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
ivolga24 [154]
3 years ago
14

Solve for x. Help ASAP please!!!

Mathematics
1 answer:
sattari [20]3 years ago
3 0

Answer:

The value of x is 4

Step-by-step explanation:

In a right triangle, if a segment is drawn from the right angle ⊥ to the hypotenuse like the given figure, then

∵ The length of one side of the right triangle = (x + 2)

∵ The length of the hypotenuse = x + 5

∴ (x + 2)² = x (x + 5)

∵ (x + 2)² = (x + 2)(x + 2)

∴ (x + 2)(x + 2) = x(x + 5)

→ Simplify the two sides

∵ (x)(x) + (x)(2) + (2)(x) + (2)(2) = (x)(x) + (x)(5)

∴ x² + 2x + 2x + 4 = x² + 5x

→ Add the like terms in the left side

∴ x² + 4x + 4 = x² + 5x

→ Subtract x² from both sides

∵ x² - x² + 4x + 4 = x² - x² + 5x

∴ 4x + 4 = 5x

→ Subtract 4x from both sides

∴ 4x - 4x + 4 = 5x - 4x

∴ 4 = x

∴ The value of x is 4

You might be interested in
Which is the outlier in this set of values?<br> 17 20 19 10 15 19 14 0 11 16
Musya8 [376]

Answer:

Zero is the outlier.

Step-by-step explanation:

the rest of the numbers are all two-digit numbers while zero is one digit and farther away on a number line.

hope i helped!

8 0
3 years ago
What is the equation in point-slope form of a line that passes through the points (5, −3) and (−2, 9 answer a. y−3=−127(x+5) b.
jeka94
The answer is
<span>b. y+3=−2(x−5)</span>
8 0
4 years ago
Read 2 more answers
Chisaka has less than 145kg of food remaining in her spaceship. She needs a constant amount of food each day that she spacewalks
Veseljchak [2.6K]
If Chisaka does not space walks, the days she spend spacewalking are equal to zero. Since <span>S represents the number of days Chisaka spacewalks, we just need to replace </span>S=0 in our inequality to find how long her food will last if she does not spacewalks:
2.22S+1.3N\ \textless \ 145
2.22(0)+1.3N\ \textless \ 145
1.3N\ \textless \ 145

From this calculation we can infer that the coefficient of N, 1.3, is the amount of food she needs per day if she doesn't spacewalks. Similarly the coefficient of S, 2.2, is the amount of food she need per day if she spacewalks.

We can conclude that Chisaka will need 1.3 kg of food if she doesn't spacewalks, and 2.2 kg of food if she spacewalks.
7 0
3 years ago
What is the slope of the line represented by the equation Y = x/4 - 6
3241004551 [841]
Equation of straight line is y=mx+c ,here m is slope in given question m is 1/4.
Hope it helps you.

4 0
4 years ago
Is the square root of 16.45 a rational number or irrational number?
trapecia [35]

Answer:

Irrational

Step-by-step explanation:

The square root of 16.45 would be a number that will never end, making it irrational.

3 0
4 years ago
Read 2 more answers
Other questions:
  • There are 56 runners in a race. How many ways can the runners finish first, second, and third?
    11·1 answer
  • Kari picked 23 bunches of flowers from her garden. Each bunch had the same number of flowers. After she gave 46 flowers away, sh
    14·2 answers
  • What is the value of the expression below when z = 5? 52-4​
    7·2 answers
  • Consider the table below. x y -2 -2.4 -1 1.4 0 6 1 11.4 2 17.6 Complete the standard form of the equation that represents the qu
    15·1 answer
  • A new alloy is made by mixing 72 grams of iron with 9 grams of zinc. How many grams of iron are required to make the alloy when
    14·1 answer
  • Factorize B (A)<br>IBG) - (7a-41² -214-72) 1483) 1716​
    13·1 answer
  • 20/50 divide by 85/50
    10·1 answer
  • If tom had 500$ kerana had 400$ what will be the total
    15·1 answer
  • Please help! Its due today!
    12·1 answer
  • In order to determine the height of the flagpole in the school yard, Cindy is going to use similar triangles. The
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!