Answer:
x=26
Step-by-step explanation:
exterior angles theorem meaning they're equal to each other.
5x+7=8x-71
add 71 to 7
5x+78=8x
subtract 5x from 8x
78=3x
divide 78 and 3
x=26
to check your work plug 26 into each equation:
5(26)+7= 137°
8(26)-71= 137°
because they're the same you know that x must equal 26
hope this helps!❤
Answer: 22
Step-by-step explanation:
Perpendicular lines have gradients that multiply to give -1
So, the gradient of the line we need is -1/0.2 = -5
If we have the gradient and a point in the line, we can work out the equation using the formula:
y - y1 = m(x - x1)
where m = gradient, y1 = y-coordinate and x1 = x-coordinate of the same point
So, we substitute in our values, and we get:
y - -8 = -5(x - -7)
y+8 = -5x-35
y = -5x-43
Hope I helped! xx
1. -7<-4
2. -4>-7
Step-by-step explanation:
-4 is greater than -7, because -4 is a small negative number, and is closer to 0.
Answer:
Scale factor = 
Step-by-step explanation:
Perimeter of the actual flag = 22 in.
Perimeter of the scale drawing of the flag = 11 in.
Since, perimeter of a triangle = Sum of all three sides of the given triangle
Therefore, scale factor of the drawing
= 
= 
= 
=
Therefore, scale factor of the drawing will be .
Each side of the scaled triangle will be half of the actual triangle.
