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This problem could be solved using the Law of Cosines, since we are given with the three sides. The equation goes,
b^2 = a^2 + c^2 - 2accosB. Substituting,
24^2 = 7^2 + 25^2 - 2(7)(25)cosB
Then B = 73.7 degrees. Therefore sinB or sin(73.7) = 0.96.
Answer:
y = 15x - 10
Step-by-step explanation:
slope is given: 15
(x, y) is given: (1, 5)
plug values into y = mx + b:
5 = (15)(1) + b
solve for b:
b + 15 = 5
b = -10
rewrite the equation:
y = 15x - 10
The shapes are similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Therefore,

Simplify:

Cross multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 57x - 42x
420 = 15x
x = (420÷15)
x = 28
Answer:

Step-by-step explanation:
If x is inversely porportionaly to y, then for some constant k,

Since y is 4 when x = 18, k is equal to 4*18=72, so the equation is:

If A and B are supplementary angles, then:
A+B=180º
In this case:
A=44º
44º+B=180º
B=180º-44º=136º
Anser: the measure of the other angle is 136º