Answer:
acute base angle = 74° , obtuse base angle = 106°
Step-by-step explanation:
Since the large triangle is isosceles with vertex angle (top angle) is 32, then the bottom 2 angles would be same (let it be x):
We know angles of triangle add up to 180, so we have:
x + x + 32 = 180
2x = 180 - 32
2x = 148
x = 148/2
x = 74
This 74 degree angle is the base acute angle of the isosceles trapezoid (lower portion). We also know opposite angles of isosceles trapezoid are supplementary (add up to 180), thus
obtuse angle + 74 = 180
obtuse angle (base) = 180 - 74 = 106
Thus, acute base angle = 74° , obtuse base angle = 106°
Is this all one equation??
Best Answer:
<span>
to multiply fractions you simply take the denominator of both fractions
and multiply them, do the same to the numerator, and you have your
answer.
ex.
2 5 10
-- * -- = ----
4 8 32
then, of course, you would need to simplify.
so the answer is
10(/2) 5
-------- = -----
32(/2) 16
To multiply mixed numbers, you need to convert them to improper
fractions, multiply and then convert them back to a mixed number. For
example:
2 1/2 x 5 1/3 = 5/2 x 16 /3
numerator 5 x 16 = 80 denominator 2 x 3 = 6
so now you convert 80/6 into a mixed number
80 / 6 = 13 and 2/6 or, reduced, 13 1/3. </span>
It would take him 58.2 seconds to fill 14 glasses and it would take him 87.3 seconds to fill 21 glasses
