Answer:
the slope of the line is 4
m = 4
y-intercept is -8
y = 4(0) - 8 = 0 - 8 = -8
X = measure of angle 1
y = measure of angle 2
z = measure of angle 3
w = measure of angle 4
Focus on the bottom triangle. The three angles add to 180 degrees
(angle 2) + (angle 3) + 116 = 180
y+z+116 = 180
y+z= 180-116
y+z= 64
Since we have the bottom triangle as isosceles, this means that y = z, so
y+z = 64
y+y = 64
2y = 64
y = 64/2
y = 32
making z = 32 as well
Similarly, angle 1 and angle 4 are 32 degrees because the 116 angle is opposite the top left-most angle, and congruent to this angle. In other words, the bottom triangle is a mirror image of the top triangle.
The figure is a rhombus because all four sides are the same length (as shown by the tickmarks)
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Answer:
This figure is a rhombus
All four angles (angle 1 through angle 4) are the same measure. They are each 32 degrees
Answer:
21.2
Step-by-step explanation:
Answer:
Adults: 75, girls: 100, Boys: 75
Step-by-step explanation:
2/5 x 250 = 100( girls)
3/10 x 250 = 75 (boys)
250 - (100 + 75) = 250 - 175 = 75 (Adults)
Answer:
Number of large boxes: 55
Number of small boxes:65
Step-by-step explanation:
Let be "l" the number of large boxes and "s" the number of small boxes.
Set up a system of equations:
Use the methof of elimination. Mulitply the first equation by -60 and add both equations. Then solve for "s":
Substitute s=65 into any of the original equations and solve for "l":
