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
bija089 [108]
4 years ago
11

What is the value of x in the diagram below ?

Mathematics
1 answer:
Amanda [17]4 years ago
3 0

Answer:

x = 9

Step-by-step explanation:

12^2 + a^2 = 54^2

a^2 = 54^2 - 12^2

a = sqrt (54^2 - 12^2) = 6 * sqrt(77)

Then calculate it for another triangle, where each side is 6 times shorter (as 12/2 = 6):

2^2 + (sqrt(77))^2 = x^2

x^2 = 81

x = 9

You might be interested in
Solve the system of equations x+y=-8 and -9x-6y=60 by combining the equations
TiliK225 [7]

Answer:

x = - 4    y = - 4

Step-by-step explanation:

x+y= - 8

-9x-6y=60

First, solve for x in the first equation:

x+y = - 8       Subtract y from both sides

x + y - y = -8 - y    y cancels on the left

x = - 8 - y

Now plug in what you found for x into the 2nd equation and solve for y.

- 9x - 6y = 60

-9(- 8 - y) - 6y = 60   Multiply out

72 + 9y - 6y = 60

72 + 3y = 60  Subtract 72 from both sides

72 - 72 + 3y = 60 - 72    72 cancels on the left

3y = - 12     Divie both sides by 3

3y/3 = -12/3     3 cancels on the left because 3/3 = 1

y = -4

Now plug your answer for y back into the first equation to get x.

x + y = -8

x + (-4) = - 8  Add 4 to each side

x - 4 + 4 = - 8 + 4   4 cancels on the left

x = -4

x = - 4 and y = - 4

8 0
3 years ago
3 3/4 x 4<br><br> Help me pas
alexandr1967 [171]
Convert any mixed numbers to fractions.
Then your initial equation becomes:

15
4
×
4
1
Applying the fractions formula for multiplication,

=
15
×
4
4
×
1

=
60
4
Simplifying 60/4, the answer is
15
4 0
3 years ago
Read 2 more answers
How many variable terms are in the expression 3x to the third power Y plus 5X to the second power plus Y +9
andrew-mc [135]

Well, variables are stuff like x and y because they can represent a number. They are variable in an equation. so if you have (3x^3)+(5X^2)+Y+9 then your variables are x X and Y (im assuming the capital X is there and not a typo) if that was a typo and meant to be lowercase, then its just a 2 variable with the x and y

8 0
3 years ago
Twelve less than 5 times a number is greater than or equal to 6 more than twice the number. Each inequality and number line repr
jenyasd209 [6]

Answer:  x ≥ 6

<u>Step-by-step explanation:</u>

12 less <u>than</u> 5 times a number ≥ 6 more <u>than</u> twice the number

                    5x - 12                    ≥                        2x + 6

Note: the word "than" switches the order of the terms.

5x - 12 ≥ 2x + 6

<u>-2x  +12</u>  <u>-2x +12 </u>

3x         ≥       18

<u>÷3         </u>     <u>    ÷3 </u>

   x         ≥       6

Graph: 6 -----------→   the dot is closed (filled in) since it is "equal to"

3 0
3 years ago
Ivy is trying to manage the money she spends on lunch. Between eating out and buying groceries for bagged lunches, she wants to
Jlenok [28]

choice one is correct.

8 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP ASAP!!<br><br> Plot the approximate location of √23 on the number line.
    13·2 answers
  • Help lol I don’t know what to do
    13·2 answers
  • There are 800 students at Prestfield School. 45% of these 800 students are girls
    14·1 answer
  • A sound wave enters a new medium where sound travels faster. How does this affect the frequency and wavelength of the sound?
    12·2 answers
  • An 11-inch string is cut into 3 equal pieces. which expression shows the length of each piece?
    15·2 answers
  • Rachel is calculating the interest earned on a deposit of $350 in an account that earns 6% simple interest after 15 years. What
    6·1 answer
  • PLEASE HELP I WILL GIVE BRAINLIEST
    5·2 answers
  • 1. A triangle is rotated 35° about the origin. What is true about the relationship be pre-image?
    8·1 answer
  • At a snack stand, a medium soda costs $1.19, a chicken sandwich costs $3.09 , and an order of sweet potato fries costs $2.59. Ab
    14·1 answer
  • HELLLLLLLLLLLLLLLLP 8TH GRADE MATH IM TIMED HELLLLLLLLLLLLLLLLLLLLLLP
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!