Answer:
<h2>3x + 21 = 6x - 60 </h2>
Step-by-step explanation:
parallel angles are equal
3x + 21 = 6x - 60
combine similar terms:
3x - 6x = -60 - 21
-3x = -81
x = 81/3
x = 27
now, plugin the value of x=27 back into the equation to get the angle:
= 3x + 21
= 3(27) + 21
= 102
= 6x - 60
= 6(27) - 60
= 102
as you noticed, both values are equal 102 = 102 because its a parallel angles
so the equation is 3x + 21 = 6x - 60
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i am pretty sure its correct.
Answer:
It will take them 3.43 hours.
Step-by-step explanation:
Let T denote the total cookies that need to be cocked. Observe that:
Then, by 1) and 2), if they work together would we able to make
cookies per hour.
Therefore, in order to finish the T cookies they will need
Answer:
7 1/17
Step-by-step explanation:
A figure can be helpful.
The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.
The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...
BC² = BD² +CD²
BC² = 8² +15² = 289
BC = √289 = 17
The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...
(long side)/(hypotenuse) = DE/BD = CD/BC
DE = BD·CD/BC = 8·15/17
DE = 7 1/17 ≈ 7.059
