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Sergeeva-Olga [200]
3 years ago
13

For what value of x is line a parallel to line b (9x+11)

Mathematics
1 answer:
Helga [31]3 years ago
6 0

Answer:

15

Step-by-step explanation:

124° + 9x + 11 = 180 ➡ 9x = 135° ➡ x = 15

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The coordinates of AB are A(-5, -1) and B(-2, -6). If AC : CB = 3 : 7, what are the coordinates of point C?
bixtya [17]

\text{Let the coordinates of AB are }A(-5,-1), \text{ and }B(-2, -6)\\
\\
\text{let the coordinate of th point C be (x, y), such that}\\
\\
AC:CB=3:7\\
\\
\text{By the section formula, we know that if P(x,y) lies on a line segment AB}\\
\text{where, }A(x_1,y_1), \ B(x_2,y_2)\text{ and satisfy the ratio, }AP:PB=m:n, \text{ then}

P=\left ( \frac{mx_2+nx_1}{m+n}, \ \frac{my_2+ny_1}{m+n} \right ).\\
\\
\text{So using this formula, we get for the given problem}\\
\\
C=\left ( \frac{3(-2)+7(-5)}{3+7}, \ \frac{3(-6)+7(-1)}{3+7} \right )\\
\\
\Rightarrow C=\left ( \frac{-6-35}{10}, \ \frac{-18-7}{10} \right )\\
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\Rightarrow C=\left ( \frac{-41}{10}, \ \frac{-25}{10} \right )\\
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\Rightarrow C=\left ( -4.1, \ -2.5 \right )

Coordinates of the point C is: (-4.1, -2.5)

6 0
3 years ago
Last year Alex earned a monthly salary of $250,and Ben earned monthly salary of $180. This year, each of them received a pay inc
iragen [17]

Answer:

$87.5  more did Alex earn in one month than Ben

Step-by-step explanation:

As given

Last year Alex earned a monthly salary of $250,and Ben earned monthly salary of $180.

This year, each of them received a pay increase of 25% .

25% is written in the decimal form.

= \frac{25}{100}

= 0.25

Increase in the Alex salary this year = 0.25 × Last year salary

                                                             = 0.25 × 250

                                                             = $62.5

Total amount of Alex salary this year for one month = Last year salary + Increase in the Alex salary this year

                                                                                      = 250 + 62.5

                                                                                      = $ 312.5

Thus the salary earn by the Alex this year for a month be $312.5.

Increase in the Ben salary this year = 0.25 × Last year salary

                                                             = 0.25 × 180

                                                             = $45

Total amount of Ben salary this year for one month = Last year salary + Increase in the Ben salary this year

                                                                                      = 180 + 45

                                                                                      = $ 225

Thus the salary earn by the Alex this year for a month be $ 225 .

Amount Alex earn in one month than Ben = Total amount of Alex salary this year for one month  - Total amount of Ben salary this year for one month

Putting the values in the above

                                                                    = $ 312.5 - $225

                                                                    = $ 87.5

Therefore $87.5  more did Alex earn in one month than Ben .

7 0
3 years ago
Please help!! thanks!
svetlana [45]

Answer:

A.) Yes

Step-by-step explanation:

Plug in (3,2) into both equations ....

2(3) - 3(2) = 0

2(3) + 2 = 8

Then solve ....

2(3) - 3(2) = 0

6 - 6 = 0

0 = 0

2(3) + 2 = 8

6 + 2 = 8

8 = 8

Since both equation are true the solution (3,2) is true

3 0
3 years ago
A family is ordering grass sod for a portion of their backyard as shown in the diagram. How many square yards of grass sod do th
Darina [25.2K]

I believe the answer would be 42


4 0
3 years ago
Read 2 more answers
3x + 2 = 32<br> What is x?
Flauer [41]

Answer:

x = 10

Step-by-step explanation:

3x + 2 = 32

=> 3x = 30

=> x = 10

Hoped this helped.

8 0
2 years ago
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