Geometry:
Find the measure of angle B. 120, 22x+4, 15x+5
Geometry: Find the measure of angle B. 120, 22x+4, 15x+5 - 1

Answers

Answer 1
Answer:

Final answer:

To find the measure of angle B, set up an equation using the information given, solve for x, and substitute it back into the expression for angle B. The measure of angle B is 33.3256 degrees.

Explanation:

To find the measure of angle B, we need to set up an equation using the information given. The sum of the angles in a triangle is always 180 degrees. So, we can write the equation: 120 + (22x+4) + (15x+5) = 180. Now let's solve for x:

  1. Combine like terms: 120 + 22x + 4 + 15x + 5 = 180
  2. Combine constants: 129 + 37x = 180
  3. Subtract 129 from both sides: 37x = 51
  4. Divide both sides by 37: x = 1.3784 (rounded to four decimal places)

Now that we have the value of x, we can substitute it back into the expressions for angle B:

  • Angle B = 22x + 4 = 22(1.3784) + 4 = 29.3256 + 4 = 33.3256 degrees

Learn more about Finding the measure of angle B


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The equation of a parabola is shown.x-7=3/4y^2 What are the coordinates of the focus? A.) (71/3,0) B.) (7,-1/3) C.) 73/4,0) D.) 7,-3/4)

Write 3/13 as a recurring decimal. HELP PLEASE !!!

Answers

Answer:

the answer is 0.23076923076923

Answer: 0.230769 repeat

A. sides
B. inclines
C. opposites
D. vertices

Answers

Answer:

A. sides

Step-by-step explanation:

there sides because there next to each other and since b and d are vertices because its up and down b and c are in a line so its sides

Answer:

A. sides

Step-by-step explanation:

Cedric and doug each had an equal amount of money. After cedric spent $35 and doug spent $28, the ratio of cedrics money to dougs money was 2:3. How much money did each boy habe at first?

Answers

Answer:

Each of them had $49 at first.

Step-by-step explanation:

Given:

Cedric and Doug each had an equal amount of money.

Let the number of money they had at first be x

Cedric spent = $35

Doug spent = $28

Cedric Money left = x-35

Doug Money left = x-28

the ratio of Cedric money to Doug money was 2:3

Hence the expression can be made as;

(x-35)/(x-28)=(2)/(3)

Now by cross multiplication method we get;

3(x-35)=2(x-28)

Now we will use distributive property to elaborate the same;

3x-105=2x-56

Combining common terms we get;

3x-2x=105-56

Using Subtraction property we get;

x= 49

Hence $49 they each had at first.

Find the common difference of the sequence shown.1/2,1/4 , 0, ...
a.-1/8
b.-1/4
c.-1/2

Answers

1/2 , 1/4, 0

Find the common difference:

Rules in subtracting fraction
1) make sure the each fraction has a common denominator
2) if they have different denominators, find each least common multiple.
3) multiply the  fraction by the lcm. apply the lcm to both numerator and denominator

1/4 - 1/2 
1/4 - (1/2 * 2/2)
1/4 - 2/4  = 1-2/4 = -1/4

0 - 1/4 = -1/4

The common difference is B. -1/4


(1)/(2) -(1)/(4) =(2)/(4) -(1)/(4) =(1)/(4)\n\n(1)/(4) -0 =(1)/(4)

The common difference of the sequence is b. -1/4.

What is the image of (-6, -2) after a dilation by a scale factor of 4 centered at the origin?​

Answers

The image of the point (-6, -2) after dilation by a scalefactor of 4 centered at the origin is (-24, -8).

What is a scale factor?

A scalefactor is defined as the ratio between the scale of a given original object and a new object,

We have,

To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:

(x', y') = (kx, ky)

where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.

Substituting the values given in the problem, we get:

(x', y') = (4*(-6), 4*(-2))

Simplifying,

(x', y') = (-24, -8)

Therefore,

The image of the point (-6, -2) after dilation by a scalefactor of 4 centered at the origin is (-24, -8).

Learn more about scalefactors here:

brainly.com/question/20759556

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08.04A)The scatter plot below shows the test scores of a group of students who played games online for different amounts of time in a day:What will most likely be the effect on the test score of a student if the number of hours he/she plays games online increases?

Test score will decrease because the graph shows negative association

Test score will increase because the graph shows positive association

Test score will increase because the graph shows negative association

Test score will decrease because the graph shows positive association




4 graphs are shown:

Which graph represents a positive nonlinear association between x and y?

Graph A

Graph B

Graph C

Graph D

Answers

Answer:

1)

Test score will decrease because the graph shows negative association.

2)

Graph A

Step-by-step explanation:

1)

Clearly from the graph we could observe from the scatter plot that:

Test score will decrease because the graph shows negative association.

( As the points or the test scores are decreasing with the increasing number of hours spent on playing games online)

2)

Positive Nonlinear association:

A positive Non-linear relationship between two variables can be shown with an upward-sloping curve in a graph.

Hence, Graph A represents the following relationship.

( Since graph B and D are linear and graph C is negative association since the value keeps on decreasing)

Part 1 : The scatter plot below shows the test scores of a group of students who played games online for different amounts of time in a day:What will most likely be the effect on the test score of a student if the number of hours he/she plays games online increases?

Test score will decrease because the graph shows negative association

Test score will increase because the graph shows positive association

Test score will increase because the graph shows negative association

Test score will decrease because the graph shows positive association 

The correct answer is : Test score will decrease because the graph shows negative association. 

Fact : Playing video games is a distraction and  many kids fail there grade. Therefore test scores will decrease. 

Part 2 : Non 
Linear: This can be defined as if all the points on the scatter diagram tends to lie near a smooth curve, the correlation is said to be non linear. 

Answer = Diagram C