Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of angle ABC is °.The measure of angle BAC is °.The measure of angle ACB is °.

Answers

Answer 1

Answer:

Angle B is the linear pairs with 60°, so the size is 180-60=120°

Angle ABC is the linear pair with 120°, so the size is 180-120-60°

Angle A corresponds to angle 60°, so they are equal

Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°

Angle ACB is 180-(50+60) = 70°

Step-by-step explanation:

Answer 2

The solution is:

The measure of angle ABC is 60°.

The measure of angle BAC is 50°.

The measure of angle ACB is 70°.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Angle B is the linear pairs with 60°,

so the size is 180-60=120°

Angle ABC is the linear pair with 120°,

so the size is 180-120 =60°

Angle A corresponds to angle 60°,

so they are equal

Angle BAC is the linear pair with angle A and angle 70°,

so 180-(60+70) =50°

and, we have,

Angle ACB is 180-(50+60) = 70°

Hence, The solution is:

The measure of angle ABC is 60°.

The measure of angle BAC is 50°.

The measure of angle ACB is 70°.

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Related Questions

estimate the solution of the equation to the nearest while number

7.8 ÷ n = 38.2

n≈35
n≈30
n≈30
n≈20
n≈25

Answers

N=20 “, hope that helped you


You and 2 friends have a job cleaning houses. You split the total money you make so
that you each get the same amount. On the first day, you earn $93. The second day,
you earn $75. The third day, you earn $108. How much money do you each get for :
days of work?

Answers

Answer:

92 dollars each luv:)

Step-by-step explanation:

Order the rational numbers from least to greatest
-25/7
10/7
0/7
-2/7
6/7
-7/7

Answers

-25/7
-7/7
-3/7
0/7
6/7
10/7

What is 1+1?
I really need this answer i dont know it

Answers

Answer:

2

Step-by-step explanation:

what multiplication fact can you double to find 4 x 7?

Answers

Answer:

2 x 7

Step-by-step explanation:

4 x 7 = 28

Since you want doubled, we have to half to find start.

28/2 = 14

Only solid equation that equals 14 is 2 x 7

And since 4 is a double of 2, the answer checks out

The multiplication fact that can be doubled to find 4 x 7 is

2 x 7.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 x 7 = 28

Now,

The multiplication of 2 x 7 = 14.

If 2 x 7 is double we get,

2 x (2 x 7) = 2 x 14 = 28

Thus,

The multiplication fact is 2 x 7.

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If RS=3x + 1, ST= 2x - 2, and RT=64 find the value of RS and ST

Answers

Answer:

a. RS= 3x + 1 =64

group like teams

3x =64 - 1

3x=63

divide both sides by 3

Ans: RS= 21

b. ST= 2x - 2 =64

group like teams

2x= 64-2

2x=62

divide both sides by 2

Ans:ST=31

∆ RS= 21 and ST=31

One pound of ground beef is $3.09. How much is 4.5 pounds? Round to the nearest hundredth, if necessary

Answers

Answer:

1 pound beef = $3.09

4.5 pound beef = x

x = 3.09 × 4.5

x = 13.91

4.5 pounds= 3.09x4.5= 13 905

100 if u get this right!

Answers

The slope of the line is 4/3. It is already written as an improper fraction. It can’t be written as a proper fraction, as it will always be over the limit, making it improper. And it can’t be a integer, since it’s not a whole number. Leave it as 4/3. :)

Hope this helps!!

(I’m really sorry if I’m wrong.)

Answer:

y = m x

m = slope

Here m = 4/3

,*,slope is 4/3

Nine more than the quotient of two and a number xxx. PLEASE HELP ME FAST

Answers

Quotient of 2 and x is   2/x

nine more than 2/x is = 9+ (2/x)

so therefore, we have 9 + 2/x

hope this helps :)

                                     

Round 0.817446 to the ten-thousandths place.

