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WINSTONCH [101]
3 years ago
8

Angle one and angle two are a linear pair . M angle one = 3x-30 , and angle two = x+76 . Find the measure of each angle .

Mathematics
1 answer:
ad-work [718]3 years ago
7 0

linear pairs are supplementary so their sum equals 180°

(3x - 30) + (x + 76)  = 180

4x + 46 = 180

4x = 134

x = 33.5

∠1: 3x - 30   = 3(33.5) - 30   = 70.5

∠2: x + 76   = (33.5) + 76    = 109.5

Answer: ∠1 = 70.5°, ∠2 = 109.5°

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Help please, need to show work.
stiks02 [169]

9514 1404 393

Answer:

  3.  m∠A < 80°

Step-by-step explanation:

The exterior angle NGS, marked as 80°, has a measure that is the sum of the measures of the remote interior angles: GAN, GNA.

If we assume that angle measures cannot be zero, then we must have ...

  m∠A +m∠N = 80°

  m∠A = 80° -m∠N

Since m∠N > 0, the measure of angle A must be less than 80°.

This conclusion matches choice 3.

8 0
3 years ago
Given the box plot, will the mean or the median provide a better description of the center? box plot with min at 11, Q1 at 22. 5
Slav-nsk [51]

The median, because the data distribution is skewed to the right.

Given that

The box plot with the following parameters:  

Minimum value at 11,

First Quartile, Q1 at 22.5,

Median at 34.5,

Third Quartile, Q3 at 36,

Maximum value at 37.5.

According to the question

When a distribution has a longer tail to one of its sides, then it is said to be skewed.

Since the tail is longer to the left, it is said to be left-skewed.

The data distribution is skewed to the left because the median (34.5) is closer to the third quartile (36) than to the first quartile  (22.5).

For skewed data, we always prefer the median because it is less affected by the outliers and if the mean is chosen, the value of the mean is biased towards the side that has larger values while the median does not get affected by it. So, we choose the median.

For skewed distributions, the median is the best measure of center.

Hence, the median, because the data distribution is skewed to the right.

To know more about Mean click the link given below.

brainly.com/question/2508120

3 0
3 years ago
How can you use substitution to solve a system of linear equations?
makvit [3.9K]
Step 1:
Solve one of the equations for either x = or y = .
Step 2:
Substitute the solution from step 1 into the other equation.
Step 3:
Solve this new equation.
Step 4:
Solve for the second variable.

Example 1: Solve the following system by substitution
Substitution Method Example
Solution:
Step 1: Solve one of the equations for either x = or y = . We will solve second equation for y.
solution step 1
Step 2: Substitute the solution from step 1 into the second equation.
solution step 2
Step 3: Solve this new equation.
solution step 3
Step 4: Solve for the second variable
solution step 4
The solution is: (x, y) = (10, -5)
Hope this helps!
6 0
3 years ago
An anthropologist studies a woman's femur that was uncovered in Madagascar. To estimate the woman's height, he uses the equation
Lelu [443]

Answer:

The inequality f>40 represents the length of the femur for which the woman had a height greater than 160cm.

Step-by-step explanation:

The given equation is

h=60+2.5f

Where, h is woman's height in centimeters and f is length of the femur in centimeters.

If woman's height is greater than 160cm, then

h>160

60+2.5f>160

Substract 60 from both sides.

2.5f>100

Divide both sides by 2.5.

f>40

Therefore the inequality  f>40 represents the lengths of the femur for which the woman had a height greater than 160cm.

5 0
3 years ago
What is the equation, in point-slope form, for a line that goes through ​ (2, −6) ​ and has a slope of ​ −34 ? plz help
Murrr4er [49]

Answer:

y = -34x + 62

Step-by-step explanation:

<u>Use the point slope form:  (y - y1) = m(x - x1)</u>

<u />

(y - (-6) = -34(x - 2)

y + 6 - 6 = -34x + 68 - 6

y = -34x + 62

Answer:  y = -34x + 62

4 0
3 years ago
Read 2 more answers
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