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Ne4ueva [31]
3 years ago
7

Angle 3 and angle 4 form a linear pair. The measure of Angle 3 is four more than three

Mathematics
1 answer:
mel-nik [20]3 years ago
7 0

Answer:

angle 3. ( x ) is 136°

angle 4 ( y ) is 44° !!

Step-by-step explanation:

Let angle 3 be x and angle 4 be y

Given, Angle 3 and angle 4 form a linear pair

x + y = 180 [ sum of linear pair angle is 180 ] ... ( i )

Also, The measure of Angle 3 is four more than three

The measure of Angle 3 is four more than threetimes the measure of angle 4.

x = 4 + 3y .... ( ii )

Putting value of x from ( ii ) in ( i )

4 + 3y + y = 180

4y = 176

y = 44

Also, x + y = 180 => x = 180 - 44 = 136

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For which of the following is the shape of the sampling distribution of the sample mean approximately normal? a random sample of
RSB [31]

Answer:

a random sample of size 5 from a population that is approximately normal

a random sample of size 60 from a population that is strongly skewed to the left.

Step-by-step explanation:

They are both correct

6 0
2 years ago
If 7x - 4y = 23 and x + y = 8, what is the value of x?
Margaret [11]

Answer:

x=5

Step-by-step explanation:

7x - 4y = 23 and x + y = 8

Multiply the second equation by 4

4x + 4y = 32

Add this to the first equation

7x - 4y = 23

4x + 4y = 32

------------------------

11x    = 55

Divide each side by 11

11x/11 = 55/11

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8 0
3 years ago
Read 2 more answers
Are the solutions correct?
Aloiza [94]

Answer:

First one is wrong. x should be 16.

Second one is not completely visible, so cannot say.

Step-by-step explanation:

In the last step, the divison by 4 yields:

x/16 = 1, so x = 16

4 0
3 years ago
A boat is carrying containers that weigh 2000 pounds each.
Lostsunrise [7]

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Write seven and twelve hundredths in standard form.

Step-by-step explanat

6 0
3 years ago
Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?
emmasim [6.3K]

Using <u>linear function concepts</u>, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which represents by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • The explanatory variable fat is the input.
  • The response variable calories is the output.

The equation is:

y = 121 + 1.42x

  • The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
  • The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at brainly.com/question/16302622

8 0
2 years ago
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