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
svp [43]
2 years ago
8

Solve the proportion for x

Mathematics
1 answer:
STatiana [176]2 years ago
8 0

Answer:

X = 3

,

Step-by-step explanation:

\frac{32}{24}  =  \frac{4}{x}  \\ 32x = 4 \times 24 \\ x =  \frac{4 \times 24}{32}  \\ x = 3

You might be interested in
Solve for 2x^2-4x+5=6
Softa [21]
To solve for a variable, you need to get it (x) by itself.

2x² - 4x + 5 = 6   Subtract 6 from both sides
2x² - 4x - 1 = 0   Plug this into the Quadratic Formula

a = 2 , b = -4 , c = -1
x = \frac{-b \pm  \sqrt{b^2 - 4ac} }{2a}   Plug in your values
x = \frac{-(-4) \pm \sqrt{(-4)^2 - 4(2)(-1)} }{2(2)}   Simplify
x = \frac{4 \pm \sqrt{16 + 8} }{4}   Simplify
x = \frac{4 \pm 2\sqrt{6} }{4}   Simplify by removing a 2 from every term
x = \frac{2 \pm \sqrt{6} }{2}   Simplify by taking the fraction apart
x = \frac{2}{2}  \pm  \frac{ \sqrt{6} }{2}   Change \frac{2}{2} to 1
x = 1 \pm  \frac{ \sqrt{6} }{2}   Simplify \frac{ \sqrt{6} }{2} to \sqrt{ \frac{3}{2} }
x = 1 \pm \sqrt{ \frac{3}{2} }
4 0
3 years ago
Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.
Gelneren [198K]

Answer:

(A)Segment EF, segment FG, segment GH, and segment EH are congruent

Step-by-step explanation:

<u>Step 1</u>

Quadrilateral EFGH with points E(-2,3), F(1,6), G(4,3), H(1,0)

<u>Step 2</u>

Using the distance formula

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given E(-2,3), F(1,6)

|EF|=\sqrt{(6-3)^2+(1-(-2))^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}

Given F(1,6), G(4,3)

|FG|=\sqrt{(3-6)^2+(4-1)^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}

Given G(4,3), H(1,0)

|GH|=\sqrt{(0-3)^2+(1-4)^2}=\sqrt{(-3)^2+(-3)^2}=\sqrt{18}=3\sqrt{2}

Given E (−2, 3), H (1, 0)

|EH|=\sqrt{(0-3)^2+(1-(-2))^2}=\sqrt{(-3)^2+(3)^2}=\sqrt{18}=3\sqrt{2}

<u>Step 3</u>

Segment EF ,E (−2, 3), F (1, 6)

Slope of |EF|=\frac{6-3}{1+2} =\frac{3}{3}=1

Segment GH, G (4, 3), H (1, 0)

Slope of |GH|= \frac{0-3}{1-4} =\frac{-3}{-3}=1

<u>Step 4</u>

Segment EH, E(−2, 3), H (1, 0)

Slope of |EH|= \frac{0-3}{1+2} =\frac{-3}{3}=-1

Segment FG, F (1, 6,) G (4, 3)

Slope of |EH| =\frac{3-6}{4-1} =\frac{-3}{3}=-1

<u>Step 5</u>

Segment EF and segment GH are perpendicular to segment FG.

The slope of segment EF and segment GH is 1. The slope of segment FG is −1.

<u>Step 6</u>

<u>Segment EF, segment FG, segment GH, and segment EH are congruent. </u>

The slope of segment FG and segment EH is −1. The slope of segment GH is 1.

<u>Step 7</u>

All sides are congruent, opposite sides are parallel, and adjacent sides are perpendicular. Quadrilateral EFGH is a square

4 0
3 years ago
Read 2 more answers
39-50 find the limit.<br> 41. <img src="https://tex.z-dn.net/?f=%5Clim%20_%7Bt%20%5Crightarrow%200%7D%20%5Cfrac%7B%5Ctan%206%20t
Katyanochek1 [597]

Write tan in terms of sin and cos.

\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}

Recall that

\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1

Rewrite and expand the given limand as the product

\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)

Then using the known limit above, it follows that

\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}

4 0
1 year ago
Use the order of operations to find the value of the expression: 20 - 12 + 8 x 5
Nezavi [6.7K]
Here’s what I got


Have nice day

6 0
3 years ago
Explain The probability of tossing a prime number when you toss the cube with numbers one through six
asambeis [7]
Probability is  (desired outcomes)/(total possible outcomes)

ok, you must make a choice
1. if you believe that 1 is prime (which I don't) go to AAAAAAAAAAA
2. if you believe that 1 is NOT prime, go to BBBBBBBBBBB


AAAAAAAAAAAA
prime numbers from 1 to 6 are
1,2,3,5
desired outcomes=4
total possible =6
4/6=2/3


BBBBBBBBB
prime numbers from 1 to 6 are
2,3,5
3 desired outcomes
6 total possible

3/6=1/2


if you belive that 1 is prime, then 2/3 is probability
if you believe that 1 is NOT prime then 1/2 is probability
5 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for the following equation step by step and justify your steps when using an exponential property.
    15·1 answer
  • Problem page two trains leave stations270 miles apart at the same time and travel toward each other. one train travels 70 at mil
    14·1 answer
  • What is inequality to compare
    11·1 answer
  • Find dy/dx by differentiating implicitly <br> x^2y+3xy^3-x=3
    6·1 answer
  • I GIVE THANKS AND 5 STARS<br> look at the screenshot, help?? Please tell me how you got it!!
    13·1 answer
  • Write an equation of a line that has a slope of 5 and goes through the point (-8, 35)?
    15·1 answer
  • If a line AB is translated in a plane to form A'B', what is true about AB and A'B'?
    7·1 answer
  • Plz Answer This Mathematics Question??? NEED HELP ASAP
    10·2 answers
  • Plz help!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • Which expression forms an equation with the given expression; 24 - 5 x 2
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!