two triangles are similar if the only difference is size. So, the angles remain the same.
so m∠JKG and m∠FHK are equal.
i.e.
m∠JKG = m∠FHK
substitute m∠JKG = 76-2x and m∠FHK = 6x-4
76-2x = 6x-4
6x+2x = 76 + 4
8x = 80
divide both sides by 8
8x/8 = 80/8
x = 10
Therefore, the value of x = 10
As
m∠JKG = 76-2x
substitute x = 10
m∠JKG = 76 - 2(10)
= 76 - 20
= 56°
Therefore, measure of the angle JKG is:
m∠JKG = 56°
Answer:

Step-by-step explanation:
we know that
The Pythagorean Theorem states that in a right triangle

where
c is the greater side (the hypotenuse)
a and b are the legs
In this problem
Let
c=AB ---> distance from point A to point B
a ---> the difference of the x-coordinates both points
b ---> the difference of the y-coordinates both points
so

substitute




Answer:
-9/7
Step-by-step explanation:
To find the slope given 2 points, we use the formula
m = (y2-y1)/(x2-x1)
where (x1,y2) and (x2,y2) are the two points
m = (-3-6)/(5--2)
m = (-3-6)/(5+2)
= -9/7
9.35
= 9.00 + 0.35
= 9 + 7/20
= 180/20 + 7/20
= 187/20
Jen has 6 crayons
Lisa has 3 crayons
Max has = lisa +1 = 4 crayons
Jen + Lisa + Max = 6+3+4 = 13 crayons
Answer: 13 crayons