Answer:
-83
Step-by-step explanation:
x+(x+1)=number
x+(x+1)=-165
2x+1=-165
-1 -1
2x=-166
/2 /2
x=-83
We can check our work by adding -83+-82=-165 because -83 would be the smaller number.
-83.
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°
One number is 4 times the other, so x and 4x.
The sum of two numbers is 4x+x=70.
Solve for x to get
x=70/5=14
the other number is 4x=4*14=56
Answer:
-2/3x
Step-by-step explanation:
To find the slope, you would do rise/run.
To get to one point to the other, you move 2 units down and 3 to the right.
Hope this helps!
