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
Naily [24]
3 years ago
6

I've been stuck on this for a little while now. Could anybody help?

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0

Answer:

  7

Step-by-step explanation:

The arrows on the diagonal lines mean those lines are parallel. That means the triangles are similar, so corresponding sides have the same ratio.

There are many ways we can write the proportion expressing that fact. It is convenient to do so with the variable in the numerator:

  (3x -6)/12 = 10/8

Multiplying by 4, we have ...

  x -2 = 5

  x = 7 . . . . . . add 2

 

You might be interested in
A short road trip took Susan about 2 hours, traveling at an average speed of 51
prisoha [69]

The type of variation between the speed and time is inverse.

The equation is r = d / t

The number of miles travelled is 102 miles.

<h3>What is the type of variation?</h3>

When the speed a person is driving at increases, the time it takes to travel would decrease. On the hand,  speed a person is driving at decreases, the time it takes to travel would increase. This means that there is an inverse relationship.

The equation that represents an inverse relationship is

r = d / t

Where d is the distance

Distance = t x r

51 x 2 = 102 miles

To learn more about average speed, please check: brainly.com/question/21734785

#SPJ1

3 0
2 years ago
Identify the vertex and the y-intercept of the graph of the function.
QveST [7]

Answer:

vertex, (4, –2); y-intercept, –6

Step-by-step explanation:

The equation is written in vertex form y = a(x-h)^2 + k where the vertex is (h,k).

The vertex here is (4, -2). This means the solution is vertex, (4, –2); y-intercept, –6.

5 0
4 years ago
Read 2 more answers
The value of tangent x is given. Find sine x and cos x if x lies in the specified interval.
katrin2010 [14]

Answer:

sin x = 0.998

cosx = 0.046

Step-by-step explanation:

<u>Given that:</u>

tan x = 21

where interval of x is [0,\dfrac{\pi}{2}].

We know that the trigonometric identity for tan x is:

tan\theta = \dfrac{Perpendicular}{Base}

Comparing with:

tan x = \dfrac{21}{1}

Perpendicular = 21 units

Base = 1 unit

As per pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\

\Rightarrow \text{Hypotenuse}^2 = 21^2 +1^2\\\Rightarrow \text{Hypotenuse} = \sqrt{442} = 21.023\ units

interval of x is [0,\dfrac{\pi}{2}] so values of sinx and cosx will be positive because it is first quadrant where values of sine and cosine are positive.

We know that

sin\theta = \dfrac{Perpendicular}{Hypotenuse}\\cos\theta = \dfrac{Base}{Hypotenuse}

So, sine x :

\Rightarrow sinx =\dfrac{21}{21.023}\\\Rightarrow sinx = 0.998

Similarly, value of cos x :

\Rightarrow cosx =\dfrac{1}{21.023}\\\Rightarrow cosx = 0.046

3 0
3 years ago
Simplify <br> 3 + (-8) -17
DiKsa [7]
3 + (-8) - 17
3 - 8 - 17
3 - 25
-22 <==
8 0
3 years ago
Read 2 more answers
Please answer this as quick as you can
SIZIF [17.4K]

Answer:

B is correct because there cannot be negative people in a cafeteria.

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Evaluate f(x) =1/3x for x = 4.
    5·2 answers
  • Hannah has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is $28.30 How many quarters
    10·2 answers
  • Tree numbers are in AP their sum is 15 and their products is 80 determine the numbers​
    11·1 answer
  • Write a decimal for each of the following <br> 3x10+5x1+2x(1/10)+7x(1/100)+6x(1/1000)
    8·1 answer
  • Each story in Will's apartment building is 9 feet tall. There are 10 stories in the building. How tall is the apartment building
    6·1 answer
  • Question 1 of 10
    13·2 answers
  • Please help me!!!!! With this problem!!!!!
    8·1 answer
  • Help meeee please I’m stuck on a question
    14·2 answers
  • Which situation shows a constant rate of change?
    12·2 answers
  • Help me find N please!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!