If m<2=98, m<3=23, and m<8=70 find the measure of each missing angle

If M&lt;2=98, M&lt;3=23, And M&lt;8=70 Find The Measure Of Each Missing Angle

Answers

Answer 1

Answer/Step-by-step explanation:

Given:

m<2 = 98,

m<3 = 23,

m<8 = 70

m<1 + m<2 = 180° (linear pair)

m<1 + 98 = 180 (substitution)

m<1 = 180 - 98 (subtracting 98 from each side of the equation)

m<1 = 82°

m<2 + m<3 + m<7 = 180° (sum of angles in a triangle)

121 + m<7 = 180 (substitution)

m<7 = 180 - 121 (subtracting 121 from each side)

m<7 = 59°

m<4 = m<7 (alternate angles are congruent)

Therefore,

m<4 = 59°

m<5 + m<4 + m<3 = 180° (angles on a straight line)

m<5 + 59 + 23 = 180 (substitution)

m<5 + 82 = 180

m<5 = 180 - 82 (subtracting 82 from each side)

m<5 = 98°

m<6 + m<7 + m<8 = 180° (angles on a straight line)

m<6 + 59 + 70 = 180 (subtitution)

m<6 + 129 = 180

m<6 = 180 - 129 (subtracting 129 from each side)

m<6 = 51°

m<9 + m<8 + m<4 = 180° (sum of triangle)

m<9 + 70 + 59 = 180 (substitution)

m<9 + 129 = 180

m<9 = 180 - 129

m<9 = 51°

m<10 + m<9 = 180° (linear pair)

m<10 + 51 = 180° (substitution)

m<10 = 180 - 51

m<10 = 129°


Related Questions

Write an absolute value equation that has the given solution.
- 2 and 2

Answers

Answer:

|4| - 2 = 2

|4| - 6 = -2

Step-by-step explanation:

Please I need help asap.. Express the area of the entire rectangle. Your answer should be a polynomial in standard form. ​

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Answer:

A = x²+6x+8

Step-by-step explanation:

(x+4)(x+2)

x²+2x+4x+8

x²+6x+8

An automobile travels 471 miles in 8 hours.
183
What is the average speed of the automobile to the nearest mile per hour?

Answers

58.875/mph but rounded to the nearest mph would be 59/mph


Because if they traveled 471 miles within 8 hours you would divide. 471 divided by 8=59

Caleb needs at least 30 cups for the party he already has 12 cups at least show many more cups does he need

A expression
B equation
C inequality

Answers

B. Equation (hope this helps!)

.what is .02 divied by .30 please dont show the calculator answer

Answers

Answer:

  1/15

Step-by-step explanation:

.02 = [tex]\frac{2}{100}[/tex]     and   .30 = [tex]\frac{3}{10}[/tex]

cross multiply

[tex]\frac{2}{100}[/tex]  ÷  [tex]\frac{3}{10}[/tex]   = 2(10) ÷ 300

[tex]\frac{20}{300} = \frac{1}{15}[/tex]

Fraction answer: 1/15

Decimal answer: 0.066666666666667

Find the midpoint of the segment with the given endpoints
(- 4.7) and (-1,-1)
The midpoint is?

Answers

(X1+X2 Y1+Y2 ) = midpoint
——— , ——-
2 2



So -4= X1
7= Y1
-1= X2
-1= Y2

Plug those in

-4+-1 7+-1
———, ———-
2 2

Simplified

-5
( —, 3)
2

Mimi and Rita both plan to run for a spot on the school
board in their city. They must each collect a certain
number of signatures to get their name on the ballot. So
far, Mimi has 30 signatures, but Rita just started and
doesn't have any yet. Mimi is collecting signatures at an
average rate of 8 per hour, while Rita can get 14
signatures every hour. Assuming that their rate of
collection stays the same, eventually the two will have
collected the same number of signatures. How many
signatures will they both have?
Create two tables showing hours and signatures. Write,
graph, and solve a system of equations for this situation.
Explain what your solution means for the situation.

