Answer:
9x - 45
Step-by-step explanation:
9 * x = 9x and 9 * -5 = -45. Therefore the answer is 9x - 45
Answer:
- 12.5 ounces of 12% alloy
- 37.5 ounces of 24% alloy
Step-by-step explanation:
Let x represent the amount (in ounces) of 24% alloy in the mix. Then the amount of 12% alloy is (50 -x). The amount of silver in the mix is ...
24%·x + 12%·(50 -x) = 21%·50
12x = 450 . . . . . . simplify, multiply by 100 (to eliminate %), and subtract 600
x = 37.5 . . . . . . . divide by 12
The jeweler needs to mix 37.5 ounces of 24% silver alloy with 12.5 ounces of 12% silver alloy to make 50 ounces of 21% silver alloy.
Answer:
18
Step-by-step explanation:
I2=h2+r2
25(2)=h2+7(2)
50=h2+14
-14 -14
36=h2
÷2 ÷2
18=h
Answer:

Step-by-step explanation:
The measure of arc which the right triange cuts from the circle is
this means the central angle has the same measure.
Angle with measure
is inscribed angle subtended on the given arc. Its measure is half the measure of the central angle, hence

Angles with measures
and
are complementary angles (add up to 90°), so
