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
tigry1 [53]
2 years ago
11

Directions: Solve for x.

Mathematics
1 answer:
KonstantinChe [14]2 years ago
7 0

Answer:

x = 6

Step-by-step explanation:

From the given picture,

ΔABC and ΔADE are the similar triangles.

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

\frac{AB}{AD}=\frac{AC}{AE}

\frac{x+18}{x}=\frac{28}{(28-21)}

7(x + 18) = 28x

7x + 7×18 = 28x

28x - 7x = 126

21x = 126

x = \frac{126}{21}

x = 6

You might be interested in
Find the solution to the system of equations.y=2x+3 and y=-3x+3
iragen [17]

Answer:

x = 0 and y = 3

Step-by-step explanation:

Using elimination method, we can solve for x and y in the simultaneous equation

y = 2x + 3   .................................eqn 1

y = -3x + 3  .................................eqn 2

multiply equation 1 by 3 and equation 2 by 2, then we will have

(y = 2x + 3) × 3

(y = -3x + 3) × 2

3y = 6x + 9   ...............................eqn 3

2y = -6x + 6 ................................eqn 4

Add eqn 3 and 4 together and we will eliminate x and have

5y = 15

Divide both sides by 5, and we will have

y = 3

To solve for x, substitute 3 for y in eqn 1

y = 2x + 3

3 = 2x + 3

collect like terms

3 - 3 = 2x

0 = 2x

Therefore x = 0

6 0
3 years ago
As seen in the diagram below, Hawa is building a walkway with a width of a feet to go
slega [8]

Answer:

8 feet

Step-by-step explanation:

you have to calculate :(19+2x)(6+2x)=770

you will get X1=8,X2= negetive some value but measurement cant be negative .if you put X=8 you'll find LHS=RHS

7 0
1 year ago
Read 2 more answers
What is the amount you pay for the purchase of a house that decreases the amount of the loan?
Leviafan [203]
Down payment is the amount you pay for the purchase of a house that decreases the amount of the loan. It decreases the amount of interest paid over the lifetime of the loan.
8 0
3 years ago
Seven friends have similar cell phone plans. The price of each plan is $x. Three of the seven friends pay an extra $4 per month
Solnce55 [7]
So 7 friends with similar. Phone plans. 3 of them pays an extra 4 bucks, so that means that x+ 4 is what 3 of the 7 r paying. The other 4 pay just x Amt of money for their plan. So go find the total bill, it would be (x+4)+(x+4)+(x+4)+x+x+x+x. Now simplify, (x+4)^3, because there are three of the 7 using that, and then x^4, because 4 of the 7 r using that plan. So in total it would be (x+4)^3+ x^4. Hope this helps
7 0
3 years ago
WHAT IS THE RELATIONSHIP BETWEEN THE ANGLE OF ELEVATION AND THE ANGLE OF DEPRESSION? GIVE AN EXAMPLE OF AN APPLICATION USING THE
Makovka662 [10]
Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which function has a simplified base of 4^sqrt 4 ?
    11·2 answers
  • Question 2
    10·1 answer
  • What cross-section is formed when a place slices a rectangular pyramid parallel to its base?
    6·1 answer
  • Problem Solving
    12·1 answer
  • The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5 . If there were
    8·1 answer
  • Casey is going to start selling ice cream cones at the county fait. He has to rent the equipment for $26 and spend $0.43 on ingr
    12·2 answers
  • Ryan is helping his fellow students build a float for a parade. They need to create a giant spoon for their float. They base the
    11·1 answer
  • Which of these figures has rotational symmetry
    11·1 answer
  • Scientists are preparing two satellites to be launched. The equation y = 8000.C represents the number of miles, y, that the sate
    7·2 answers
  • What decimal is halfway between 2.7 and 2.8?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!