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denis23 [38]
1 year ago
11

12) -6n – 20 = -2n +4(1 – 3n) What’s the first step

Mathematics
1 answer:
EastWind [94]1 year ago
4 0

Answer:

n = 3

Step-by-step explanation:

-6n - 20 = -2n + 4 (1-3n)

First distribute the 4 (1-3n)

-6n - 20 = -2n + 4 - 12n

Combine like terms on the right side

-6n - 20 = -14n + 4

Get 'n' on one side by adding -6n to both sides

-20 = -8n + 4

Subtract 4 to both sides

-24 = -8n

Divide -8 to both sides

3 = n

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Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right
Jet001 [13]

Answer:

Option B.

Step-by-step explanation:

It is given that ΔSRQ is a right angle triangle, ∠SRQ is right angle.

RT is altitude on side SQ, ST=9, TQ=16 and SR=x.

In ΔSRQ and ΔSTR,

m\angle S=m\angle S           (Reflexive property)

m\angle R=m\angle T           (Right angle)

By AA property of similarity,

\triangle SRQ\sim \triangle STR

Corresponding parts of similar triangles are proportional.

\dfrac{SR}{SQ}=\dfrac{ST}{SR}

Substitute the given values.

\dfrac{x}{9+16}=\dfrac{9}{x}

\dfrac{x}{25}=\dfrac{9}{x}

On cross multiplication we get

x^2=25\times 9

x^2=225

Taking square root on both sides.

x=\sqrt{225}

x=15

The value of x is 15. Therefore, the correct option is B.

7 0
2 years ago
Read 2 more answers
If five friends want to share 1.25 of a pizza evenly how much pizza would each person get
Amanda [17]

1.25 /5

12/5 = 2  with 2 left over

25/5 = 5

2 numbers

1.25 /5 = .25

Each person gets .25 of a pizza

4 0
2 years ago
Read 2 more answers
1.How much taller Porter is than Henry, given that Porter is n inches tall and Henry is m inches tall. 2.How many times as tall
EleoNora [17]

Answer:

Porter is n-m inches taller than Henry.

Porter is \frac{n}{m} times taller than henry.

Step-by-step explanation:

The difference in height can be found using subtraction.

Since Porter is taller than Henry, we'll subtract away Henry's height from Porter's height. This will leave us with only the difference between the heights.

n = Porter's height

m = Henry's height

Difference in height is thus:

n-m

Answer: Porter is n-m inches taller than Henry.

To find out how many times taller Porter is than Henry, we can use division.

An example: if Porter was 200cm, and Henry was 100cm, Porter is obviously 2 times as tall.

If we divide Porter's height by Henry's height...

\frac{200}{100}=2

..we'll get 2. This is because Henry's height "fits in twice" in Porter's height. 100 fits twice in 200.

Using our values, n and m, we'll divide n by m.

\frac{n}{m}

Answer: Porter is \frac{n}{m} times taller than henry.

3 0
2 years ago
Carla can choose two of her three pairs of sneakers to take to a track meet. If the pairs of sneakers are called A, B, and C, wh
Semenov [28]
Number of ways of choosing two pair of sneakers from three pairs named A, B, C is given by 3C2 (3 combination 2) = 3! / 2!(3 - 2)! = 3! / (2! x 1!) = (3 x 2) / (2 x 1) = 3.

Therefore, the sample space is given by S = {AB, AC, BC}
5 0
2 years ago
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Line l has a slope of 2. The line through which of the following pair of points is perpendicular to l?
djverab [1.8K]

Answer:

D

Step-by-step explanation:

If two lines are perpendicular, the products of their slopes will be -1. Therefore, we're looking for a line with slope of -1/2. Let's check each answer:

A: 5 - 3 / (-2 - 3) = 2 / -5    

B: 6 - 5 / 6 - 5 = 1

C: 5 - 3 / 4 - 3 = 2

D: 4 - 3 / 3 - 5 = -1/2

The answer is D.

8 0
2 years ago
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