Since it's isosceles, ∠ABC = (180-30) / 2 = 75
Notice the larger triangle is a right-triangle, and the small one is also a right-triangle. Also notice the "angle tickmark" on each. So both angles have a pair of angles that are equal on each.
the triangles are similar by AA.
Answer:
Remembering the properties of numbers is important because you use them consistently in pre-calculus. The properties aren't often used by name in pre-calculus, but you're supposed to know when you need to utilize them.
The complete question in the attached figure
we know that
m angle bad =75°
remember that on parallelogram
(∠A + ∠<span>B) = 180°
[Since, sum of the interior angles on the same side of the transversal is 180°]
therefore
</span>∠B=180°-∠A=180°-75°=105°
∠B=105°
<span>Similarly
∠B + ∠C = 180°
∠C + ∠D = 180°
and ∠D + ∠A = 180°</span>
<span>Thus, the sum of any two adjacent angles of a parallelogram is 180°.
</span>
m angle bcd=∠C=180-∠B=180°-105°=75°
the answer is m angle bcd=75°
Answer:
33.1%
Step-by-step explanation:
First, calculate the dollar amount of the increase. Subtract $32,500 from $43,250. We get $10,750.
Next, divide this $10,750 by the original salary, $32,500, to determine what fraction of $32,500 is represented by $10,750:
fraction = $10,750/$32.500 = 0.331
Convert this to a percentage by multiplication by 100%: 33.1%
The rate of increase of the saleperson's salary was 33.1%.