Answers

Answer:

0.8174

Step-by-step explanation:

You just round up to the 4th to the right

(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.​

Answers

75 ≥ 2s + 5l

Since the seating cannot be more than 75 people, it is less than or equal to 75

Answer:

75 ≥ 2s + 5l

75 = guests

2 is = amount of people per small table

5 is = amount of people per big table

Can someone solve this for me please? I would be very thankful <3

Answers

Answer:

running speed is horse power

so up with horse

it will tell its power

go and denge it

so you will get your answer by this process

A. complete the table if y varies directly as x or x

Answers

Answer:

If Y = X

then you X and Y should be congruent to each other.

Step-by-step explanation:

9.2 less than 3 times a number is the same as 2114.What is the number?

Answers

Answer:

707.7

Step-by-step explanation:

3x-9.2 = 2114

2114+9.2 = 2123.2

3x = 2123.2

x = 707.7

Answer:

10.15

Step-by-step explanation:

3x-9.2 = 21.25

3x = 30.45

x = 10.15


By which numbers (4,6,8 or 9) are the following numbers divisible?
(a) 3 786
(b) 4 136
(c) 15 342
(d) 87 312
(e) 85 572
(f) 1234 567

Answers

Answer:

option a as last digit even a d come in 3 table

The pie chart shows information about the voters in an election 2800 more women voted than men work out the total number of voters

Answers

The angle subtended by the women voters are 100° more than the angle subtended by the men voters.

The total number of voters are 10080 voters

Reasons:

The angle subtended by the men on the pie chart = 130°

The number of women = 2800 + The number of men

Therefore;

Angle subtended by the women voters on the pie chart = 360° - 130° = 230°

The difference between the angle representing women and the angle

representing men = 230° - 130° = 100°

Therefore;

100° = 2800

Which by common ratios gives;

[tex]\dfrac{100^{\circ}}{360^{\circ}} = \dfrac{2800}{Total \ number \ of \ voters }[/tex]

100 × Total number of voters = 2800 × 360

[tex]The \ total \ number \ of \ voters = \dfrac{2800 \times 360}{100} = 10080[/tex]

The total number of voters = 10080

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Answer:

The angle subtended by the women voters are 100° more than the angle subtended by the men voters.

The total number of voters are 10080 voters

Reasons:

The angle subtended by the men on the pie chart = 130°

The number of women = 2800 + The number of men

Therefore;

Angle subtended by the women voters on the pie chart = 360° - 130° = 230°

The difference between the angle representing women and the angle

representing men = 230° - 130° = 100°

Therefore;

100° = 2800

Which by common ratios gives;

100 × Total number of voters = 2800 × 360

The total number of voters = 10080

What is a fraction pair that is equivalent to 2/15 and 4/9, and in which both fractions have a
denominator that is the least common denominator of 2/15 and 4/9?
45
c-2115,419

Answers

Answer:

  6/45 and 20/45

Step-by-step explanation:

The least common denominator is the least common multiple (LCM) of 9 and 15.

The factors of those numbers are ...

  9 = 3·3

  15 = 3·5

The LCM is the product of the unique factors to their highest powers:

  3·3·5 = 45

__

To make 2/15 have a denominator of 45, we need to multiply by 3/3:

  2/15·3/3 = 6/45

To make 4/9 have a denominator of 45, we need to multiply by 5/5:

  4/9·5/5 = 20/45

The desired fraction pair is 6/45 and 20/45.

What is 5796÷25 show working ​

Answers

Answer:

231.84

Step-by-step explanation:

I don't know but use a calculator

The arithmetic sequence 2, 4, 6, 8, 10,. . . Represents the set of even natural numbers. What is the 100th even natural number? a100 = What is the sum of the first 100 even natural numbers? S100 = Complete the sentence below with less than, greater than, or equal to. The sum of the first 100 even natural numbers is the sum of the first 101 odd natural numbers.

