Because these triangles are congruent, then angle a is the same degree measure as angle x; angle b is the same as y; and angle c is the same as z. We also know that, because of the Triangle Angle-sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. So for us that means that a+b+c(which is also z) = 180. 50 + 2x + 40 + 4x + 8 = 180. Combining like terms we have 6x + 98 = 180. Subbtracting 98 from both sides gives us 6x = 82 and x = 13 2/3
Answer: 2/5
Step-by-step explanation:
xy^2
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5
If x = 2 and y = 1
x * y^2 2 × 1^2
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5 5
2
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5
Answer:
40 girls
Step By Step Explanation:
assume boys = y girls = x
y = 1/2x + 10
y = 30
30 = 1/2x + 10
1/2x = 20
x = 20 *2 = 40
girls is 40 boys is 30
The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.
TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.
17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17
For some reason, this does not give a correct value for Y, so I had to use trig
TO FIND Y
Notice that the angle DAB is the same as DBC (lets call this angle Ø)
Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.
We can now form some equations:
cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15
X=64/15 Y=136/15
Answer:
30 degrees.
Step-by-step explanation:
The ladder that extends from the floor to the storeroom makes a right triangle. The ramp is the hypotenuse measuring 10 m and the elevation of the storeroom is the opposite side. The angle of elevation is the arcsin of the quotient of the 5/10. Thus, the answer is 30 degrees.
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