I need to determine m∠z. Can anybody help with this?

I Need To Determine Mz. Can Anybody Help With This?

Answers

Answer 1

Answer:

  z = 134°

Step-by-step explanation:

You want to know the measure of exterior angle z given remote interior angles of the triangle are 77° and 57°.

Exterior angle

The exterior angle of a triangle is equal to the sum of the remote interior angles of the triangle. (It is useful to remember this.)

  z = 77° +57°

  z = 134°

__

Additional comment

As you know the value of the interior angle at C will be the supplement of the value of z: (180° -z). Then the sum of the interior angles is ...

  77° +57° +(180°-z) = 180°

Add (z -180°) to both sides of this equation and you get ...

  77° +57° +(180°-z) +(z -180°) = 180° +(z -180°)

  77° +57° = z . . . . simplified


Related Questions

f(x)=√x+11. Find the inverse of f(x).
O A. f¹(x) = x³ – 11
O B. f¹(x) = (x - 11)³
O c. f¹(x) = x³ + 11
O D. f¹(x) = (x +11)³

Answers

Answer: Your answer would be C: f¹(x) = x³ + 11

A cube has a surface area of 600 cm2 what is the area of one face of the cube

Answers

Answer:

The surface area of one face of the cube is 100 square centimeters.

Step-by-step explanation:

From the given diagram, we can conclude that a cube has 6 faces. To get the surface area of one face, we take the total surface area and divide it by 6, as following:

[tex]\frac{600}{6}\rightarrow100[/tex]

This way, we can conclude that the surface area of one face of the cube is 100 square centimeters.

Devon records 4 hours of reality shows on her dvr. she records comedy shows for 3/8 of that amount of time. devon watches all the reality and comedy shows in half hour sittings.

Answers

If Devon records 4 hours of reality shows on her dvr and she records comedy shows for 3/8 of that amount of time, then the number of hours taken to record the comedy show is 1.5 hours

Number of hours the Devon record the reality shows = 4 hours

she records comedy shows for 3/8 of that amount of time

The number of hours taken to record the comedy show = (3/8)×Number of hours the Devon record the reality shows

Substitute the values in the equation

= (3/8)×4

= 12/8

= 1.5 hours

Hence, if Devon records 4 hours of reality shows on her dvr and she records comedy shows for 3/8 of that amount of time, then the number of hours taken to record the comedy show is 1.5 hours

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Are the triangles similar? If so write the similarity statement and state which postulate allows them to be similar and why.

Answers

The Triangles are not similar as they do not predict any similar triangle properties that is SSS, SAS , AA properties.

What are the triangle similarity criteria?

Two triangles are similar if they meet one of the following criteria.

AA: Two pairs of corresponding angles are equal.

Example: Let Two triangles with Two angles of the first triangle are congruent to two angles of the second triangle.

SSS: Three pairs of corresponding sides are proportional.

Example: Let Two triangles with The first triangle has sides of length a, b, and c. The second triangle has corresponding sides of length k times a, k times b, and k times c.

SAS: Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Example: Let Two triangles with both have one congruent angle. In the first triangle, the congruent angle is between sides of length a and b. In the second triangle, the congruent angle is between corresponding sides of length k times a and k times b.

So, We have given that

Two Triangles namely ABC and DEF

So, For ΔABC,

∠A = 105°, ∠C=34°, ∠B= 180-(105+34)=180-139=41°

Now Similarly for ΔDEF,

∠E = 105°, ∠D=43°, ∠F= 180-(105+43)=180-148=32°.

So, For both triangles

∠A~∠E but no other similar property found between the both Triangle.

So, we can conclude that the ΔABC and ΔDEF are not similar as they don't show any similar triangle properties.

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how much will Yoona charge to walk 8 dogs

Answers

Yoona will charge $20.75 to walk 8 dogs based on the trend of Yoona charges to walk dogs.

How to find the amount to be charged?

First, find the pattern in the amount that Yoona charges to walk each additional dog.

Additional cost to walk 2 dogs:

= 40 - 37.25

= $2.75

Additional cost to walk 3 dogs:

= 37.25 - 34.50

= $2.75

Additional cost to walk 4 dogs:

= 34.50 - 31.75

= $2.75

Every extra dog therefore leads to a fall in price by $2.75. For eight dogs, Yoona would charge:

= 40 - (7 x 2.75)

= 40 - 19.25

= $20.75

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f(x)=5x+10 solve when f(x)=20

Answers

When f(x) = 20

Then

5x + 10 = 20

Therefore

5x=20-10=10

x = 10 / 5 = 2

x= 2

"Complete the table" can i get some help with this pls and thank you

Answers

1. 1 yards
2. 2 yards
3. 18 feets
4. 21 feets

Point-slope form: y minus y 1 = m (x minus x 1).
Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form.
Choose the equation of the line.

y = 2x – 7
y = 2x + 11
y = –4x + 14
y = 3x +14
Help me please!!

