All categories

3 years ago

ABC is similar to DEF. Find x.

Mathematics

1 answer:

san4es73 [151]3 years ago

3 0

<h3>Answer: 25</h3>

Through using the pythagorean theorem, you should find the hypotenuse of the smaller triangle to be 10 units. Therefore, the perimeter of the smaller triangle is 6+8+10 = 24 units.

The perimeter of the larger triangle is 60 units. The ratio here is 24:60 = 2:5

Meaning that the larger perimeter is 5/2 = 2.5 times that of the smaller.

We apply this scale factor 2.5 to the smaller hypotenuse 10 to jump to 2.5*10 = 25, which is the length of the larger hypotenuse.

You might be interested in

PLEASE COMMENT THE CORRECT ANSWER I WILL REWARD BRAINLY

Paladinen [302]

The 8th number in this sequence is -16. You are subtracting 3 between each set of numbers.

a1= 8-5= 3
a2= 5-2= 3
a3= 2-(-1)= 3
a4= -1 - (-4)= 3
a5= -4 - (-7)= 3
a6= -7 - (-10)= 3
a7= -10 - (-13)= 3
a8= -13 - (-16)= 3

ANSWER: -16

Hope this helps! :)

4 0

3 years ago

A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 4 had a mispriced item. If 1,6

rusak2 [61]

Answer:

128

Step-by-step explanation:

There are 32 50's in 1600.

So 32x4=128

4 0

3 years ago

Eduardo has a recipe that uses 2/3 cup of flour for each batch. If he makes 4 batches, how many cups of flour will he need? How

34kurt

Answer:

4 batches: $2\frac{2}{3}$ cups

7 batches: $4\frac{2}{3}$ cups

Step-by-step explanation:

If he uses 2/3 cup of flour for <u>each</u> batch, then that is 2/3 four times, or 2/3 · 4.

$\frac{2}{3}$ × $\frac{4}{1}$

= $\frac{8}{3}$ = $2\frac{2}{3}$

If he makes three more, than that will be 7 batches in total. We can multiply 2/3 by 3 to find out how much will be needed for those extra three, then add that product to $2\frac{2}{3}$ .

$\frac{2}{3}$ × $\frac{3}{1}$

= $\frac{6}{3}$ = 2

$2\frac{2}{3} +2$ = $4\frac{2}{3}$

Thus, $2\frac{2}{3}$ and $4\frac{2}{3}$ are the answers.

hope this helps!

8 0

2 years ago

Hi, can anyone help me with this Mathematics problem? Question: 2 and 3/8 X (times) 16 simplified.

lutik1710 [3]

Fraction form 38
___
1
Or just 38

4 0

3 years ago

(3 points) In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they hav

den301095 [7]

Answer:

22.60% probability that exactly 3 people are repeat offenders

Step-by-step explanation:

For each driver arrested selected, there are only two possible outcomes. Either they are repeat offenders, or they are not. The probability of an arrested driver being a repeat offender is independent from other arrested drivers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$