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mixas84 [53]
3 years ago
6

15 liters increased by 60%

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0
15 liters increased by 60% is 24 liters.
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PLEASE HELP
stira [4]

Answer:

The values of x and y are x = 3 and y = 11

Step-by-step explanation:

The isosceles triangle has two equal sides in length, and its base angles are equal in measures

In ΔJKL

∵ ΔJKL is an isosceles triangle with vertex K

→ That means the equal sides are JK and KL

∴ JK = KL

∵ JK = 8x and KL = 13x - 15

→ Equate them

∴ 13x - 15 = 8x

→ Add 15 to both sides

∵ 13x - 15 + 15 = 8x + 15

∴ 13x = 8x + 15

→ Subtract 8x from both sides

∵ 13x - 8x = 8x - 8x + 15

∴ 5x = 15

→ Divide both sides by 5 to find x

∴ x = 3

∵ K is the vertex of the ΔJKL

∴ ∠KJL and ∠KLJ are the base angles

∵ The base angles are equal in measures

∴ m∠KJL = m∠KLJ

∵ m∠KJL = 5y - 3

∴ m∠KLJ = 5y - 3

∵ The sum of the measures of the angles of a Δ is 180°

∴ m∠KJL + m∠KLJ + m∠JKL = 180°

∵ m∠JKL = 76°

→ Substitute the measures of the 3 angles in the equation

∴ 5y - 3 + 5y - 3 + 76 = 180

→ Add the like terms on the left side

∵ (5y + 5y) + (76 - 3 - 3) = 180

∴10y + 70 =180

→ Subtract 70 from both sides

∵ 10y + 70 - 70 = 180 - 70

∴ 10y = 110

→ Divide both sides by 10 to find y

∴ y = 11

∴ The values of x and y are x = 3 and y = 11

5 0
2 years ago
Write the equation of the line that passes through the points (4, -3) and
vivado [14]

Answer:

y+3=-5(x-4)

Add 20 characters to explain the point

8 0
3 years ago
What’s the volume of a cylinder with a radius of 6ft and height of 14ft? pls show work
Daniel [21]

Answer:

<em><u>Given </u></em><em><u>-</u></em>

  • <em><u>radius </u></em><em><u>of </u></em><em><u>cylinder </u></em><em><u>=</u></em><em><u> </u></em><em><u>6</u></em><em><u> </u></em><em><u>ft</u></em>
  • <em><u>height </u></em><em><u>of </u></em><em><u>cylinder </u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>4</u></em><em><u> </u></em><em><u>ft</u></em>

Now ,

volume = \pi \: r {}^{2} h \\  =  >  \frac{22}{\cancel{7}}  \times 6 \times\cancel{ 14} \\  \\  =  > 22 \times 6 \times 2 \\  =  > 264 \: ft {}^{3}

hope helpful~

5 0
2 years ago
A boat with some water at its bottom was found leaking again. Assume that water goes into the boat at a constant rate. 3 hours a
ratelena [41]

The Number of people is 12 when time taken is 2 hours.

According to the statement

Time taken when 10 people works is 3 hours

Time taken when 5 people works is 8 hours

Then we have to find the number of peoples when time taken is 2 hours.

So, average time that for which single person works is 180 min/ 10 = 18 min.

It means the average time for single person works is 18 min in case of 10 people.

and one thing is clear that the number of people is greater than 10 people when time taken is 2 hours.

So, The Number of people is 12 when time taken is 2 hours.

Learn more about AVERAGE here brainly.com/question/8728504

#SPJ4

6 0
2 years ago
Find the length of the hypotenuse
pochemuha
The hypotenuse is equal to 6
6 0
3 years ago
Read 2 more answers
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