If l, m, and n are parallel, solve for x. Type in numerical values only, do not type in x=

Answers

Answer 1

Answer:

x = 11

Step-by-step explanation:

According to proportionality theorem, the transversal is divided proportionally as it cuts across parallel lines l, m, and n.

Therefore:

[tex] \frac{12.8}{x + 5} = \frac{x - 3}{10} [/tex]

Cross multiply

[tex] (12.8)(10) = (x + 5)(x - 3) [/tex]

[tex] 128 = x^2 - 3x + 5x - 15 [/tex]

[tex] 128 = x^2 + 2x - 15 [/tex]

[tex] 0 = x^2 + 2x - 15 - 128 [/tex]

[tex] 0 = x^2 + 2x - 143 [/tex]

Factorise:

[tex] 0 = x^2 - 11x + 13x - 143 [/tex]

[tex] 0 = x(x - 11) +13(x - 11) [/tex]

[tex] 0 = (x - 11)(x + 13) [/tex]

x = 11 or x = -13

We'd take the positive value.

Therefore, the value of x is 11.

Related Questions

What is the length of segment TQ?

Answers

Answer:

14 units

Step-by-step explanation:

4x-1=15

x=4

3x+2=14

discriminate of 2x2 – 9x + 2 = –1

Answers

Answer:

The discriminant is less than 0, so there are two complex roots.

Step-by-step explanation: i think

is -|42| positive bc like all absolute value is positive or like negative bc like the negative sign is outside of the absolute value bars

Answers

Answer:

everything inside is potssiise but it doesn't affect the sorrouding ones

Hayley is filling a tank with water. She measures the depth, in inches, of the water in the tank at the end of each hour for 8 hours. Hayley writes the equation y = 10x + 6 to describe the depth of the water in the tank (y) at the end of each hour (x). Which graph shows the depth of the water in the tank at the end of each hour?

Answers

Answer:

the top left

Step-by-step explanation:

$64 for four video games
What is the ratio and unit rate

Answers

Answer:

16 for each video game

Step-by-step explanation:

The unit rate is 16x

the ratio is 16:1

The slope is y=16x

Answer:

The ratio: $65:4

The unit rate: 16.25:1

Step-by-step explanation:

The ratio is money to video games.

The unit rate is how much money each video games cost.

Bob baked 175 brownies to give seven of his friends if he splits the brownies evenly and keeps none for himself how many brownies will each friend get

Answers

Each friend will get 25 brownies each!!!!

Answer:

Step-by-step explanation:

175 ÷ 7 = 25

What is the sum of:
-11.5 (3.2) =
Please answer

Answers

Answer:

Step-by-step explanation:

you multily the negative by the positive and get a negative answer so -36.8

Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?

Answers

Answer:

$58.33

Step-by-step explanation:

Set up a proportion where x is the amount she makes for 7 hours:

[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]

Cross multiply and solve for x:

3x = 175

x = 58.33

So, after working for 7 hours, she will make $58.33

Answer:

About 60-65$

Step-by-step explanation:

Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3

Write a recursive sequence for the following:
27, 33.5, 40, 46.5

Answers

Your answer is It adds by 6.5

Which ratio is equivalent to 3:9?
O 24:54
O 18:54
O 36:81

Answers

answer: 18:54
:))) have a good day.

(x-3)2 = 4x
Which of the following is a value of x that satisfies the equation above?

Answers

Answer:

x=-3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

2(x - 3) = 4x

2x - 6 = 4x

2x - 4x = 6

-2x = 6

x = -3

I hope this helps you :)

Mr. Moore has 5 1/4 pounds of dry fish food. He will be putting an equal amount of food into 3 containers. How much fish food will be in each container?

Answers

5 and 1/4 can be 5.25 so all you have to do is divide that by 3 and you’ll get 1.75 per container.

If you wanted to keep it as a fraction, 5 and 1/4 would become 21/4 (you do 5 x 4= 20 + 1) and for fractions I always remembered dividing as ‘Keep, Change, Flip’ so you would do 21/4 for keep. Change would be to change the sign from division to multiplication. And for Flip you would flip 3 over 1 (3/1) to 1/3

Putting that all together would be 21/4 x 1/3 which also equals 21/12 by multiplying the denominators and numerators. Then you simplify, dividing it by 3 to equal 7/4 and another simplify to be 1 and 3/4 which is 1.75.

Hope this helps!

Which could be the first step in solving the equation represented by the model below?

A. Add 4 negative unit tiles to both sides.
B. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
C. Add 4 positive unit tiles to both sides.
D. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.

Answers

Answer: A. Add 4 negative unit tiles to both sides.

