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
Mkey [24]
3 years ago
10

Explain how to find the value of x. Be sure to include the postulates, definitions and theorems that justify your answer.

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0

Answer: x = 12

Step-by-step explanation:

We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.

We know that:

cos(S) = adj cathetus/hipotenuse.

Then we have, for the triangle SRT.

Cos(S) = 9/SR.

for the big triangle, SQR, we have:

Cos(S) = SR/(9 + 16)

now we can find the quotient of those two equations and get:

cos(S)/cos(S) = 9/Sr*(9+16)/SR

SR^2 = 9*(25)

SR =  15.

Now with this side we can find the value of x.

We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:

9^2 + x^2 = 15^2

x = √(15^2  - 9^2) = 12

You might be interested in
Which of the following three vectors has the greatest magnitude: v + (−w), w − v, or
makvit [3.9K]

Answer:

All have same magnitude.

Step-by-step explanation:

Given that

Vector 1 = V+ (-W) = V - W

So the magnitude of vector 1, R₁

R_1=\sqrt{(V-W)^2}

R₁ = V -W

For vector 2

Vector 2 = W - V  = W - V

So the magnitude of vector 2, R₂

R_2=\sqrt{(W-V)^2}

R₂ = V -  W

For vector 3

Vector 3 = (-V) - (-W) = - V + W = W - V

So the magnitude of vector 3,

R_3=\sqrt{(W-V)^2}

R₃ = W -V

So all have same magnitude.

7 0
3 years ago
Determine the slope given the following information:
Brrunno [24]

Answer

4/1

Explanation step by step

4-(-4)/2-0

8/2

4/1

8 0
3 years ago
If 4 video games costs $125, how much does 1 video game cost?
scoray [572]

Answer:

$31.25

Step-by-step explanation:

divide 125 by 4

hope this helps you!!! also good luck!!!!

8 0
3 years ago
Read 2 more answers
The point (2,-4) is on the line given by which equation below?
kykrilka [37]

Answer:

C ) y = -2x

Step-by-step explanation:

(2, -4)

y = -2x

subsitute x for the value of x

y = -2(2)

-2 × 2 = -4

y = -4

so

the equation for the point (2, -4) is

y = -2x

4 0
3 years ago
Help me please! I need to get this done by today! I am doing ratios and rates! I will also make you the brainlest
Anna [14]

Step-by-step explanation:

Students Hours

52 8

X 6

So,

52×6=8×x

312=8x

312/8=x

39 Students Answer

7 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me define the variables and write out each equation. TY!
    10·1 answer
  • Trevor drove 202 miles to visit his grandparents. It took him 4 hours to get there. What was the average speed that Trevor drove
    14·1 answer
  • I don't know plz help me
    13·1 answer
  • Josh just finished building a dog house.now he wants to put carpet on the floor of the doghouse.josh measured the perimeter of t
    10·1 answer
  • 8(-6a+2)+(-5)(-9a+2)
    15·2 answers
  • What is the slope of a line that<br> contains the points (4, 3) and (-1, -4)?
    15·1 answer
  • The midpoint of TU is located at
    11·1 answer
  • Please help i have to finish 15 assignments today including a final exam and i dont know what im doing
    12·1 answer
  • How to find the sale price if 20% profits earned by selling the article of cost price
    12·1 answer
  • PLEASE HELP <br> 5|12-r|&gt;15
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!