Answers

y = 2x+11 is the answer

Ryan deposits $775 in an account that pays 4.24% simple interest for four years. Brian deposits $775 in an account that pays 4.24% simple interest for one year.

Answers

The interest earned by Ryan is $131.44  and the interest earned by Brian is $32.86    .

In the question,

it is given that

amount deposited by Ryan = $775

time for which the amount is deposited = 4 years

rate at which the amount is deposited = 4.24%

So the simple interest = (p*r*t)/100

= (775 * 4.24*4 ) /100

= 13144/100

= 131.44

amount deposited by Brian = $775

time for which the amount is deposited = 1 years

rate at which the amount is deposited = 4.24%

So the simple interest = (p*r*t)/100

= (775 * 4.24 * 1 ) /100

= 3286/100

= 32.86

Therefore , the interest earned by Ryan is $131.44  and the interest earned by Brian is $32.86    .

The given question is incomplete , the complete question is

Ryan deposits $775 in an account that pays 4.24% simple interest for four years. Brian deposits $775 in an account that pays 4.24% simple interest for one year. Find the interest earned by both Ryan and Brian ?

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A tissue factory produces 3,876 tissues a day. How many tissues does it produce after 7 days?

Answers

Answer:

27,132 tissues

Step-by-step explanation:

if it produces 3,876 tissues a day, and a week has 7 days, then the answer would  be 3,876 x 7=27,132 tissues

Answer:

27132 tissues

Step-by-step explanation:

everyday 3876 tussues are made

so the equation would be 3876×7 to get how many tissues are made in 7 days

Find the missing number so that the equation has no solutions.

2 x + 4 = – 3 x – 18 + blank x

Answers

The value of x in the equation given is x = -4.4

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario.

In this case, the value will be expressed by subtracting the variables that are given in order to get the other term. This will be:

2x + 4 = -3x - 18

Collect like terms

2x + 3x = -18 - 4.

5x = -22

Divide

x = -22 / 5

x = -4.4

This illustrates the concept of equations.

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The area of a circle is 25 pi ft 2.

Answers

You would have to do 25 pi x 2

Estimate the difference by rounding each number
to the nearest hundredth: 0.076 -0.011
A 0.08
B 0.06
C 0.05
D 0.07

Answers

Answer:

answer is D= 0.07

Step-by-step explanation:

The equation:

0.076 - 0.011

By rounding to the nearest hundredth

0.076 = 0.08

0.011 = 0.01

=0.08-0.01

=0.07

Is this right?
Look at this graph.
What is the equation of the line in slope-intercept form?​

Answers

Answer:

I think the answer is (3,10) sorry if I got this wrong!

Step-by-step explanation:

Answer is y = 3x + 3

Using coordinates (0,3) for y intercept

Using coordinates to solve (1,6)

y - y1 = m (x - x)

y - 6 = 3 (x - 1)

y - 6 = 3x -3

y = 3x + 3

Let the graph of g be a translation 2 units left and 1 unit down, followed by a reflection in the y -axis of the graph of f(x)=(2x+1)^2-4 . Write a rule for g .

Answers

The rule for the function g(x) is (2x + 5)² - 5.

We are given a function f(x). The function f(x) is defined as given below :

f(x) = (2x + 1)² - 4

A function connects an input with an output. It is analogous to a machine with an input and an output. And the outcome is somehow connected to the input.

We first need to do a translation with 2 units left.

The translation is given by f(x + 2).

f(x + 2) = (2x + 5)² - 4

We now need to do a translation with 1 unit downwards.

The translation is given by f(x + 2) - 1.

f(x + 2) - 1 = (2x + 5)² - 4 - 1

f(x + 2) - 1 = (2x + 5)² - 5

The definition of the function is given below :

g(x) = (2x + 5)² - 5

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On the 1:1000 scale plan, the length and width of the house are drawn as 2 cm and 1.5 cm.
a. Find the actual size.
6. Find the ratio of the area of ​​the foundation of the house to the area on the floor plan.

