Answer:
-4.33333333333
Step-by-step explanation:
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:
Height = 8 units
Step-by-step explanation:
Area of a triangle = 
square units
= 
square units
Height of the triangle = 
units
= 
units
Formula to calculate the area of a triangle is,
Area = 
Height = 
= 
= 8 units
Therefore, height of the given triangle is 8 units.
Answer:
Step-by-step explanation:
f(-3)= -(-3)^2+6= -9 + 6 = -3
Step-by-step explanation:
m=-2
y+5=2(x-6)
y+5=2x-12
y=2x-17
