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
Masteriza [31]
4 years ago
11

Find the value of x.

Mathematics
1 answer:
Gala2k [10]4 years ago
5 0

Answer:

\large\boxed{2\sqrt7}

Step-by-step explanation:

Look at the picture.

ΔADC and ΔACB are similar. Therefore the corresponding sides are in proportion:

\dfrac{AC}{AD}=\dfrac{AB}{AC}

We have

AC=x,\ AD=2,\ AB=2+12=14

Substitute:

\dfrac{x}{2}=\dfrac{14}{x}           <em>cross multiply</em>

x^2=(2)(14)\\\\x^2=28\to x=\sqrt{28}\\\\x=\sqrt{4\cdot7}\\\\x=\sqrt4\cdot\sqrt7\\\\x=2\sqrt7

You might be interested in
The number of lawns the workers in Angelo’s company have mowed in the first 6 weeks of the summer is 31, 24, 32, 28, 29, and 36.
maria [59]

Answer: MAD= 3

Step-by-step explanation:

Find the mean of the data set

31+24+32+28+29+36/6= 30

subtract EACH data by the mean, find the absolute value of the answer

31-30= 1 (absolute value)

24-30= 6 (absolute value)

32-30= 2 (absolute value)

28-30= 2 (absolute value)

29-30= 1 (absolute value)

36-30= 6 (absolute value)

Now find the mean of the values

1+6+2+2+1+6/6=3

MAD=3

5 0
4 years ago
What percent of 1 3/5 is 0.2 and what percent of 2 is 0.2?
natulia [17]

Answer:

1 3/5 = 8

2 = 10

Step-by-step explanation:

1 3/5 is 1.60 in decimal form so divide 1.6/0.2

2 is 2 so divide that by 0.2

6 0
3 years ago
The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and
kogti [31]

Answer:

12 1/6

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I needs the helps my dudes and dudets​
Luden [163]

10) 18/6 is less than or EQUAL TO 3 therefore there are 18 possible number of fruit snacks in the bag

3 0
4 years ago
Read 2 more answers
Which product is the factored form of the polynomial?
choli [55]
(3x^2- 5)(x^2+2) that is the answer
7 0
3 years ago
Other questions:
  • At a frisbee-throwing competition, one contestant threw a frisbee 113.47 meters.
    8·1 answer
  • Find the quotient. x + 7 x ÷ 9 x
    14·1 answer
  • Find three consecutive odd integers such that 5 times the sum of all three is 42 more than the product of the first and second i
    7·1 answer
  • Assuming a normal distribution of 1000 cases, how many cases will be farther away from the mean than + 3 standard deviations?a.A
    5·1 answer
  • What is the slope of the line that passes through the points (3 -1) and (-2 -5)
    10·1 answer
  • It takes 31 pounds to plant 5 acres how many pounds are needed to plant 1 acre?
    11·1 answer
  • A parallelogram with sides s and t has perimeter 2s+2t. Kelly is decorating the edge of her parallelogram-shaped craft table. Th
    6·1 answer
  • Pls can anyone mention pri.e numbers from 1 to 100..
    10·2 answers
  • 2 320 is invested for two years
    14·1 answer
  • Mike is adding 145 and 237.His work is shawn How can mike find the sum
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!