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
yanalaym [24]
2 years ago
5

What is the value of x? Enter your answer in the box.

Mathematics
2 answers:
nignag [31]2 years ago
7 0

Answer:

<h2>x = 7</h2>

Step-by-step explanation:

The whole triangle and the small triangle are similar. Therefore the sides are in proportion.

We have the equation:

\dfrac{(2x+10)+3}{40+5}=\dfrac{3}{5}\\\\\dfrac{2x+13}{45}=\dfrac{3}{5}\qquad\text{cross multiply}\\\\5(2x+13)=(45)(3)\qquad\text{divide both sides by 5}\\\\2x+13=(9)(3)\\\\2x+13=27\qquad\text{subtract 13 from both sides}\\\\2x=14\qquad\text{divide both sides by 2}\\\\\boxed{x=7}

olchik [2.2K]2 years ago
4 0

Answer:

The value of x is 7

Step-by-step explanation:

In order to find this, we must create a proportion using the smaller triangle (right/left) and then the whole triangle (right/left)

5/3 = 45/2x+13

Now cross multiply to solve

5(2x + 13) = 45*3

10x + 65 = 135

10x =- 70

x = 7

You might be interested in
Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of w
maks197457 [2]
2 parts vinegar to 5 parts water so two over five
8 0
2 years ago
Read 2 more answers
The figure below shows a triangular piece of cloth:
lutik1710 [3]

Answer:

b 233 7 in

Step-by-step explanation:

i think

7 0
3 years ago
If 4sintheta = -3, solve for theta given 0°&gt;_theta&gt;_360°
Soloha48 [4]

Answer:

311.41 degrees

Step-by-step explanation:

If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).

Let's assume we're in Quadrant IV.  Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.

According to the Pythagorean Theorem,  (-3)^2 + x^2 = 4^2, or,

x^2 = 16 - 9 = 7.

Then x is either √7 or -√7.

To find the angle Ф, use the inverse sine function:

Ф = arcsin (-3/4).  Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees.  We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."  

6 0
2 years ago
6-11x=7x-12 how do you solve
tekilochka [14]
Use Cymath it helps and give u the answer
6 0
3 years ago
How many faces does the solid have?
ycow [4]
B.5 and I’m just guessing cause I need something answered
6 0
2 years ago
Read 2 more answers
Other questions:
  • The radius of a car wheel is 12 inches. How far will the car travel and 15 revolutions of the wheel?
    12·1 answer
  • in a certain algebra class of 26 students, 16 of them play basketball and 9 of them play baseball. there are 5 students who play
    9·2 answers
  • 5 3rd power- 12 ÷ 3 need to show the steps of answer 121
    9·1 answer
  • 8 times the difference between a number and 6 is equal to 4 times the number...
    7·2 answers
  • If C, D, and E are midpoints of triangle ZAB, find ZA.. A.7 B.8 C.14 D.18
    12·2 answers
  • What is the slope of the line? x+3y=10
    11·1 answer
  • 3÷4 is 34. What is 14 of 3?<br><br><br><br> a.3/4<br><br> b.13 of 4<br><br> c.43<br><br> d.1 1/4
    5·1 answer
  • The Barnes family has a coupon for 10% off their dinner. If their bill comes to $82.50 and they wish to tip 15%, what will they
    10·2 answers
  • Is -√15 irrational or rational
    7·1 answer
  • One side of a rectangle is 3 cm longer than the other. If the total area of the rectangle is 154 cm, what is the perimeter of th
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!