Answers

Answer:

The equal number of signatures Mimi and Rita eventually collects are 70 signatures

Step-by-step explanation:

1) The initial number of signatures Mimi has = 30 Signatures

The average rate at which Mimi can collect signatures = 8 signatures per hour

The average rate at which Rita can collect signatures = 14 signatures per hour

The table of values showing the number of signatures Mimi and Rita can have at a given hour is presented as follows;

For Mimi, we have;

Hour        [tex]{}[/tex]    Number of Signatures

0         [tex]{}[/tex]           30

1         [tex]{}[/tex]            38

2         [tex]{}[/tex]           46

3         [tex]{}[/tex]           54

4         [tex]{}[/tex]           62

5         [tex]{}[/tex]           70

For Rita, we have;

Hour        [tex]{}[/tex]    Number of Signatures

0         [tex]{}[/tex]           0

1         [tex]{}[/tex]            14

2         [tex]{}[/tex]           28

3         [tex]{}[/tex]           42

4         [tex]{}[/tex]           56

5         [tex]{}[/tex]           70

2) The equation representing the number of signatures Mimi has at a given time, t, is given as follows;

The number of signatures Mimi has = 30 + 8 × t

The equation representing the number of signatures Rita has at a given time, t, is given as follows;

The number of signatures Rita has = 14 × t

3) Please find attached the required graph of the number of signatures Mimi and Rita has

4) The solution if the system of equations is given as follows;

30 + 8 × t = 14 × t

From which we have;

30 = 14 × t - 8 × t  = 6 × t

t = 30/6 = 5 Hours

By substituting t = 5 hours in the above equations, the equal number of signature of signatures Mimi and Rita can have is therefore;

30 + 8 × 5 = 70 signatures = (14 × 5) signatures

The equal number of signatures Mimi and Rita eventually collects are 70 signatures

5) The meaning of the solution is that is Mimi and Rita continue collecting signatures at their respective constant rate of 8 and 14 signatures per hour, given that Mimi already has 30 signatures, they will have the same number of 70 signatures after 5 hours

Solve - 2x - 8> 3x + 12.
Please help!

Answers

Answer:

B. X < -4

Step-by-step explanation:

-2x - 8 > 3x + 12

Subtract 3x from both sides

-5x -8 > 12

Add 8 both sides

-5x > 20

Divide -5 both sides

X < -4

Answer: x < -4

Step-by-step explanation:

Subtract 3x from both sides

-5x - 8 > 12

Add 8 to both sides

-5x > 20

Divide both sides by -5

x < -4

If s(x) = x - 7 and t(x) = 4x2 – X + 3, which expression is equivalent to (tºs)(x)?

Answers

Answer:

4x² - 57x + 206

Step-by-step explanation:

To evaluate (t ○ s)(x), substitute x = s(x) into t(x) , that is

t(x - 7)

= 4(x - 7)² - (x - 7) + 3 ← expand (x - 7)² using FOIL

= 4(x² - 14x + 49) - x + 7 + 3

= 4x² - 56x + 196 - x + 10 ← collect like terms )

= 4x² - 57x + 206

Solve for x: 5 - (x + 5) > -2(x + 4) (1 point)
a
x>-8
Ob
X<-8
oc
x>-18
Od
X<-18

Answers

Answer:

x > - 8

Step-by-step explanation:

5 - (x + 5) > -2(x + 4)

Expand the terms in the bracket

That's

5 - x - 5 > - 2x - 8

- x > - 2x - 8

Add 2x to both sides

That's

- x + 2x > 2x - 2x - 8

We have the final answer as

x > - 8

Hope this helps you

Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x + 7,
determine the numerical length of NO.

Answers

Answer:

Step-by-step explanation:

?

Answer:

Its 24

Step-by-step explanation:

What is the volume of this rectangular prism?

Answers

Answer: V≈5.21 cm³

Step-by-step explanation:

To find the volume of a rectangular prism, you multiply the length, width and height.

[tex]V=wlh[/tex]

Since we were given the length, width and height, we can directly multiply them together.

[tex]V=\frac{5}{2} *\frac{5}{3} *\frac{5}{4}[/tex]             [multiply]

[tex]V=\frac{125}{24} =5.21 cm^3[/tex]

Now, we know that the volume is approximately 5.21 cm³ or 125/24 cm³.

!!30 points!!
Are points A, B, and E collinear or noncollinear?

Answers

A. Noncolinear

ABE although they are in the same side, but they don't lie on the same line.

so its a noncolinear.

Answer:

ABE although they are in the same side, but they don't lie on the same line.

so its a noncolinear.

