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irinina [24]
3 years ago
10

Can someone show me step by step?

Mathematics
1 answer:
OLEGan [10]3 years ago
5 0

Answer:

AB = JK = 49

Step-by-step explanation:

Since ABC = JKL

We know the length of AB has to equal the length of JK.

AB = JK

14x+7 = 5x+34

Subtract 5x from each side.

14x-5x +7 = 5x-5x+34

9x+7 = 34

Subtract 7 from each side

9x+7-7 = 34 -7

9x = 27

Divide each side by 9.

9x/9 = 27/9

x =3


AB = 14x+7

Substitute x=3

      14(3) +7

      42+7

AB =    49

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Line segments that have the same length, or angle that have the same measure are called ?​
olganol [36]

Answer:

Congruent segments Step-by-step explanation:

4 0
3 years ago
Write the phrase as an expression. Then evaluate the expression when x = 5.
Nadusha1986 [10]

Answer:

6 + 8x

46

Step-by-step explanation:

1. Write the expression

6 + 8x

2. Plug in 5 for x

6 + 8(5) → 6 + 40 = 46

6 0
3 years ago
Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y). A) 8x + 10y B) 8x - 10y C) 8x − 7y D) −8x + 10y
labwork [276]

(12x + 9y) + (-2y) - (4x - 3y)

= 12x + 9y - 2y - 4x + 3y

= 12x - 4x + 9y - 2y + 3y

= 8x + 10y

A) 8x + 10y

3 0
3 years ago
Read 2 more answers
During which time period does Landon's elevation change the fastest? Explain how you know?
bogdanovich [222]
<h3>1. How many inches per minute does London's elevation change between 4 minutes and 8 minutes. </h3>

The question actually asks for the slope of the line that stands for the points (4,3) \ and \ (8,6) why? because the questions tells us that London's elevation changes between 4 minutes and 8 minutes here. Hence, to find the slope of this line we have to use the following formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ But: \\ \\ P(x_{1},y_{1})=P(4,3) \\ P(x_{2},y_{2})=P(8,6)

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ But: \\ \\ P(x_{1},y_{1})=P(4,3) \\ P(x_{2},y_{2})=P(8,6) \\ \\ So: \\ \\ m=\frac{6-3}{8-4}=0.75in/min

<em>So London's elevation changes 0.75 inches per minute</em>

<em></em>

<h3>2. During which time period does London's elevation change the fastest?</h3>

The greater the absolute value of the slope of the line the faster London's elevation changes. Since this is a Piecewise function, we must analyze each period.

  • FIRST:

→ Between 0 minutes and 4 minutes the function is constant, so there is no any change here.

→ Between 10 minutes and 14 minutes the function is constant, so there is no any change here.

→ Between 18 minutes and 22 minutes the function is constant, so there is no any change here.

So the solution is not in these parts of the function.

  • SECOND:

→ Between 4 minutes and 10 minutes the function has a positive slope, so there is change here.

In the previous item we calculated the slope between 4 and 8 minutes that is the same slope between 4 and 8 minutes and equals 0.75.

→ Between 14 minutes and 18 minutes the function has a positive slope, so there is change here.

Let's take two points here, say, (16,5) \ and \ (18,3)

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ But: \\ \\ P(x_{1},y_{1})=P(16,5) \\ P(x_{2},y_{2})=P(18,3) \\ \\ So: \\ \\ m=\frac{3-5}{18-16}=-1 in/min

As you can see, the absolute value here is 1 that is greater than 0.75.

<em>In conclusion, London's elevation changes the fastest between 14 and 18 minutes</em>

7 0
3 years ago
Factoring using GCF 15cd + 30c^2d^2
olchik [2.2K]

Answer:

15cd(1 + 2cd)

Step-by-step explanation:

greatest common factor is 15cd

15cd*1 + 15cd*2cd\\= 15cd(1 + 2cd)

8 0
2 years ago
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