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emmasim [6.3K]
2 years ago
12

Two opposite sides of a parallelogram measure 5n-11 and 2n +22. Find the length of

Mathematics
1 answer:
TiliK225 [7]2 years ago
5 0

Answer:

Both sides are 44

Step-by-step explanation:

5n - 11 = 2n + 22

5n - 2n = 22 + 11

3n = 33

n = 11

First Side

5n - 11 = 5 (11) - 11 = 55-11 = 44

Second Side

2n + 22 = 2 (11) + 22 = 44

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Always equals 1. Always!
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True or False: ​ ​a=6 is a solution to the inequality a≥6 ​
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Answer:

true

Step-by-step explanation:

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3. Maria is a veterinarian. She wants to know how the weight of a puppy is related to its length. To find out, Maria randomly se
sweet [91]

Answer:

Part A. I chose points (7,1.3) and (48,9.8)

Part B. a. Positive correlation; b.  y = 0.21x - 0.2

Step-by-step explanation:

Part A.

I chose the first and last points on the line — (7 in, 1.3 lb) and (48 in, 9.8 lb).

That put three points on the line, three above it, and four below.

Part B

a. Type of correlation

There is a positive correlation between the length of a puppy and its weight.

You would expect a longer dog to be bigger and weigh more than a shorter dog.

b.  The equation for the line of best fit

The slope-intercept equation for a straight line is

y = mx + b

where m is the slope of the line and b is the y-intercept.

The line passes through the points (7,1.3) and (48, 9.8).

(i) Calculate the slope of the line

\begin{array}{rcl}

m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = & \dfrac{9.8 - 1.3}{48-9}\\\\& = & \dfrac{8.5}{41}\\\\& = & \textbf{0.21 lb/in}\\\\\end{array}

The slope of the line is 0.21 lb/in.

(ii) Locate the y-intercept

Put the slope and the coordinates of one point into the slope-intercept formula.

\begin{array}{rcl}y & = & mx + b\\1.3 & = & 0.21\times7 + b\\1.3 & = & 1.47 + b\\b & = & -0.2\\\end{array}

The y-intercept is at (0,-0.2)

(iii) Write the equation for the line

y = 0.21x - 0.2

5 0
3 years ago
Multiple Choice Suppose y varies directly as x. if y = 5 when x=8, find y when x=64
Juliette [100K]

Answer:

Step-by-step explanation:

y∞x

then

y=kx (with k as constant)

y=5 when x=8

⇒Putting this in the first equation

⇒5=k×8

⇒k=5/8

Now

y=? when x=64

Putting x=64 in the first equation

y=kx

⇒y=(5/8)×64

We get

y=40

Hope u understand

6 0
4 years ago
A central angle in a circle with a radius of 3cm intercepts an arc with a length of 6cm. What is the radian measure of the centr
Nesterboy [21]
The correct answer for the question that is being presented above is this one: 

Radian Measure can be acquired by using the formula
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