Step-by-step explanation:

-6x -4y + 8z = -18
3x + 2y - 4z = 9
2x - 5y + 2z = 5

Answers

Answer:

i am sorry i don't know but i will try to find the answers as soon as possible i am sorry

(20 points & brainliest)

Answers

I believe it’s 1 because anything set to the 0 power is automatically 1. I’m sorry if I’m wrong

Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1, so the answer is 1.

whats the answer to this? A), B),C),D)

Answers

it would have to be C!! :))
C can you mark brainiest ik im not first just wanna rank up

Plz help me I need help

Answers

Answer:

c has greatest ratio output with 0.6 compared to other

Step-by-step explanation:

1. If an equation contains decimals, what is the first step
you can perform to eliminate the decimals?

Answers

Answer:

Multiply by a power of 10

Step-by-step explanation:

By multiplying a power of ten, it will make the decimals whole numbers.

For example: 0.75*10=75

0.0075*10000

To eliminate the decimals, the first step we can perform is to multiply the decimal by a power of 10. If there are n numbers after the decimal point, then we will multiply the decimal by 10ⁿ.

What is decimal?

In Algebra, a decimal is a type of number with a whole integer and a fractional part separated by a decimal point. The dot that appears between the entire number and the fractions part is the decimal point. 24.589, for example, is a decimal number. The whole number part is 24 and the fractional part is 589. The decimal point is ".".

How to solve this problem?

If an equation contains decimals, then we have to check how many numbers are there in the fractions section. If there are 3 numbers like 24.589, to eliminate decimals we have to multiply 24.589 by 10³ to get a whole number [ Since 24.589×10³ = (24589/1000)× 1000 = 24589].

Therefore, to eliminate the decimals, the first step we can perform is to multiply the decimal by a power of 10. If there are n numbers after the decimal point, then we will multiply the decimal by 10ⁿ.

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Which function below is the inverse of f(x)= 3x+5/7

Answers

Answer:

[tex]\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}[/tex]

Step-by-step explanation:

Given the function:

[tex]f(x) = \frac{3x+5}{7}[/tex]

Put f(x) = y

[tex]y = \frac{3x+5}{7}[/tex]

Interchange x and y

[tex]x = \frac{3y+5}{7}[/tex]

Solve for y

[tex]x = \frac{3y+5}{7}[/tex]

Multiplying both sides by 7

[tex]7x = 3y+5[/tex]

Subtracting y to both sides

[tex]7x-5 = 3y[/tex]

Dividing both sides by 3

[tex]\frac{7x-5}{3} = y[/tex]

OR

[tex]y = \frac{7x-5}{3}[/tex]

Put y = [tex]f^{-1}(x)[/tex]

So,

[tex]f^{-1}(x) = \frac{7x-5}{3}[/tex]

Hope this helped!

~AnonymousHelper1807

6- X=-12
Will mark brainlest if right!

Answers

Answer:

18

Step-by-step explanation:

6-18=-12

\(` u`)/

Answer:

X-18

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 6-x-(-12)=0

Solve  :    -x+18 = 0

Subtract  18  from both sides of the equation : -x=-18

Multiply both sides of the equation by (-1) :  x = 18

                   

The length and width of a rectangle are ( 2x -5) and ( 3 x +4) What is the Perimeter?

Answers

Answer:

[tex] \fbox{ \sf{Perimeter \: of \: a \: rectangle = 10x - 2}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: Length \: of \: a \: rectangle ( l ) = (2x - 5) }}[/tex]

[tex] \star{ \sf{ \: Width \: of \: a \: rectangle ( w ) = (3x + 4)}}[/tex]

[tex] \star{ \sf{ \: \: Perimeter \: of \: a \: rectangle = ?}}[/tex]

[tex] \boxed{ \bold{ \sf{Perimeter \: of \: a \: rectangle = 2(l + w)}}}[/tex]

[tex] \hookrightarrow{ \sf{Perimeter \: of \: a \: rectangle = 2(2x - 5 + 3x + 4)}}[/tex]

[tex] \text{Step \: 1 : \: Collect \: like \: term}[/tex]

[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}[/tex]

[tex] \hookrightarrow{ \sf{2(2x + 3x - 5 + 4)}}[/tex]

[tex] \hookrightarrow{ \sf{2(5x - 5 + 4)}}[/tex]

[tex] \text{Step \: 2 \: : \: Subtract \: 4 \: from \: 5}[/tex]

