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
Goshia [24]
3 years ago
9

If ∠3 = 5x - 1, and ∠5 = 3x + 11, then x =

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0

5 = 3x + 11

Reorder the terms:

5 = 11 + 3x

Solving

5 = 11 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

5 + -3x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0

5 + -3x = 11 + 0

5 + -3x = 11

Add '-5' to each side of the equation.

5 + -5 + -3x = 11 + -5

Combine like terms: 5 + -5 = 0

0 + -3x = 11 + -5

-3x = 11 + -5

Combine like terms: 11 + -5 = 6

-3x = 6

Divide each side by '-3'.

x = -2

Simplifying

x = -2

You might be interested in
According to the Venn diagram what type of parallelogram is both a rectangle and a rhombus
Brut [27]
A square can be both a rectangle and a rhombus
4 0
2 years ago
Read 2 more answers
Simplify the given expression. (p+6)(p-4)
vampirchik [111]

Answer:p2+2p−24

Step-by-step explanation:(p+6)(p−4)

=(p+6)(p+−4)

=(p)(p)+(p)(−4)+(6)(p)+(6)(−4)

=p2−4p+6p−24

=p2+2p−24

8 0
3 years ago
Read 2 more answers
What is the product?
fredd [130]

Answer:

\frac{4k + 2}{k^{2}-4 }  ×  \frac{k-2}{2k+1}   =  \frac{2}{k + 2}

Step-by-step explanation:

\frac{4k + 2}{k^{2}-4 }  ×  \frac{k-2}{2k+1}

To solve the above, we need to follow the steps below;

4k+2 can be factorize, so that;

4k +2 = 2 (2k + 1)

k² - 4  can also be be expanded, so that;

k² - 4 = (k-2)(k+2)

Lets replace  4k +2  by  2 (2k + 1)

and

k² - 4 by  (k-2)(k+2)   in the expression  given

\frac{4k + 2}{k^{2}-4 }  ×  \frac{k-2}{2k+1}

\frac{2(2k+ 1)}{(k-2)(k+2)}   ×  \frac{k-2}{2k+1}

(2k+1) at the numerator will cancel-out (2k+1) at the denominator, also (k-2) at the numerator will cancel-out (k-2) at the denominator,

So our expression becomes;  

\frac{2}{k + 2}

Therefore, \frac{4k + 2}{k^{2}-4 }  ×  \frac{k-2}{2k+1}   =  \frac{2}{k + 2}

3 0
3 years ago
Read 2 more answers
A school determined that about a 67% chance that students will choose chocolate milk over white milk
alexgriva [62]
What the question to this
5 0
2 years ago
Read 2 more answers
A line has a slope of 2 and passes through the point ( -1, 3). Write an equation in slope intercept form
stealth61 [152]

Answer:

y=2x+5

Step-by-step explanation:

The equation of a line in slope intercept form is written as: y=mx +b where m is the slope and b is the y-intercept.

Taking point (-1,3) , m= 2 and imaginary point on the line, (x,y) then ;

m=change is y-coordinates/change in x-coordinate

m=Δy/Δx

m=y-3/x--1

2= y-3 / x+1

2(x+1) = y-3

2x +2 =y-3

2x=y-3-2

2x=y-5

<u>y=2x+5 is the equation.</u>

7 0
3 years ago
Other questions:
  • What kind of problem is this?
    15·1 answer
  • Clear Prints charges $2 per
    7·1 answer
  • Write the equation 4x 2y = 5 in the form y = mx <br> b.
    10·2 answers
  • leo takes 30 minutes to eat dinner 15 minutes to change clothes and 20 minutes to walk to practice.if leo needs to be at hockey
    6·2 answers
  • The sum of the measures of two of the angles formed by the intersection of two lines is 114°. Find the measures of all angles. I
    10·1 answer
  • Write a real world problem for the equation 8x+2=26
    14·1 answer
  • What makes the equation true?<br><br> 5x(8+3) = 5x8 + __ x 3
    5·1 answer
  • If F(x) = 1/2 x²-3, find F(6)<br><br> A. 21<br> B. 3<br> C. 15<br> D. 69
    10·1 answer
  • You borrow $225 for eight years of an interest rate of 6%. How much interest will you pay after eight years?
    10·2 answers
  • PLAS HELP!!<br> For multiple-choice: cubic, quadratic, linear, quintic, quartic
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!