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Anika [276]
3 years ago
10

8. Find the value of x so that line mis parallel to line l. (1 p (3x+21)° (4x-7)

Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer: The value of x is 28.

Step-by-step explanation:

Since line m is parallel to line l.

So, we assume that

(3x+21)° and (4x-7)° are corresponding angles.

And we know that , corresponding angles formed when a transversal cut the  parallel line are equal.

So, they must be equal to each other.

3x+21=4x-7\\\\21+7=4x-3x\\\\28^\circ=x

Hence, the value of x is 28.

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last week, 4/5 of the students in Mr. Zanker's class went on a field trip. 9/10 of the students in Mr. Haynes's went. What is th
Svetradugi [14.3K]

The average fraction of the students in the two classes is 17/20.

<h3>What is a fraction?</h3>

A fraction is a ratio of two integers called the numerator and denominator.

Analysis:

sum of the fraction of both students in the two classes = 4/5 + 9/10 =

LCM of the denominators which are 5 and 10 is 10

  so the sum of both fractions = 8/10 + 9/10 = 17/10

The average = 17/10 /2 = 17/10 x 2 = 17/20

In conclusion, the average of the fraction of students on both classes is 17/20.

Learn more about fractions: brainly.com/question/78672

#SPJ1

6 0
2 years ago
The Lewis family and the Martin family each used their sprinklers last summer. The water output rate for the Lewis family's spri
MrRa [10]

Answer:

Martin family: 20 hours

Lewis family: 35 hours

Step-by-step explanation:

Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .

We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350

L + M = 55

30 * L + 15 * M = 1350

One way to solve this would be to solve for L in the first equation and substitute that into the second

subtract M from both sides in the second equation

55 - M = L

30 * (55-M) + 15 * M = 1350

30 * 55 - 30 * M + 15 * M = 1350

1650 - 15M = 1350

subtract 1650 from both sides to isolate the M and its coefficient

-15M = -300

divide both sides by -15 to isolate M

M = 20

L = 55-20 = 35

6 0
3 years ago
The ratio of pounds of vegetables to pounds of protein on the dinner plate is 5 to 2. IF
leva [86]

Answer:

10 lbs

Step-by-step explanation:

25 is to 5    as   x is to 2

25/5 = x/2

2 * 25/5 = x = 10 lbs

8 0
2 years ago
Plot (−2 3/4, −4 1/2) on the coordinate plane.
Makovka662 [10]
Because -2 3/4 is on the x axis, it is the diagonal one, -4 1/2 is on the y axis it’s vertical.

The first number is x, the second is y.

Brainliest answer please?

7 0
2 years ago
What is the surface area of the triangular pyramid shown? Round to the nearest tenth.
Sloan [31]

Answer:

A. 57.6

Step-by-step explanation:

6 times 5.2 is 31.2. 4 times 5 is 20. 6 times 5 is 30. 6 times 5 is 30. (31.2/2)+(20/2)+30= 55.6 Then you round nearest tenth. 57.6.

8 0
3 years ago
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