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
Mademuasel [1]
3 years ago
7

Math help please!

Mathematics
1 answer:
Dovator [93]3 years ago
3 0

Answer:

x || t,         [Given]  

m\angle 16 = m\angle 7     [Given]                      ......[1]

Transversal defined as a line that cuts across two or more Parallel lines.

When two parallel lines are cut by a transversal, then the pairs of corresponding angles are equal in measure.

m\angle 16 = m\angle 1   [Corresponding Angle theorem]     ......[2]

Substitute value [1] in [2] we have;

m\angle 7 =m\angle 1   [Substitution Property]

When two lines are cut by a transversal and the alternate exterior angles are equal in measure, then the lines are parallel.

k || w                     [ By Alternative Exterior Angle Theorem]       Hence proved!

You might be interested in
What are the solutions of -x^2+4x=x-4
Stolb23 [73]

Answer:

x = -1 and x = 4

Step-by-step explanation:

Step 1:  Get everything to one side of the equation so it's set equal to zero..

-x² + 4x = x - 4  becomes...

  -x² + 3x + 4 = 0        (subtract x and add 4 to both sides)

    x² - 3x - 4 = 0  (divide both sides by -1, we want the x² term to be positive)

   (x - 4)(x + 1) = 0          (factor)

      so

x - 4 = 0,    then x = 4

and

x + 1 = 0,   then x = -1  

8 0
4 years ago
After solving -4x -12 = 4x + 12, you get 8x = 0, what is the answer?
Paha777 [63]
The answer of this is x=0
6 0
3 years ago
Consider the function g(x) = sqrt(x + 4) - 6 which function has the same y-intercept as this function?
Inga [223]

Answer:

a)

f(x) = \frac{4}{x-8} - 3.5

Step-by-step explanation:

The y intercept of g(x) is the value of g when x = 0.

In this problem

g(x) = \sqrt{x+4} - 6

The y-intercept is

g(0) = \sqrt{0+4} = \sqrt{4} - 6 = 2 - 6 = -4

a)

f(x) = \frac{4}{x-8} - 3.5

The y-intercept is:

f(0) = \frac{4}{0-8} - 3.5 = -0.5 - 3.5 = -4

This is the correct answer

b)

f(x) = -\frac{4}{x} - 1

The y-intercept is

f(0) = -\frac{4}{0} - 1

This is an asymptote

c)

f(x) = 2|x+2|

The y-intercept is

f(0) = 2|0+2| = 4

d)

f(x) = |x - 4|

The y-intercept is

[tex]f(0) = |0-4| = |-4| = 4.

7 0
3 years ago
In a bag there are 7 red marbles, 10 green marbles, 8 blue marbles, and 11 purple marbles. What is the
san4es73 [151]
8 out of 28 that is the answer
5 0
3 years ago
This graph represents −x−2y=−4 .
alekssr [168]

Answer:

B

Step-by-step explanation:

We have the equation -x-2y=-4 and we want to find which ordered pair is in the solution -x-2y\leq -4

First, let's convert the inequality to slope-intercept form. So, we have:

-x-2y\leq-4

Add x to both sides:

-2y\leq x-4

Divide both sides by -2. Since we're dividing by a negative, we will flip the sign:

y\geq- \frac{1}{2}x+2

Therefore, our original inequality will be the same as above.

Notice that our y is <em>greater than</em> our equation.

Therefore, the shaded area will lie <em>above</em> our line.

So, any point that falls within the region above our line (in the graph) and on the line is a solution to our inequality.

(-4, 1) is below our line, so it's not a solution.

(-1, 4) is above our line. So, (-1, 4) is our answer.

(-4, -1) is again below our line. So, it's not a solution.

Finally, (4, -1) is also below our line, so it's not a solution.

Therefore, our final solution is B: (-1, 4).

Let's check this. Substitute -1 for x and 4 for y. This yields:

-(-1)-2(4)\stackrel{?}{\leq}4

Multiply:

1-8\stackrel{?}{\leq}{4}

Subtract:

-7\stackrel{\checkmark}{\leq}4

So, (-1, 4) is indeed our solution.

And we're done!

6 0
3 years ago
Other questions:
  • After 8 years, what is the total amount of a compound interest investment of$25,000 at 3% interes compounded quarteriy? A. 525.3
    15·1 answer
  • Robs age is twice the sum of Julias age and 10. Rob is 24 years old. Write and solve an equation to determine Julia's age.
    10·1 answer
  • What type of triangle is angle is 118 and is 42 inches
    14·1 answer
  • Solve for m.<br><br> -3 + m<br> ______ = 10<br> 9
    13·1 answer
  • The circumference of the bike tire above is 83.524 inches. What is the radius of the bike tire?
    14·1 answer
  • Determine the median of the following numbers: 8, 11, 11, 12, 13, 15, 16, 16, 18, 21​
    8·2 answers
  • a computer sales associate makes $74 each day that he works and makes approximately $20 in commission for each computer that he
    8·1 answer
  • Consider the fraction 13/40
    14·1 answer
  • Find the value of the variable or the measure of the missing part of each kite BD=
    13·1 answer
  • Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!