Answer:
25% decrease
Step-by-step explanation:
First find the amount of decrease ( we know this is a decrease since it got smaller)
24-18) =6
Take this over the original amount
6/24 = 1/4 = .25
Change to percent form
25%
25% decrease
8^2+6^2=c^2. 64+36=c^2. c=10. Here we use Pythagorean theorem which is a^2+b^2=c^2.
Option C: 126° is the correct answer
Step-by-step explanation:
When two lines intersect, the four angles are formed. The angles vertically opposite with same vertex are called vertical opposite angles.
The opposite vertical angles are equal.
In the given figure, the pairs of vertically opposite angles are e,h and f,g.
Given
∠e = 126°
The measurement of e and h will be equal as they are vertically opposite
So,
m∠e = m∠h
m∠h = 126°
Hence,
Option C: 126° is the correct answer
Keywords: Vertical angles, lines
Learn more about angles at:
#LearnwithBrainly
Answer:
7. 4910.4
8. 3.6
Step-by-step explanation:
To find the volume of this prism, you first need to find the area of the triangular base. Since it is an equilateral triangle, the formula for its area is simply , which in this case is . Multiplying this by the height of 35, you get about 4910.4 cubic yards. For the cylinder, the formula for the volume is . Plugging in your known values, you get:
inches
Hope this helps!
Answer:15
Step-by-step explanation: So we have this triangle but it's not a right triangle right so we can't just Pythagorean theorem our way out. So we have to treat the sizes as ratios. 2:12 is the ratio of the smaller triangle. 12 increases to 78 which means side 2 has to increase as well by the same ratio so 78/12 = 6.5 and 6.5*2=13 so PQ is 13 and to find NQ just add NP and PQ or 2+13 = 15
Hope it helps :)