Answer:
· This image may result from the construction of <em>an angle congruent to a given angle</em>.
· The next step in this construction is to set the compass width to <em>arc JK and draw an arc centered at L intersecting the existing arc through L</em>.
Step-by-step explanation:
If the step shown above results in point of intersection P, and the construction is completed by drawing ray DP, then this construction produces triangle DLP congruent to triangle BKJ. The angle at D will be congruent to the angle at B because CPCTC. Hence an angle congruent to a given angle will have been constructed.
Answer:
250
Step-by-step explanation:
You would get 20 times 10 so that would 80 percent of it
Then you would add another 16 percent so that would be 240
Then you have 4 percent left so half of 20 if 10
So therefore you have 250
Answer:

Step-by-step explanation:
We are given that
2 + (3+5 ) 2 ÷ 4 ( 1/2)^4
2 + (8 ) 2 ÷ 4 ( 1^4 / 2^4)
Applying rule of exponents which says
(a/b)^m = a^m / b^m
2 + (8 ) 2 ÷ 4 ( 1 / 16)
2 + (8) ( 1/ 2 ) (1 / 16)
2 + 4 ( 1/16)
2 + (1/4)
(8+1)/4
9/4
Answer
The big keyword here is the word RATIO. Ratio of what? The ratio of girls to boys in the entire grade. A ratio is just the two amounts divided by each other (you can also call it the slope, but ignore that if that makes it more confusing).
(81 girls)/(72 boys)
Simplify it by breaking it up a bit.
81 = 9 * 9
72 = 9 * 8

Cross out similar terms to gain the result of:

What they want from us is the ratio of girls if a group has 16 boys. So set it up like this:

Just by looking at this you may be able to solve for "x" if you have a good understanding of fractions, but instead let's do the long way.
First off is to get "x" alone by multiplying 16 boys on both sides.
x =

Remember that:
16 = 8*2
x =

Cancel out the like terms (8) to give you:
x = 18 girls