Answer:
I apologize if this was poorly explained. The explanation for each is below the angle.
Since these triangles are in a rectangle, The top and bottom triangles are congruent, and the left and right triangles are congruent. All 4 triangles are also Isosceles. (Two equal sides/angles)
m<1= 59
(Left and right triangles are congruent)
m<2=31
(Top and bottom triangles are congruent)
m<3= 59
(Directly across from the other 59)
m<4=31
(Each of the rectangles corner angles totals to 90 degrees, therefore making this angle 31 degrees.)
m<5=31
(Since the triangles are isosceles, this angle is also 31)
m<6= 59
(Since m<5 is 31, this angle is 59.)
m<7=118
{(Two other angles in the triangle) 31+31= 62 180-62= 118)}
m<8=62
{(Two other angles in the triangle)59+59= 118. 180-118= 62}
m<9=62
(This angle and m<8 are congruent.)
m<10=118
(This angle and m<7 are congruent.)
m<11=31
(Same reason as m<4)
I hope this helps!
Answer:
(21, 28)
Step-by-step explanation:
Multiply coordinates by 7.
Answer:
y=2x-46
Step-by-step explanation:
Select any two coordinate points. I'm picking (1,-44) and (2, -42).
x1 and y1 are the first coordinates. x2 and y2 are the second coordinates. The formula for finding the slope of a linear fuction is (y2-y1)/(x2-x1). Substiute the numbers into this formula:
-42-(-44)/2-1
=-42+44/1
=2
This is the slope. In y=mx+b, plug in your newly found slope. Next, to find the y-intercept, plug any pair of coordinate points into your incomplete formula y=2x+b. I'm going to use (1,-44) again.
-44=2(1)+b
-44=2+b
b=-46
Now, plug this into your formula, and you'll get y=2x-46.
Explanation in image provided below.
A. 4^2
b. 5^4
c. 3 x 7^4
d. 2^2 x 9^4