Answers

Answer:

a. Actual size: 20 m x 15m

b. 1,000,000 : 1

Step-by-step explanation:

(a) Since scale is 1:1000, multiply both length and width on the floor pan to get actual length and width of house

a. Actual size

= 2 x 1000 cm x 1.5 x 1000 cm

= 2000 cm x 1500 cm

= 20m x 15m (since 1 m = 100 cm

(b) Area on plan = 2 x 1.5 = 3 cm²

Actual area = 2000 x 1500 = 3,000,000 cm²

Ratio of actual area to floor plan area
= 3,000,000 / 3 = 1,000,000 : 1

Give the domain and range of each relation below. (help please)

Answers

Answer:

Domain is (-infinity, infinity), range is (-infinity, 0]

Step-by-step explanation:

The x values are infinite on both sides, but the y values are not. Let me know if you want me to explain more :)

Question 8
Given the equations y=-4x-4 and y=4(x+1), is (-1,0) a solution of the system of
equations?
True
False
Question 9
The solution to the system of linear equation
1 pts
1 pts

Answers

Yes is (-1,0) a solution of the system of equations.

A linear equation is defined.

A linear equation is one that has a maximum degree of 1. No variable in a linear equation has an exponent greater than 1, thus. A linear equation's graph is always a straight line.

Since each term in a linear equation has an exponent of 1, graphing an algebraic equation always yields a straight line. It is called a "linear equation" because of this.

Given

y=-4x-4...(i)

y=4(x+1)

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

Adding (i) and (ii) we get

y= 0

Now putting y = 0 in Equation (i)

we get x = -1

Therefore (-1,0) is the solution of the two given equations.

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the length of a small garden is 12.64 feet. the width of the garden is 14 feet. samuel wants to fence the garden in on all sides. he has 50 feet of fencing. calculate the perimeter of the garden to determine if samuel has enough fencing.

Answers

Answer:

He does not have enough for fencing the garden

Step-by-step explanation:

The garden is in the shape of a rectangle

The perimeter of a rectangle of length L and width W is given by
P = 2 (L + W)

Since we are given L = 12.64 ft  and W = 14 ft, the perimeter of the garden is
2 ( 12.64 + 14) = 2 (26.64) = 53.28 feet

Since Samuel only has 50 feet of fencing, there is not enough to fence. He is short by 3.28 feet

How do I find simple interest? I am currently working on a CYU that requires this information. Thank you!

Answers

think of all the things s you like

(5 points) use coordinate vectors to test the linear independence of the sets of polynomials. do they form a basis for the space of polynomials of third degree? why or why not? explain your work.

Answers

The linear independence of vector sets forms the basis of the space of polynomials of third degree.

In vector space theory, a collection of matrices is said to be heavily dependent if there is a nontrivial concatenation of the vectors that equal the zero vector. If no such linear combination exists, the vectors are said to be linearly independent. These concepts are crucial to the concept of dimension.

The maximum number of nonzero vectors determines whether the dimensions of a vector space are finite or infinite. The capacity to recognize whether a subset of columns in a vector space is dependent, as well as the concept of linear dependence, are crucial for determining a vector space's dimensionality.

If the same vector appears twice in a vector sequence, it must be dependent. The linear dependency of a vector series is independent of the order of the terms. A restricted collection of vectors can have linear independence if the sequence obtained by sorting a finite number of lines is linearly independent. In other words, the following outcome is frequently useful.

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2/3 + 9/10 adding fractions
My teacher is making us show work :(​

Answers

Answer: 47/30

Step-by-step explanation:

1) Find the common denominator

2/3 + 9/10

10/10 * 2/3 + 9/10 * 3/3

2) Add the numerator

20/30 + 27/30

47/30

Find the inverse of f(x) = 12x - 3

Answers

ANSWER

[tex]f^{-1}(x)\text{ = }\frac{y}{12}+\frac{1}{4}[/tex]

EXPLANATION

We want to find the inverse of the function given:

f(x) = 12x - 3

First, replace f(x) with y:

y = 12x - 3

Now, make x the subject of the function:

y + 3 = 12x

[tex]\begin{gathered} \Rightarrow\text{ x = }\frac{y}{12}\text{ + }\frac{3}{12} \\ x\text{ = }\frac{y}{12}\text{ + }\frac{1}{4} \end{gathered}[/tex]

Now, replace x with f-1(x) and y with x:

[tex]f^{-1}(x)\text{ = }\frac{y}{12}+\frac{1}{4}[/tex]

That is the inverse function.

