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3 years ago

Find the values of a, b, and c.

Mathematics

2 answers:

Gre4nikov [31]3 years ago

7 0

Answer:

The correct option is 4.

Step-by-step explanation:

If a transversal line intersect two parallel line, then the alternate interior angles are equal.

$a^{\circ}=36^{\circ}$

The value of a is 36.

The sum of two interior angle is equal to the exterior angle of third vertex.

$77+c=139$

$c=139-77$

$c=62$

The value of c is 62.

If two angles lie on a straight line, then they are supplementary angles and their sum is 180 degree.

$b+c=180^{\circ}$

$b+62^{\circ}=180^{\circ}$

$b=180^{\circ}-62^{\circ}$

$b=118^{\circ}$

The value of b is 118.

Therefore option 4 is correct.

Hunter-Best [27]3 years ago

4 0

You might be interested in

12 x - 13 - x - 9 = 10x = ?

SIZIF [17.4K]

Problems: Answers:

12 x - 13 - x - 9 = 10x x = 22

-15k - 1 + 12 + 2k k = 11/13

10a - 7b + 11 + 8a - b - 12 b = (9 a)/4 - 1/8

7a^2 + 10a - 3a - 2a^2 a = -7/5

-c + 5d + 7c - 11d + d - 3c d = (3 c)/5

x^2 - 3xy - 5xy - 7y^2 + 4x^2 + 8y^2 y = 4 x - sqrt(11) x

3 0

3 years ago

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

asambeis [7]

ANSWER

$x =\frac{3}{ 2}$

EXPLANATION

The given equation is

$y + 3x - 6 = - 3(x - 2)^{2} + 4$

Expand the parenthesis:

$y + 3x - 6 = - 3( {x}^{2} - 4x + 4) + 4$

$y + 3x - 6 = - 3 {x}^{2} + 12x + - 12 + 4$

Write in standard form:

$y = - 3 {x}^{2} + 12x - 3x+ - 12 + 4 + 6$

$y = - 3 {x}^{2} + 9x-2$

where

$a=-3,b=9,c=-2$

The axis of symmetry is given by the formula:

$x = - \frac{b}{2a}$

Plug the values to get:

$x = - \frac{9}{ 2(- 3)}$

$x =\frac{3}{ 2}$

The equation of axis of symmetry is

$x =\frac{3}{ 2}$

7 0

3 years ago

Read 2 more answers

36. Salma has a salary of 6.2 x 10 to the power of 4 dollars per year. Carter has a salary of

ElenaW [278]

Carter's salary is $1.1138⁶ more than Salma's salary.

<h3>How much larger is Carter's salary than Salma's?</h3>

To perform the difference, we need to be able to take a common factor.

We know that Salma's salary is $6.2×10⁴

While Carter's salary is $1.2×10⁶

To get the same common factor, 10⁴, we can divide and multiply Carter's salary by 100, so we get:

$1.2*10^6*\frac{100}{100} = (1.2*100)*(10^6/100) = 120*10^4$

Then Carter's salary is $120*10⁴

The difference between Carter's and Salma's salaries is:

$120*10⁴ - $6.2×10⁴ = $113.8*10⁴

If we return to the scientific notation, we get:

$113.8*10⁴ = $1.1138⁶

This means that Carter's salary is $1.1138⁶ more than Salma's salary.

If you want to learn more about scientific notation:

brainly.com/question/5756316

#SPJ1

3 0

2 years ago

Pleaseeee guys I really need help with this question ASAP !

Mice21 [21]

Any line parallel to the given line will have the same slope as does the given line. Here that slope is -9.

The new line passes thru (-2,5).

Therefore, using the slope-intercept form,

5 = -9(-2) + b. Find b: 5 = 18 + b, so b = -13. The equation of the new, parallel line is then

y = -9x - 13 (answer to first question).

If you want the slope of a line perpendicular to the given line, use the "negative reciprocal" of the slope of the given line as the slope of the new, perpendicular line. Thus, the new slope will be -1/(-9), or (+1/9).

Use the slope-intercept form, with slope = (1/9), to find the line perpendicular to the given line that passes thru the given point. Share your work, please.

6 0

3 years ago

I need help its math

tatiyna

The Only Answer that is Near 157ft is Answer ( 25ft )

Hope this helps Dante -

3 0

3 years ago