Answer:
They are congruent.
Step-by-step explanation:
The have the same side length, as shown by the marking on the side next to the double marked angle and across from single marked angle. They have the same angle measures located in the same places as well. They are congruent as proven by shape, angle measures, and side length.
Using it's concept, it is found that the probability that he winds up wearing the white shirt and tan pants is of
.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem:
- For the shirt, there is 4 outcomes, hence the probability of the white shirt is 1/4.
- For the pair of pants, there are 2 outcomes, blue or tan, hence the probability of tan pants is 1/2.
Since the shirt and the pants are independent, the probability is given by:
.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Step-by-step explanation:
Let
S = 2b/(b+a)^2 + 2a/(b^2-a^2) factor denominator
= 2b/(b+a)^2 + 2a/((b+a)(b-a)) factor denominators
= 1/(b+a) ( 2b/(b+a) + 2a/(b-a)) find common denominator
= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a)) expand
= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a)) simplify & factor
= 2/(b+a)(b^2+a^2)/((b+a)(b-a)) simplify & rearrange
= 2(b^2+a^2)/((b+a)^2(b-a))
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Answer:
A) 5 3/10
B) 785 3/20
Step-by-step explanation:
Hope this helps <3
you find a common denominator and then simplify all fractions to that common denominator. then, you add them up!
2 1/5 + 3 1/10
5 can fit into 10 twice so it becomes...
2 2/10 + 3 1/10 which equals
<u>5 3/10</u>
472 2/5 + 312 3/4
5 times 4 is 20
472 8/20 + 312 15/20
there is a remainder of 3 for the fractions so you put it over 20.
<u>785 3/20</u>
3,000,000,000,000+600,000,000+30,000,000+200,000+90,000+50+8