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4 years ago

If k is parallel to l find the value of a and the value of b.

Mathematics

1 answer:

kipiarov [429]4 years ago

3 0

Answer:

a = 30

b = 40

Step-by-step explanation:

This requires that you use a proportion.

a / (a + 15) = 40 / 60

The small triangle's sides are in proportion to the large triangles sides.

Reduce the right. Divide top and bottom by 20

a/(a + 15) = 40/20 // 60/20

a/(a + 15) = 2/3

Cross multiply

3a = 2(a + 15) Remove the brackets on the right.

3a = 2a + 30

Subtract 2a from both sides

3a-2a = 30

a = 30

Find B

b is done exactly the same way.

b/(b+20) = 2/3

3b = 2b + 40

3b - 2b = 40

b = 40

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64 POINTS AWARDED, PLEASE ANSWER ASAP!!!!!

antoniya [11.8K]

Answer:

Area of rectangle = 40 square units

Step-by-step explanation:

Points to remember

Distance formula

Length of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Area of rectangle = Length * Breadth

To find the length and breadth

Here a rectangle with vertices at (7, 3), (12, 3), (12, 11), and (7, 11)

Length1 = √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 7)² + (3 - 3)²] = √5² = 5

Length2 = √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 12)² + (11 - 3)²] = √8² = 8 units

Therefore Length of rectangle = 8 and

Breadth of rectangle = 5 units

To find the area of rectangle

Area = Length * Breadth

= 8 * 5 = 40 square units

8 0

3 years ago

Read 2 more answers

15 + (5-x)/x=30 solve for x

elixir [45]

Answer:

5/16

Step-by-step explanation:

15+(5-x)/x=30

1) Subtract 15 from both sides:

(5-x)/x=15

2) Multiply both sides by x:

5-x=15x

3) Add x to both sides:

16x=5

4) Divide both sides by 16:

x=5/16

8 0

3 years ago

Last month you went on three hikes. One hike was 2 3/4 miles long, one was 1 1/2 miles long, and the other was 3 3/8 miles long

solniwko [45]

2 6/8 + 1 4/8 + 3 3/8
2 + 1 + 3 = 6
6/8 + 4/8 + 3/8 = 13/8
So 6 13/8 or 7 5/8

8 0

3 years ago

What is the equation of the horizontal line that passes through (-4, 6)

inessss [21]

Answer:

The answer would be y=6

Step-by-step explanation:

This is because when we are looking at horizontal lines, we look at the y-coordinate to determine a line because the y-axis is what determines height.

If you liked my answer, please consider giving me a Brainliest!

6 0

4 years ago

Do you know works at a dinner she earn six dollars each hour plus tips in one week she worked 37 hours a week and earned 43 tips

lukranit [14]

Answer:

265

Step-by-step explanation:

The computation of the amount that should be make out together is shown below:

Let us assume the number of hours be x

And, the total money earned be y

Now the equation would be

y = 6x + 43

= 6(37) + 43

= 265

5 0

3 years ago