Answers

The 100th even natural number is 200

Given the sequence 2, 4, 6, 8, 10....

The nth term of the sequence is expressed as:

Tn  = a + (n - 1)d

a is the first term = 2

d is the common difference = 4 - 2 = 6 - 4 = 2

n is the number of terms

Substitute the given parameters into the formula

Tn = 2(n-1)2

Tn = 2+(2n - 2)

Tn = 2n

Get the 100th term

T10=  2(100) = 200

Hence the 100th even natural number is 200

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Answer:

1)

200

2)  

10100

3)

less than

Step-by-step explanation:

on god

A cylinder has a volume of 33,912 units3 and a
height of 12 units. What is the diameter of the
cylinder?

Answers

Answer:

60

Step-by-step explanation:

The slope in the linear equation y=12x+5 is _[blank]_.

Answers

the slope is 12x, remember the slope is the number value before the variable!

What is the other endpoint of the segment with midpoint (-3) and endpoint (-7)?
O 4
O 1
0-11
0-5

Answers

Answer:

1

Step-by-step explanation:

From -3 to -7 the distance is 4 (-3--7=4). Midpoint means that point -3 bisects the segment into two equal parts. So, the other endpoint is 4 units away from -3. Since -3+4=1, 1 is answer.

NEED HELP ASAP!


1. For the function y = 3x - 6, what is a the output when the input is 10?

Answers

Answer:

24

Step-by-step explanation:

You input will always be your x so you just substitute x with 10 and simplify. Which is 30 minus 6, thus 24. :)

What is the degree of angle o?

Answers

Answer:

48°

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

48 hope this help you

Monique saved money to buy softball equipment. She used 1/4 of her savings to buy a bat. She used 2/3 of her savings to buy a glove. How much of her savings does Monique have left?

Answers

Answer:

she has 1/3 of her savings left

Step-by-step explanation:

Find the equation of the line that passes through the given points, in Slope-Intercept Form. (-2, -7) and (3, 8)

Answers

Answer:

y=3x-1

Step-by-step explanation:

m=y2-y1/x2-x1

m=8-(-7)/3-(-2)

m=8+7/3+2

m=15/5

m=3

y-y1=m(x-x1)

y-(-7)=3(x-(-2)

y+7=3(x+2)

y+7=3x+6

y=3x+6-7

y=3x-1

All the assignment for 25 points

Answers

Answer:

X = 6.2m

Step-by-step explanation:

118 - 19x =

Answer:

the length would be 40

Step-by-step explanation:

step 1) multiply 19 for both short sides = 38

step 2) subtract from total perimiter = 80

step 3) 80 divided by 2 to calculate length/long side = 40

-2+3y=9 ; y=2x+7 i need help

Answers

Answer:

Here is your 2 answers.

Step-by-step explanation:

First question: -2+3y=9

step 1 simplify first so now it's 3y-2

step 2 add both sides by 2 now its 3y=11

step 3 divide both sides by 3 so on the left both sides should cross out leaving only y=11/3 so this is your first answer

Second question:

I attach the link this question acquires a graph to plot I believe so here is the answer for the second one hope I help please mark brainliest if I did! <3

What is -6/2 simplified

Answers

The simplest form of
6
2
is
3
1
.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator
GCD of 6 and 2 is 2
Divide both the numerator and denominator by the GCD
6 ÷ 2
2 ÷ 2
Reduced fraction:
3
1

Therefore, 6/2 simplified to lowest terms is 3/1.

The fraction number negative 6/2 in the simplified form will be negative 3.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The fraction number is given below.

⇒ - 6 / 2

Simplify the fraction number, then we have

⇒ - 6 / 2

⇒ - 3

The fraction number negative 6/2 in the simplified form will be negative 3.

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Which table of values represents a linear function?

Answers

The answer is C!

Tell me if you want me to explain.

Hope this helped!! :)
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