Answer:
see explanation
Step-by-step explanation:
In 13 - 17
Consider the factors of the constant term which sum to give the coefficient of the x- term
13
x² - x - 42 = (x - 7)(x + 6)
15
x² + x - 6 = (x + 3)(x - 2)
17
x² - 27x + 50 = (x - 25)(x - 2)
19
r² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
r² - 25
= r² - 5² = (r - 5)(r + 5)
Answer:
3.b

i hope question 3.a. is 5^x ÷ 5^-3 = 5^5
3.a.

Measure of angle 2 would be 130 degrees because since it forms a linear pair the two angles added together have to equal 180 degrees so
180 - 50 = 130
By right triangle trigonometry, the sine of the measure of an angle is the ratio of the opposite side of this angle to the hypotenuse.
Thus,


is a constant which can be found using a calculator:
with calc in pc: view → scientific → 27→sin = 0.45399,
thus x=34/0.45399=74.89
Answer: 74.89