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3 years ago

Set 4x equal to x+30 and solve.

Mathematics

1 answer:

prisoha [69]3 years ago

7 0

Answer:

x = 10

Step-by-step explanation:

1) Subtract x from both sides.

4x − x = 30

2) Simplify 4−x to 3x

3x = 30

3) Divide both sides by 3

x = $\frac{30}{3}$

4) Simplify $\frac{30}{3}$ to 10

x = 10

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Help me please. either one is fine.

mestny [16]

7)
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3 years ago

If AC = 14, what is the measure of AD? Round your answer to the nearest hundredth.

nikklg [1K]

Part A

Answer: Choice D) $\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}$

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Explanation:

Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3

Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3

Apply the pythagorean theorem to find hypotenuse AD

$(\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\$

This points to choice D as the final answer.

===========================================================

Part B

<h3>Answer: 7.07</h3>

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Explanation:

If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.

Since AE = 2n+5, we can solve for n like so

2n+5 = 7

2n = 7-5

2n = 2

n = 2/2

n = 1

Then we can find the length of AD

$\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\$

Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.

7 0

3 years ago

Simple geometry that I don’t know cuz I’m a dum dum

nevsk [136]

X=15

you do 2(5x-5)=(6x+50) and simplify, then you get x=15.

y=7

Once again, you do (5y+5)=(7y-9) and simplify. you get y=7.

please leave a thanks and mark brainliest if you can

6 0

3 years ago

Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is

Sedaia [141]

Answer:

x + y = 29, 5x + 2y = 100

Step-by-step explanation:

First, create an equation based on how there are 29 problems on the test.

x + y represents all of the questions on the test, so it should be set equal to 29.

The first equation is x + y = 29.

Now, create an equation based on how the test is worth 100 points.

5x will represent the points from the questions worth 5 points, and 2y will represent the points from the questions worth 2 points.

These terms will be added together, and set equal to 100.

The second equation is 5x + 2y = 100.

So, the system of equations is x + y = 29, 5x + 2y = 100

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3 years ago

1% of 800 is......<br> And 2% of 800 is....

AfilCa [17]

Answer:

1% of 800 is 8, while 2% of 800 is 16

Step-by-step explanation:

Please mark brainliest :)

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3 years ago

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