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3 years ago

Use the diagram and the following equation to solve for x.

Mathematics

2 answers:

Lemur [1.5K]3 years ago

8 0

Starting with 113+ (2x+5)=180, combine like terms and to get 118+2x=180. Subtract 180-118, which gives you 62. Then you have 2x=62. Divide both sides by 2 to get a final answer of x=31.

AlladinOne [14]3 years ago

5 0

Hey there!!

Given :

... 113 + ( 2x + 5 ) = 180

Subtract 113 on both sides

... 2x + 5 = 180 - 113

... 2x + 5 = 67

Subtract 5 on both sides

... 2x = 62

Divide by 2 on both sides

... x = 31

The value of x is 31.

Hope my answer helps!!

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Solnce55 [7]

Answer:

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3 years ago

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Montano1993 [528]

Answer:

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2 years ago

Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey

victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

She is standing 48 feet in front of Lester
Carey is sitting to Lester's right
Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

$(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}$

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

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3 years ago

A doctor told his patient to drink 3 full cups and 1/2 of a cup of medicine over a week. If each full cup was 4 1/2 pints,how mu

fenix001 [56]

-3x4.5=13.5. 4.5x0.5=2.25

-13.50
+2.25
_____
15.75 pints

6 0

3 years ago

Input the equation of the given line in standard form.

noname [10]

Answer:

y = 2/3x + 1/3

Step-by-step explanation:

Standard form of a line looks like y=mx+b. We already know that m is 2/3, but we don't know b. b is our y-int. With the given information, we can write this equation is point-slope form. That looks like y - y1 = m(x-x1). (x1, y1) = (1, 1) - the point given to us. So if you plug in that point to the equation, and the slope - m, it'll look like y - 1 = 2/3 (x - 1).

From here, you can just solve for y, and it'll be in standard form. I would distribute 2/3 first.

y - 1 = 2/3x - 2/3

Then, add 1 to both sides.

y = 2/3x + 1/3

4 0

3 years ago