[tex] \text{Remember !\: : the \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer}[/tex]

[tex] \hookrightarrow{ \sf{2(5x - 1)}}[/tex]

[tex] \text{Step \: 3 \: : \: Distribute \: 2 \: through \: the \: parentheses}[/tex]

[tex] \hookrightarrow{ \sf{2 \times 5x - 2 \times 1}}[/tex]

[tex] \hookrightarrow{ \sf{10x - 2}}[/tex]

[tex] \sf{∴ \: The \: perimeter \: of \: a \: rectangle = 10x - 2}[/tex]

[tex] \text{Hope \: I \: helped !}[/tex]

[tex] \text{Best \: regards ! }[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

400 thousen times 600 times 30 divide by 32 plus 1

Answers

Step-by-step explanation:

400,000x600x30/32+1

400,000x600=240,000,000x30=7,200,000,000/32=

225,000,000+1=225,000,001

Really? -_-

integrated math 2 chapter!help please i’m so lost :(

Answers

To solve this problem, you have to know that the measure of all the angles of a triangle is equal to 180 degrees.

Let's add each angle together and set them equal to 180 degrees.

180 degrees = 3x + 2x + 1 + x + 5

Combine like terms

180 degrees = 6x + 6

Subtract 6 from both sides

174 degrees = 6x

Divide both sides by 6

29 = x

We know that angle A = 3x = 3(29) = 87 degrees.

PLEASE HELP! convert y=1/3x+9 to POINT SLOPE form

Answers

Answer:

y-10=1/3(x-3)

Step-by-step explanation:

I really don't want to explain, but tell me if you want an explanation and I will give it

Suppose triangle ABC is a right triangle. Side AB is 3 feet and side BC is 4 feet. Find the length of the hypotenuse, AC. Remember Pythagorean Theorem.

A. 25 feet
B. 5 feet
C. 16 feet
D. 4 feet
E. 9 feet
F. 3 feet

Answers

Answer:

5

Step-by-step explanation:

3 squared + 4 squared = c squared

3 squared= 9   4 squared= 16

9+16=c squared

25=c squared

5= c

Abox is 30 inches long wide, 16 inches long, and 14 inches high. To the nearest cubic inch,
what is the volume of the box?

Answers

Answer:

6720[tex]in^{3}[/tex]

Step-by-step explanation:

length x width x height

30 in x 16 in x 14 in = 6720[tex]in^{3}[/tex]

resolve in factor x³-16x​

Answers

Answer:

x (x + 4) (x - 4)


Determine if the following relation represents a function or not.
{(2,3), (4,3), (6,3), (5,9), (3,9)}

Answers

Answer:

It is a function.

Step-by-step explanation:

Functions are relations in which one domain value is assigned to exactly one range value. The x-value must not repeat in the relation set for it to be a function.

{(2,3), (4,3), (6,3), (5,9), (3,9)}

There are no repeating x-values given.

The relation should be a function.

Hope this helps.

Functions are relationships where a single domain value is allocated to a single range value precisely. For a relation set to be a function, the x-value cannot repeat.

What is a Set?

The simplest definition of a set in mathematics is a grouping of unique items. Any collection of elements, such as a group of numbers, hours of the week, different kinds of automobiles, etc., might be considered a set.

A set's elements are all the items that make up the set.

As per the given data in the question,

{(2,3), (4,3), (6,3), (5,9), (3,9)}

Due to the absence of repeated x-values.

So,

The relationship need to be functional.

To know more about set:

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Write an explicit formula for the n^th term a n 13, 17, 21, 25, ...

Answers

The first term in our arithmetic sequence = 13

The common difference of our arithmetic sequence = 17 - 13 = 4

The formula for finding an equation for any arithmetic sequence is a(n) = A + B(n - 1)

A = the first term

B = the common difference.

Let's plug our numbers in.

a(n) = 13 + 4(n - 1)

Let's check to make sure we're correct.

a(1) = 13 + 4(1 - 1) = 13 + 4(0) = 13 + 0 = 13

a(2) = 13 + 4(2 - 1) = 13 + 4(1) = 13 + 4 = 17

That verifies that our formula is correct.

In conclusion,

a(n) = 13 + 4(n - 1)

Which number BEST represents point x on the number line? A) 56 B) 65 C) 78 D) 87

Answers

where is the number line

Step-by-step explanation:

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