I am pretty sure it is 69
According to the figure, I can safely assume that the 10 cm line and 15 cm line are parallel.
Thus, there are two similar triangles, one with the 10 cm bottom and 15 cm bottom, where one triangle is larger by a factor of 15/10 = 3/2
We know that the 8 cm line segment and y both join to create the side of the large triangle.
8cm + y = the side of the large triangle
Multiplying 8cm by 3/2 gives us 12, since we know the large triangle is 3/2 times larger than the smaller one.
8 + y = 12
y = 4 cm
Finding x is going to be a bit different. We know that the 6 cm line and x form the side of the larger triangle, which we know is 3/2 times larger than x.
x + 6cm = ?
The side of the larger triangle is 3/2x, thus
x + 6 = 3/2 x
Subtract both sides by x
6 = 1/2 x
Multiply both sides by 2
12 cm = x
Thus, y = 4 and x = 12.
Let me know if you need any clarifications, thanks!
Answer:
x=2
Step-by-step explanation:
Answer:
a=69
b=133
c=116
d=93
e=86
Step-by-step explanation:
<u>first start by finding angle a:</u>
angles in a triangle add up to 180 so we can simply do 180 - 40 - 71 = 69
<u>to find b:</u>
b is on a straight line so we can do 180 - 133 = 47
<u>to find d:</u>
d is part of the small triangle on the right of the diagram, we do not know one of the angles but because it is on a straight line we can do 180-140 = 40. Now to find d we can do 180 - 47 - 40 = 93
<u>to find e:</u>
i'm assuming the large triangle containing e is isosceles so we can do 180 - 2x47 = 86
therefore c is 116 as its the only answer left - hope this helps