Step-by-step explanation: Hope this helps

Will sells 35 L of milk in a day how many liters of milk will be sold if he has
to sell 125% more milk per day

Answers

Answer:

i think it is 43.75

Step-by-step explanation:

Either that or 39.375

(Sorry I couldn't answer in more detail. Please don't get mad at me)

Answer:78.75

1.25×35=43.75

43.75+35=78.75

I hope this is good enough:

Naomi can run 12 miles in 108 minutes. She is thinking about running in two different races, a 9-mile race and a 13-mile race. At her current rate, how many more minutes will it take her to complete the 13-mile race than the 9-mile race?

$______
PLEASE HELP I"LL GIVE BRAINLEST DUE AT 11:59

Answers

Answer:

Step-by-step explanation:

It takes her 9 minutes to run one mile

9*9=81

13*9=117

117-81=36

Hope this helps! :)

WILL MARK BRAINLIEST PLEASE HELP

Answers

Slope is 6 you can fine this by using the slope formula of rise over run or you can just in this equation divide the y by the x coordinate to find the slope of 6

Is 9% of 998 pages less or larger HURRYYYYYYYY

Answers

Less than, Have Ah Good Day

Answer:

less that is it have good day

i need help please
its pretty urgent

Answers

~A ~Because you multiply five times D equals 5D +5×1=5

Use the scatter plot to fill in the missing coordinate of the ordered pair?

Answers

Answer:

Pairs (0, 14) and (10, 0)

brfhhhhhdnbhfjekgutfjdkkkkkkkkkkknhuuefdknmsncejftgrjkfdm,c

Answers

Answer:

i think your answer is B

Step-by-step explanation:

A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
Pls Answer and I shall give u a- Thank You - Vielen Dank

Answers

Answer:

it would be 0.64

Step-by-step explanation:

The total coast of a ski trip is $315 with a literal equation of 315=85x+60 how many ski trips can you take

Answers

Answer:

Three

Step-by-step explanation:

Minus 60 from both side

255=85x

Divide both sides by 85

3=x

Using the order of operations, what should be done first to evaluate (-4) +6-(-3-4) (2) - 5?
VX
© Subtract 5 from 2.
Divide 6 by-3.
0 Add-3 and 4
O Multiply 4 and 2

Answers

The -3-4 that should be done first

Answer:

The answer is Add -3 and 4 should be done first

PLEASE HELP DUE SOON!!!
Jordan is mowing lawns to save money for the Camp Rodeo Field Trip. The total cost for the excursions, travel, and food will be $130. Jordan has already saved $50. Which of the following equations represents how much more money Jordan needs to save in order to go on the field trip?

A. x + 50 = 130

B. x - 50 = 130

C. x - 130 = 50

D. x = 50 + 130

Answers

Answer:

X + 50 = 130

Step-by-step explanation:

This is actually a subtraction equation although addition is how you set it up initially. X is the variable. You already have $50. You need $130.

To solve, subtract 50 from each side,

X + 50 - 50 = 130 - 50, and simplify,

X = 120.

Jordan will need $120 more to go to the Camp Rodeo Field Trip.

Hope this helps.

Harrison has 70 CDs in his music collection.
If 30% of the CDs are country music and 50% are pop music, how many CDs are other types of music?
There are
CDs that are other types of music.

Answers

Answer:

Step-by-step explanation:

First, find the percentage of the other types of music.

Since 30 + 50 = 80, the other 20% will be other music.

To find 20% of 70, multiply 70 by 0.2:

70(0.2)

= 14

So, there are 14 CDs that are other types of music.

the cytlindrical part of an architectrual column has height of 325cm and a diameter of 30cm. Find the volume of the cytlindrical part of the column. use 3.14 and round your answer to the nearest cubic centimeters if needed

Answers

229612.5 cm
To find the volume of a cylinder you have to use this equation V= (3.14)r^2h The (r) representing the radius and the (h) of representing the height It’s and to find Radius from diameter you have to find half of the diameter.

Answer:

Step-by-step explanation:

229,613 cm ^3 took test.

the ratio of two supplementary angles is 3:6. what is the measure of the smaller angle?

10, 20, 30, or 60?

Answers

Answer:

it's so hard bro I can't anser

HELP PLS! After u find the length of P explain the reasoning you used and I’ll give u brainliest!!

Answers

Answer:

30 yd

Step-by-step explanation:

First find the area of the current parking lot:

(20X10)-(4x5)=

200-20=180 yd²

We know the new part is 10-4 yards wide, so 6.

180÷6=30yd

So the length of P is 30 yd.

y=1/4 x y=4x-5 parallel perpendicular neither

Answers

Answer:

Neither.

Step-by-step explanation:

The slope for the first one is 1/4 and the slope for the second one is 4. These are reciprocals, but not opposite reciprocals, meaning they are not perpendicular. An opposite reciprocal means the fraction is flipped (ex. 3/1 to 1/3) and the sign is changed. The line parallel to y=1/4x would be y= -4x.

Answer:

Neither

Step-by-step explanation:

There are 30 students Ms. Washington’s class. Sixteen of the students are in band. What percent of Ms. Washington’s class is in band?

Answers

Answer: 53.33

Step-by-step explanation:

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