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
100 POINTS! PLEASE HELP!
Semmy [17]

Apply angle bisector theorem

\\ \sf\longmapsto \dfrac{9}{15}=\dfrac{3}{5}=\dfrac{2x-1}{3x}

\\ \sf\longmapsto 9x=5(2x-1)

\\ \sf\longmapsto 9x=10x-5

\\ \sf\longmapsto 10x-9x=5

\\ \sf\longmapsto x=5

#2

\\ \sf\longmapsto \dfrac{4}{3}=\dfrac{x}{2.25}

\\ \sf\longmapsto 4(2.25)=3x

\\ \sf\longmapsto 3x=9

\\ \sf\longmapsto x=3

Hope it helps

4 0
2 years ago
Read 2 more answers
max is making a rectangular garden that is 5 feet less than twice its width. If the perimeter of the garden is 80 feet, what wil
djverab [1.8K]
L=2w-5

2(l+w)=80
l+w=40
2w-5+w=40
3w=45
w=15 feet
l=25 feet. As a result, the width is 15 feet and length is 25 feet. Hope it help!
7 0
3 years ago
Read 2 more answers
Slope of (1,3) and (4,9)
elena-s [515]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (4, 9)

m = \frac{9-3}{4-1} = \frac{6}{3} = 2

5 0
3 years ago
What are the slope and the y-intercept of the line shown in the graph?
Darina [25.2K]

Answer:

Y-intercept: 2 Slope: -3 so... A.

Step-by-step explanation:

The Awsner is A.

5 0
3 years ago
Read 2 more answers
19. Subtract: 5 - 3 1/3 <br><br> A. 3 1/3<br> B. 2 1/3<br> C. 1 2/3<br> D. 2 2/3
earnstyle [38]
Answer:

C. 1 2/3

Step-by-step explanation:

5 - 3 1/3

We can also convert 5 into a fraction with the same denominator like this:

Since we’re trying to make 5 a fraction with a denominator of 3, leave 4 as the whole number and 3/3 as the fraction

4 3/3

4 3/3 = 5 because 3/3 = 1 and 4 + 1 = 5

Now we can subtract!

4 3/3 - 3 1/3 = 1 2/3

Step 1. Subtract the whole numbers

Step 2. Subtract the numerator

Step 3. Leave the answer with the same denominator
4 0
3 years ago
Other questions:
  • I need help on 39. You have to find the area of the polynomial
    8·1 answer
  • Will a polynomial times a polynomial always equal a polynomial?
    15·2 answers
  • At a store, 4 pairs of pants cost $90.00 and 4 pairs of jeans cost $78.00. How much would it cost to buy 3 pairs of pants and 5
    14·1 answer
  • What are the solutions of the equation (x – 3)2 + 2(x – 3) – 8 = 0? Use u substitution to solve.
    15·1 answer
  • Is this right can someone explain how to do this???
    7·1 answer
  • Kelly works in the clothing store where she earns a 20% commission on the clothes she sells. Last Saturday she sold $500 in merc
    6·1 answer
  • Classify the following random variables as discrete or continuous:
    5·1 answer
  • Write an equation in slope-intercept form for the line with slope 1/4 and y-intercept -1. PLEASE HELP MEEE : (
    8·1 answer
  • What is the value of (-1/2)⁻⁴?<br> -16<br> -1/16<br> 1/16<br> 16
    9·1 answer
  • Find the value of variable X. <br><br> 16<br><br> 41<br><br> 10<br><br> 17.5
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!