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SVEN [57.7K]
3 years ago
11

The perimeter of a rectangle is (10x2).if it's width is (2x-1),which expression represents the length

Mathematics
1 answer:
alexandr402 [8]3 years ago
4 0

Answer: b. 3x + 2

Step-by-step explanation:

2l + 2w = p

2l + 2(2x - 1) = 10x + 2

2l + 4x - 2 = 10x + 2

2l = 6x + 4

l = 3x + 2

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Solve for y in terms of x.
krek1111 [17]

<u>Answer:</u>

y=\frac{3}{2} x+6

<u>Step-by-step explanation:</u>

We are given the following equation and we are supposed to solve y in terms of x. It simpler terms, it means that we have to make y the subject of the equation while x being used in it as it is:

\frac{2}{3} y-4=x

Taking the constant 4 to the side where x is to get:

\frac{2}{3} y=x+4

Multiplying the denominator 3 to the other side of the equation to get:

2y=3x+12

Isolating y to make it the subject:

y=\frac{3}{2} x+\frac{12}{2}\\ \\y=\frac{3}{2} x+6

3 0
3 years ago
An architect wants an artistic flair to the house he is building, so he designs windows that are three fourths of a circle in sh
larisa86 [58]

The amount of rim needed for each window is 141.4 in

<h3>How to find the length of the outer rim?</h3>

Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.

<h3>What is an arc?</h3>

An arc is part of section of the circumference of a circle

<h3>What is the length of an arc?</h3>

So, length of arc, L = Ф/360 × 2πR where

  • Ф = central angle of arc and
  • R = radius of circle.

Gven that for the window rim

  • Ф = angle of the rim = 270° and
  • R = radius of the rim = 30 in

Substituting the values of the variables into the equation for L, we have

L = Ф/360 × 2πR

L = 270°/360° × 2π × 30 in

L = 3/4 × 2π × 30 in

L = 3/2 × π × 30 in

L = 3 × π × 15 in

L = 45π in

L = 141.37 in

L ≅ 141.4 in

So, the amount of rim needed for each window is 141.4 in

Learn more about length of an arc here:

brainly.com/question/8402454

#SPJ1

7 0
2 years ago
The equation of a circle is x2 + (y – 10)2 = 16. The radius of the circle is units. The center of the circle is at .
DENIUS [597]

Answer:

(0, 10)

Step-by-step explanation:

Compare:

x2 + (y – 10)2 = 16 and

(x - h)² + (y - k)² = 4²

The center of the circle is at (h, k), which in this case is (0, 10).

4 0
3 years ago
Read 2 more answers
Can someone help me with this page please I have an exam tomorrow, I need to remember the answers unfortunately :)
zimovet [89]

Answer:

1. B. ∠2 and ∠6

2. 50°

3. Option 1, Option 5, and Option 6.

4. 133°

<u>Work for question 4:</u>

180°-47° = 133°

Step-by-step explanation:

1.

Alternate means the angles are on different sides of the transversal (horizontal line in this case). Interior means they are between the parallel lines (lines a and b in this case). (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles but only the first is an option.

2.

∠10 = ∠8+∠7 (corresponding angles so they are congruent)

∠10 is 140° and ∠8 is a right angle

140-90 = 50

∠7 = 50°

∠4 = 50° (∠7 and ∠4 are vertical angles so they are congruent)

3.

Sense all angles of a triangle add up to 180 and the ratio of angles is 3:3:6 the we can find the angle with the equation x+x+2x=180

Simplify.

4x=180

Solve by dividing 4 from both sides

x=45

so it is a 45, 45, 90 triangle. (right triangle because the 90 and icoceles because other 2 angles are congruent so option 5 is correct)

m∠J= 45°

m∠K= 45° (Option 1 is correct)

m∠L= 90° (Option 6 is correct)

4.

I honestly don't see how you can solve this without making assumptions so I will make assumptions.

Assuming the whole figure is symmetrical vertically ∠1 is congruent to the same spot on the right side of the shape. This angle would be supplementary to the angle of the angle outside of the shape adjacent on the right making the angle (which is corresponding, therefore congruent to ∠2) 133°.

8 0
2 years ago
1. Work in small groups. Perform the experiment described in Sample 1.
zavuch27 [327]

Answer: 12.6

Step-by-step explanation:

3 0
3 years ago
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