This shape is made up of one half-circle attached to a square with side lengths 11 inches. You can use 3.14 as an approximation for π. help i don't know it

Answers

The approximate perimeter of the entire shape is 50.27 inches.

How to find the perimeter of a figure?

The perimeter of a figure is the sum of the whole sides of the figure.

Therefore, the perimeter of the entire shape can be calculated as follows:

The shape is made of three sides of a square and half a circle.

Therefore,

circumference of the semi circle = πr

r = 11 / 2 = 5.5 inches

circumference of the semi circle = 5.5π

Hence,

perimeter of the shape = 11 + 11 + 11 + 5.5π

perimeter of the shape = 33 + 5.5(3.14)

perimeter of the shape = 33 + 17.27

Therefore,

perimeter of the shape = 50.27 inches

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Suki has placed $800 in an account that pays 4 percent interest compounded quarterly. at the end of two years (eight quarters), the balance in the account will be $ 0.08 . that means suki will have earned $ in interest during that time. (round your answers to the nearest cent.) what will be the balance in the account at the end of two years (eight quarters)? how much interest will suki have earned during that time? (round your answers to the nearest cent.)

Answers

The balance in the account at the end of two years is $864.

The interest earned by Suki during that time is $64.

The initial principal amount "P" is $800.

The interest rate "R" is 4%.

The interest is compounded quarterly.

This means the value of "n" is 4.

The time period for which the interest is earned is 2 years.

The formula for compound interest is :

A = P*[1 + (R/n)]^(n*t)

A = 800*[1 + (0.04/4)]^(4*2)

A = 800*[1 + 0.01]^(4*2)

A = 800*[1.01]^(8)

A = 800*1.08

A = 864

The total interest earned is the final amount minus the principal amount.

The total interest earned is $864 - $800.

The total interest earned is $64.

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Naomi is driving on a long road trip. She currently has 10 gallons of gas in her car. Each hour that she drives, her car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?

Answers

After 4 hours of driving, there will be 3 gallons of gas left in the tank. After t hours,10 - 0.75t of gas will still be present.

Describe algebra.

Algebra is the study of mathematical symbols, and logic is the manipulation of those symbols.

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To solve the equation properly and accurately, this rule is applied.

Naomi is traveling by car a long distance. She has 10 gallons of gas in her automobile right now. Her car consumes 0.75 of gas per hour that she is on the road.

After four hours of driving, the amount of gas in the tank will be

⇒ 0.75 x 4

= 3 gallons

After t hours, the amount of gas remaining will be

⇒ 10 - 0.75t

After 4 hours of driving, there will be 3 gallons of gas left in the tank. After t hours, there will be 10 - 0.75t of gas left.

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What are the terms of each expression?
4x + 3z

Answers

The terms are 4x and 3z

Answer:

4x and 3z are the only 2 terms in this esxpression.

Calculate rates (backwards)
If you pay $60 for bulk rice, at $4.00 / kg, how many kilograms can you buy?

Answers

Answer:

15kg

Step-by-step explanation:

$60 divide by $4 kg

60/4=15

when we divide the number of seconds in december by the number of seconds in november, we get a remainder of $r$. if we then divide $r$ by $11$, what remainder do we get?

Answers

The remainder when r is divided by 11 is 6.

Remainder is the amount left after dividing a number by another. After dividing a number with another, it will result to an integer and a remainder, which is less than the divisor.

Divide the number of seconds in December by the number of seconds in November and get the remainder, r.

number of seconds in December ÷ number of seconds in November

31days(24h/day)(60min/h)(60s/min) ÷ 30days(24h/day)(60min/h)(60s/min)

= 2678400 s ÷ 2592000 s

= 1 r. 86400

r = 86400

Divide r by 11 and get the remainder.

86400 ÷ 11 = 7854 r. 6

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Juan Fuentes is a computer programmer. His annual salary is
$32,190.00. Benefits he receives consist of $1,881.73 in vacation time,
holidays worth $1,287.60, health insurance premiums of
$2,300.00 paid by the employer, Social Security of $1,995.78,
Medicare of $466.76, and unemployment insurance of $541.06.
a. What are the total benefits?
b. What is the rate of benefits?

Answers

In linear equation,$7185.33 is the total benefits.

What are a definition and an example of a linear equation?

An equation with only one variable is referred to as a linear equation in one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.

the total benefits of Juan Fuentes = $1,881.73 + $2,300.00 + $1,995.78 +          

                                                           $466.76 + $541.06

                                                          = $7185.33

the rate of benefits of Juan Fuentes =  $1,287.60

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