Answer:
13/70 of his total budget
Step-by-step explanation:
To answer this, multiply "1/5 of his money" by 13/14:
13 1 13
---- * ----- = ------
14 5 70
He spends 13/70 of his money for the month on movies and music.
Answer:
x = 7, arc DE = 198°
Step-by-step explanation:
Inscribed angles from the same arc are congruent.
∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus
12x + 15 = 3x + 78 ( subtract 3x from both sides )
9x + 15 = 78 ( subtract 15 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Thus
∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°
The inscribed angle DCE is half the measure of its intercepted arc, thus
arc DE = 2 × 99° = 198°
Step-by-step explanation:
by making the radius twice ....
how to find a factor
"Factors" are the numbers you multiply to get another number. For instance, factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored). For instance, 12 can be factored as 1×12, 2×6, or 3×4.
x²(x + 2) ‐ x(x + 2) ‐ 12(x + 2)
x³+2x² - x²-2x -12x -24
x³- x² + 2x² - 14x -24