1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zimovet [89]
3 years ago
15

Find the value of x. Please help! Thanks.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0

Answer:

\huge\boxed{x=\sqrt{30}}

Step-by-step explanation:

ΔABC and ΔBDC are similar (AAA).

Therefore the corresponding sides are in proportion:

\dfrac{AC}{BC}=\dfrac{BC}{CD}

substitute

AC=7+3=10\\{BC}=x\\CD=3

\dfrac{10}{x}=\dfrac{x}{3}           <em>cross multiply</em>

<em />(10)(3)=(x)(x)\\\\30=x^2\\\\x^2=30\to x=\sqrt{30}<em />

You might be interested in
Express the recurring decimal 0.042 as a fraction in its simplest form.
rodikova [14]

Answer:

7/165

Step-by-step explanation:

This is a mixed recurring decimal (the zero is not repeating)

We take number after the decimal point     042

then we subtract  the non repeating.In this case is 0 so we not subtract anything

This will be the numerator  42

Now ,the denominator:

For each repeating decimal we write a 9 (in this case 2 nines)

For each non repeating decimal we write a zero

Denominator is 990

42/990  =  7/165

7:165 = 0.0424242......

5 0
3 years ago
Who wants brainlist and points
postnew [5]

Answer:

6 times 10^3

Step-by-step explanation:

You multiply 3 and 2 together and 10^7 and 10^-4 together. 3x2 is equal to 6 and 10^7 times 10^-4 is the same as 10^7-4 which is equal to 10^3. Therefore, the answer is 6 times 10^3.

If this has helped please mark as brainliest

3 0
2 years ago
I plant grew 3 1/4 inches over 6 1/2 month period. What was the average monthly growth rate for the plant
Sholpan [36]

Answer:

0.5 inches per a month

Step-by-step explanation:

you turn them to a decimal to make them easier and then divide them to get the answer.

6 0
3 years ago
Some conveyor belts have two pulleys. If one pulley has a diameter of 45 cm and another has a diameter of 20 cm, what is the rat
siniylev [52]
20:45 or 4:9 if simplified
5 0
2 years ago
Billy will earn $8 per hour and work 12 hours per week how much will he earn in one week​
wolverine [178]

Answer:

The answer is simple. If there is $8 an hour and works for 12 hours, just multiply 8 by 12, which is 96. He will earn $96 in a week

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Find the slope of the line ​
    5·1 answer
  • What is the equation of the line that passes through the point (-4, 4) and has a<br> slope of -3
    13·1 answer
  • −9(x + 6) + 60 = 13 − 10x
    5·2 answers
  • Andrew is at point A. A deer is 3km directly north of Andrew, at point D. Brian is 1.8 km due west of Andrew at point B. Calcula
    5·1 answer
  • In a test of the effectiveness of garlic for lowering​ cholesterol, 4545 subjects were treated with garlic in a processed tablet
    6·1 answer
  • What is the measure of angle 1?
    8·1 answer
  • Can someone help me please!!!!!!!!!!!!
    8·2 answers
  • Solve (v-2)^2-27=0 where v is a real number. simplify your answer as much as possible
    5·2 answers
  • A ray can intersect a circle in __________.
    8·2 answers
  • Who tryna okay among us??
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!