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
Pie
2 years ago
13

If <3 and <4 are vertical angles and m<3=9x+5 and m<4=5x+33 find <4

Mathematics
1 answer:
KatRina [158]2 years ago
6 0

Answer:

<em>68 degrees</em>

Step-by-step explanation

If <3 and <4 are vertical angles, then <3 = <4

This means that

9x + 5 = 5x + 33

9x - 5x  = 33 - 5

4x = 28

x = 28/4

x = 7

Since <4 = 5x+ 33

<4 = 5(7) + 33

<4 = 35 + 33

<4 = 68 degrees

<em>Hence the measure of <4 is 68 degrees</em>

You might be interested in
Complete the table of values for the equation, 16x + 4y = 12.
Ann [662]

The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).

<h3>Linear Function</h3>

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

  • a= the slope;
  • b=the constant term that represents the y-intercept.

The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x  for finding the values of y.

Thus,

  • For x= -2,  the value of y will be:

       16*(-2)+4y=12

      -32+4y=12

      4y=12+32

     4y=44

      y=11

  • For x= -1,  the value of y will be:

         16*(-1)+4y=12

  • -16+4y=12
  • 4y=12+16
  • 4y=28
  • y=7
  • For x= 0,  the value of y will be:

         16*(0)+4y=12

  • 0+4y=12
  • 4y=12
  • 4y=12
  • y=3
  • For x= 1,  the value of y will be:

         16*(1)+4y=12

  • 16+4y=12
  • 4y=12-16
  • 4y=-4
  • y= -1
  • For x= 2,  the value of y will be:

         16*(2)+4y=12

  • 32+4y=12
  • 4y=12-32
  • 4y=-20
  • y= -5

Read more about the linear equation here:

brainly.com/question/1884491

#SPJ1

7 0
1 year ago
Need help with cross multiplying
saw5 [17]
So to solve for this, we need to set up proportional fractions, which I will help show you how to do.
First, if we are given an amount out of a total, we need to put it over x (if we are looking for the total). It looks like this:
12/x, 12 being the given number and x being the total.
If we are given the total but are looking for an amount, put the total at the bottom of the fraction (aka the denominator). It looks like this: x/16, 16 being the total amount and x being the amount out of the total.
We have a total of 40 test problems, so we can put our total at the bottom, x/40.
X is the amount of questions answered correctly (we are looking for x in the question).
We have answered 80% correct, so put 80% over 100 (100 being the total). It should look like this: 80/100.
Now we have our two fractions: x/40 & 80/100.
Set these up as an equation.
x/40 = 80/100.
Now this is where things may get tricky if you don't pay attention.
Multiply the numerator (the top number of a fraction) of x/40 by the denominator (the bottom number of a fraction) of 80/100.
Your product equation should look like this:
x times 100. This will give is 100x. Leave it at that.
Now, multiply the denominator of x/40 (the bottom number of the fraction) by the numerator (the top number of a fraction) of 80/100. It should look like this:
80 x 40. This will give us 3200.
Now set up our products as an equation.
100x = 3200.
To solve for x, divide both sides by 100.
3200/100 = 32.
x = 32.
I hope this helps and has taught you something!
4 0
3 years ago
The total cost of 4 starfish was $7.20. Write and solve an equation to find how much one starfish cost.
Lyrx [107]

Answer:

$1.80

Step-by-step explanation:

4x = 7.20

x = 1.80

7 0
2 years ago
Solve the formula d = rt for t when d = 280 and r = 40
iragen [17]

Answer:

7

Step-by-step explanation:

280=40t/40

t=7

4 0
3 years ago
Write a quadratic equation in standard form that has two solutions, -9 and 3
erastovalidia [21]
So for this you need the two solutions to be x= -9 and x=3 then move over the numbers and put in brackets (x+9)(x-3) then multiply together x^2+9x-3x-27 then combine like terms to get x^2+6-27
8 0
3 years ago
Other questions:
  • NEED HELP ASAP<br><br>(5,-17), (-6,3) <br><br> find the slope
    15·1 answer
  • David finds a marble and measures the radius to be 30 millimeters. What is the volume of the marble? (use the word "cubic" to de
    6·1 answer
  • Tell whether the ratios form a proportion 1/3 and 7/21
    6·1 answer
  • Sofia wrote three numbers between 0.77 and 0.78 what numbers Sofia
    11·1 answer
  • How does the parametric form help solve qx + rx = s for x ?
    6·1 answer
  • 1.<br> 4 sides equal sides and 4 right angles:<br> 4 sides equal sides and 4 right angles
    15·1 answer
  • Miguel and Beth like to play video games together. Miguel has m video games, and Beth has b video games. Miguel has
    15·2 answers
  • Yaniq has these two spinners.
    12·1 answer
  • What is the degree of the polynomial :
    7·2 answers
  • Compare the graph of y=3(x-3)^2+6 to the graph of y=x^2. Which most accurately describes the translation
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!