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alexdok [17]
3 years ago
10

Solve 30 = −5(6n + 6), justifying each step with an algebraic property.

Mathematics
1 answer:
Liula [17]3 years ago
7 0
1) property of distribution: 30 = -30n - 30
2) inverse property of addition: 60 = -30n
3) inverse property of multiplication: -2 = n

step 2: subtract 30 from both sides
step 3: divide -30 from both sides
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2x-10/4=3x<br> −10<br> −1<br> 2<br> 11
evablogger [386]

Answer:

<h2>-1</h2>

Step-by-step explanation:

\dfrac{2x-10}{4}=3x\qquad\text{multiply both sides by 4}\\\\2x-10=12x\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\-10=10x\qquad\text{divide both sides by 10}\\\\-1=x\to x=-1

6 0
3 years ago
Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle
mario62 [17]

The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ XYZ

∵ ∠ YXZ is a right angle

∴ The hypotenuse is YZ

∵ The adjacent side to ∠XYZ is XY

∵ The opposite side to ∠XYZ is XZ

∵ YX = 12 units

∵ XZ = 10 units

- Use tan ratio to find the measure of the angle because you

   have the adjacent and opposite sides of the angle XYZ

∵ m∠XYZ is x

∵ tan(x)=\frac{XZ}{XY}

∴ tan(x)=\frac{10}{12}

- To find x use the inverse of tan(x)

∵ x=tan^{-1}(\frac{10}{12})

∴ x = 39.8°

∴ m∠XYZ = 39.81°

The best approximation for the measure of angle XYZ is 39.8°

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
A group of 247 people are traveling in vans to a zoo. The greatest number of people who can travel in
NeTakaya

Answer:

B

Step-by-step explanation:

247 divided by 15 equals 16 and a whole bunch of nunbers

7 0
2 years ago
Ivan has cut 19 pieces of reinforcing bar​ (rebar) that are each 1.14 meters long. What is the total length of the rebar used fo
madreJ [45]

Answer:

The total length of rebar used is  21.66 meters.

Step-by-step explanation:

Given:

Ivan had cut a reinforcing bar in 19 pieces and length of each bar is 1.14 meters.

Number of pieces = 19

Length of each piece = 1.14

We need to find the total length of reinforcing bar.

To calculate the total length we will multiply number of pieces with length of each piece.

Hence,

Total length of rebar = Number of pieces × Length of each piece = 19\times1.14 = 21..66 m

Rounding to nearest hundred = 21.66 m

Hence the total length of reinforcing bar is 21.66 meters.

4 0
3 years ago
Mr. Janson paid for admission to the high school football game for his family. He purchased 3 adult tickets and 2 student ticket
Vilka [71]

Answer: adult ticket : 5.50

Student ticket : 2.75

Step-by-step explanation:

8 0
3 years ago
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