Answer:
(d) 60°
Step-by-step explanation:
<u>Theorems</u>
- Interior angles of a triangle sum to 180°
- Angles on a straight line sum to 180°
Therefore, the <u>exterior angle</u> of a triangle is <u>equal to the sum</u> of the <u>two non-adjacent interior angles</u> of the triangle.
⇒ (a + 20) + (a + 10) = (a + 90)
⇒ a + 20 + a + 10 = a + 90
⇒ 2a + 30 = a + 90
⇒ 2a + 30 - a = a + 90 - a
⇒ a + 30 = 90
⇒ a + 30 - 30 = 90 - 30
⇒ a = 60
Answer:
See explanation
Step-by-step explanation:
<u>Definition:</u>
<u>Given:</u>
1. Find
There are 9 elements.
2. Find
There are 9 elements.
3. Find
There are 9 elements.
4. Find
There are 9 elements.
The formula is 1/2 x ( a + b ) x h
A and b are the top and bottom sides and h is always the perpendicular height.
Now replace the variables...
1/2 x (6 + 14 ) x 8.4
And then...
1/2 x 20 x 8.4 which will give you 84cm^2
Hope this helps! Anymore questions let me know :)
∠Q = ∠R = 47°
answer
<span>∠R
------------------------</span>
Firstly we need to find out how much is 7% from $124.95:
7% * 124.95 =
= 7/100 * 124 95/100 =
= 7/100 * 12495/100 =
= 87465/10000 =
= 8,7465
As far as we talk about money, we can round it to the nearest cent:
8.7465 ≈ 8.75
So we have $124.95 (original price) + $8.75 (tax) + $10 (charge for shipping).
$124.95 + $8.75 + $10 = $133.70 + $10 = $143.70
Answer: <u>Patel paid $143.70</u>.