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masha68 [24]
3 years ago
6

Let point L be between M and N on MN. Given that MN=31, ML= h-15 and LN = 2h-8. Find LN

Mathematics
1 answer:
MrRa [10]3 years ago
7 0

Since the distance of MN is 31 and we have a distance of ML of h -15 and LN of 2h – 8, therefore

ML + LN = h -15 + 2h – 8 = 31

 h = 18

substituting the value of h to the expression for LN obtaining

 

LN = 2h – 8

LN = 2(18) – 8

LN = 28

 

Therefore the length of the segment LN is 28 units

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What is the equation of a line that passes through (-6, 2) and has a slope of −1/2 ?
natta225 [31]
Slope = -1/2
(-6, 2)

y - 2 = -1/2 (x + 6)
y - 2 = -1/2x - 3
y = -1/2x -1

answer is B
3 0
3 years ago
What is the value of X?
scZoUnD [109]

Answer:

x = 5

Step-by-step explanation:

ABC is an isosceles triangle

So

<A = <C = 73

<B = 180 - 2 * 73

<B = 180 - 146

<B =  34

Given <B = 6x +4

So

6x + 4 = 34

6x = 30

 x = 5

5 0
3 years ago
Read 2 more answers
Need help with school
denpristay [2]

Answer: 139°

Reasoning:

Angle 3 and 5 are congruent, so you can put their expressions equal to each other and solve.

14x-1=9x+14

To isolate the x to one side, subtract the 9x from the 14x.

5x-1=14

Now to get the constants on one side, add the 1 to the 14.

5x=15

Now divide both sides by 5 to isolate the x.

5x/5=15/5

x=3

Now that we know that, we can figure out angle 3.

9(3)+14

27+14= 41

Angle 3 = 41°

Now that we know what angle 3 is, we can subtract it from 180° to figure out angle 8 since angle 3 and 8 are supplemtary angles, aka linear pairs.

180°- 41°= 139°

<h3>Double checking your answer:</h3>

41°+139°=180°

3 0
3 years ago
Find each number. Round to the nearest tenth if necessary
Pavel [41]

Answer:

  1. 96
  2. 6.9
  3. 25%
  4. 8%
  5. 79
  6. 33.8

Step-by-step explanation:

Here is the complete question: Find each number. Round to the nearest tenth if necessary.

  1. 80% of 120.
  2. 115% of 6
  3. What percent of 128 is 32?
  4. 3 is what percent of 36?
  5. 23.7 is 30% of what number?
  6. 71/2% of what is 12?

1) 80% of 120

= \frac{80}{100} \times 120= 8\times 12

= 96

∴ 80% of 120= 96

2) 115\%\ of\ 6

=\frac{115}{100}\times 6= 1.15\times 6

∴ 115\%\ of\ 6 = 6.9

3) What percent of 128 is 32?

= \frac{32}{128} \times 100

= 25\%

4) 3 is what percent of 36?

= \frac{3}{36} \times 100

= 8\%

5) 23.7 is 30% of what number?

Let the number be "x".

⇒ \frac{30}{100} \times x= 23.7

Cross multiplying

⇒ x= \frac{23.7\times 100}{30}

∴ x= 79.

6) 71/2% of what is 12?

Lets assume the required number be "x".

⇒ \frac{71}{2} \times 100\times x= 12

cross multiplying both side.

⇒x= 33.8

∴ 71/2% of 33.8 is 12

6 0
3 years ago
Write the standard form of the equation of the circle with center (-5,-7) that passes through the point (7,5).
shutvik [7]

Answer:

(x + 5)² + (y + 7)² = 288

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The radius is the distance from the centre (- 5, - 7) to the point on the circle (7, 5)

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (7, 5)

r = \sqrt{(7+5)^2+(5+7)^2} = \sqrt{12^2+12^2} = \sqrt{288}

Hence

(x - (- 5))² + (y - (- 7))² = (\sqrt{288})², that is

(x + 5)² + (y + 7)² = 288

4 0
3 years ago
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