MATHEMATICS MIDDLE SCHOOL

Lines b and c are parallel. What is the measure of 2? m2 = 31° m2 = 50° m2 = 120° m2 = 130°

Answers

Answer 1

Answer:

Answer:

m2 = 50

Step-by-step explanation:

7x+1+18x+4=180

25x+5=180

25x=175

x=7

m2= 7(7)+1 = 50

Answer 2

Answer:

Answer:

2. $m\angle 2=50^(o)$

Step-by-step explanation:

We have been given that lines b and c are parallel.

Since we know that vertical angles are always congruent. We can see that measure of angle 2 will be equal to $(7x+1)^(o)$ as it is the measure of vertical angle of angle 2.

We can see that $(7x+1)^(o)$ and $(18x+4)^(o)$ form a linear pair, so they will add up to 180 degrees.

$18x+4+7x+1 =180$

$25x+5=180$

$25x=180-5$

$25x=175$

$x=(175)/(25)$

$x=7$

Now let us substitute value of x in the expression $(7x+1)^(o)$ to find the measure of angle 2.

$m\angle 2=7x+1$

$m\angle 2=7* 7+1$

$m\angle 2=49+1$

$m\angle 2=50$

Therefore, the measure of angle 2 will be 50 degrees and 2nd option is the correct choice.

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Determine whether the following statement is always, sometimes, never true. Justify your reasoning.If the scale factor of a scale drawing is greater than one, the scale drawing is larger than the actual object.

Is 80 oz greater or less than 5 pounds

Answers

80 oz and 5 lbs are the same

80 oz is greater than 5 pounds

Why does Y equals 5X plus one have a bigger slope then y equals 2X +5

Answers

slope intercept form is y = mx + b, where m is the slope. 5 is greater than 2 so that’s why y = 5x + 1 has a greater slope than y = /x + 5

PLEASE HELPPPP!!!!!! Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which Venn diagram could represent this description? Image for option 1 Image for option 2 Image for option 3 Image for option 4

Answers

Answer:

The answer is the attached figure

Step-by-step explanation:

* Lets explain mutually exclusive and non-mutually exclusive

- The mutually exclusive means events cannot happen at the

same time

# P(A or B) = P(A) + P(B)

- The non-mutually exclusive means they have at least one

outcome in common

# P(A or B) = P(A) + P(B) - P(A and B)

* Lets solve the problem

∵ Events A and B are mutually exclusive

∵ Circle A represents the event A

∵ Circle B represents the event B

∴ There is no intersection between the two circles A and B

∵ Events B and C are non-mutually exclusive

∵ Circle C represents the event C

∴ There is an intersection between the two circles B and C

* The answer is the attached figure

Answer: D. image 4.

Just did assignment.

MOVIES A movie director is creating a scale model of the Empire State Building to use in a scene. The Empire State Building is 1250 feet tall. If the model is 75 inches tall, what is the scale of the model?

Answers

The scale of model is 3 inches = 50 feet

Step-by-step explanation:

Given,

Height of Empire state building = 1250 feet

Height of model of building = 75 inches

Therefore;

75 inches = 1250 feet

We will divide the height in feet with the height in inches to determine the scale of model.

1 inch = $(1250)/(75)$

1 inch = $(50)/(3)\ feet$

Multiplying both sides by 3

$3*1\ inches = (50)/(3)*3\ feet\n3\ inches = 50\ feet$

The scale of model is 3 inches = 50 feet

Keywords: ratio, division

Learn more about ratio at:

#LearnwithBrainly

A theater company charges $7.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?A 7.5c + a
B c + 7.5a
C 15(c + a)
D 7.5(c + a)

Answers

The total money earned by the company from the sale of tickets in expression is 7.5 (c+a).

What is expression?

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases.

According to the question

A theater company charges $7.50 per ticket for people of all age groups.

The total number of children who bought tickets = c

The total cost for children who bought tickets = $7.50c

The total number of adults who bought tickets = a

The total cost for adult who bought tickets = $7.50a

The total money earned by the company from the sale of tickets

= The total cost for children who bought tickets + The total cost for adult who bought tickets

= 7.50c + 7.50a

= 7.5 (c+a)

Hence, The total money earned by the company from the sale of tickets in expression is 7.5 (c+a).

To know more about expression here: