Given that the measure of X is 57° and the measure of y is 51° find the measure of z 

Given That The Measure Of X Is 57 And The Measure Of Y Is 51 Find The Measure Of Z

Answers

Answer 1

9514 1404 393

Answer:

  132°

Step-by-step explanation:

Name the vertex of each angle the same as the angle letter. Name the intersection of the "horizontal" and "vertical lines" point Q.

Angle ZXQ is vertical to ∠x, so is the same measure.

Angle YQX is the value that makes the sum of angles in triangle XYQ be 180°. That is ...

  ∠YQX = 180° -51° -57° = 72°

This is also the measure of its vertical angle in the other triangle. Angle z is the sum of that vertical angle and 60°, so we have ...

  ∠z = 72° +60°

  ∠z = 132°

_____

Additional comment

The relations we used are ...

vertical angles are congruentsum of angles in a triangle is 180°an exterior angle is equal to the sum of the remote interior angles

Related Questions

what two numbers multiply to equal -27 but adds up to equal -6

Answers

Answer:

-9 and 3

Step-by-step explanation:

as -9×3= -27

and

-9+3= -6

How many different 12 member juries can be chosen from a pool of 20 people?

Answers

Answer:

1,007,760

Step-by-step explanation:

This is a question that bothers on selection

Using the combination formula

nCr  = n!/(n-r)!r!

20C12 = 20!/(20-12)!12!

20C12 = 20!/8!12!

20C12 = 20*19*18*17*16*15*14*13*12!/8!12!

20C12 = 20*19*18*17*16*15*14*13/8!

20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2

20C12 = 5,079,110,400/5040

20C12 = 1,007,760

Hence this can be done 1,007,760 different ways

I NEED HELP WITH THIS QUESTION QUICK PLEASE!!

Answers

Answer:

y=5x+6

Step-by-step explanation:

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y=1/2x

Step-by-step explanation:

math is math ‍

Divide twice the variable p by the product of 5 and q

Answers

Answer:

Step-by-step explanation:Solution :

Given variable = p

According to the problem given ,

Twice the variable p divided by the

product of 5 and q

= ( 2p )/ ( 5q )

= 2p/5q

i’m having trouble on my last one

Answers

Answer: 52

Step-by-step explanation:

First, divide 13 by the total amount of shows, 19. Then, divide 76 by 19. This results in 4, which when multiplied by 13, results in 52. To check the answer just divide 52/76 and you should get the same number as with 13/19.

24=3(n-5) what does n equal​

Answers

n=13 is the right answer

Answer:

The answer is n = 13

Step-by-step explanation:

1) Divide both sides by 3.

[tex] \frac{3}{24} = n - 5 [/tex]

2) Simplify 24/3 to 8.

[tex]8 = n - 5[/tex]

3) Add 5 to both sides.

[tex]8 + 5 = n[/tex]

4) Simplify 8 + 5 to 13.

[tex]13 = n[/tex]

5) Switch sides.

[tex]n = 13[/tex]

Therefor, the answer for this equation is n = 13.

30 Between what two standard deviations of a normal distribution contain 68% of the data?
a) one below and one above
b) two below and two above
d) zero and two above
C) two below and zero

Answers

d

man i think its d or b maby

Answer: the answer is A (one below and one above)

Step-by-step explanation:

68% of data falls within ONE standard

95% falls within two standard deviation

And 99.7% falls within 3

please help !!!! asap

Answers

Answer:

y = 1

Step-by-step explanation:

-3y + 14 + y = 12

-3y + y + 14 = 12

-2y + 14 = 12

-2y + 14 - 14 = 12 - 14

-2y = -2

-2y/-2 = -2/-2

y = 1

Answer:

y=1

Step-by-step explanation:

Hey There!

So to solve this type of problem we use inverse operations

-3y+14+y=12

step 1 subtract 14 from each side

14-14

12-14=-2

now we have

-3y+y=-2

step 2 combine like terms

-3y+y=-2y

now we have -2y=-2

step 3 divide each side by -2

-2/-2=1

so we can conclude that y=1

What is the value of (-5/8) x (-1/10) divided by (-3/5)?

Answers

Answer:

-5/48

Step-by-step explanation:

Simplify

Which of the following the scenarios represent an exponential relationship?


(A) A car with an initial value of $32,000 is depreciating in value at a rate of 8.5% each year

(B) A job pays a base salary of 12,000 and increases annually at a rate of 7

(C) A car can be rented for $35 a day

(D) A job pas a 23,000 salary plus 5% commission on sales

(E) Johnny is saving for college by setting aside $1,000 into a piggy bank and then contributes $30 a month

Answers

Answer:

A) A car with an initial value of $32,000 is depreciating in value at a rate of 8.5% each year

(B) A job pays a base salary of 12,000 and increases annually at a rate of 7%

Someone help please need help urgent. Asap please check. I know for sure it’s not C. But just please help

Answers

Answer:

D. 2 = 2

Step-by-step explanation:

Whenever you try to solve an equation and you just end up with a number = a number that means there is an infinite number of solutions.

What is the value of the expression below when n =
2.4?
An X 2 + 13

Answers

Answer:

34 because if u add the to the y

Step-by-step explanation: it would give u 34

If a triangle is reflected across the y-axis, what are the coordinates of the image of point F? Use FGH to answer the question.

Answers

The answer is D. You just move 10 units down from point F.

I need help on this question

Answers

answer is A im a full course teacher for this subject
the answer would be A

The Department of Homeland Security wants to test a computer virus that it has developed to combat hackers. They plan to test run the virus on randomly selected computers with pre-set "hacker" programs.

choose one:

-census

-cluster sampling

-convenience sampling

-simple random sampling

-stratified sampling



choose one:

-experiment

-observational study

-simulation

-survey

Answers

Answer:

Simple random sampling  

Observational study

Step-by-step explanation:

Since in the given situation it is mentioned that department wants to test the computer virus and have to run the virus on the random selected computers so here the simple random sampling would be done and based on the simple random sampling the observational study would be done

Therefore the above represent the answer

Answer:it is simple random sampling but the collection method is not observational study I got that part wrong

Step-by-step explanation:

Please help me with this

Answers

Answer:

8

Step-by-step explanation:

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. Therefore if you look at the chart you can see that one more people get 8 than 9, 10, or 5.

Hope this helps

Please inform me if I have made a mistake, I enjoy learning from my mistakes:)

Maddie

Write 3/10 as a
percent.

Answers

Answer:

Answer: 3/10 can be written as 30 percentage.

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

Divide 3 by 10:

Multiply this decimal by 100 to find the percentage:

3/10 in percent form is 30%.

M = 19 - 3 please ANSWErrrr

Answers

Answer:

16

Have a great day!

M=16
19-3 is 16, so there’s you answer

12ft long, 3.5ft width, 1.25ft tall. What is the volume?

Answers

Answer:

52.5

Step-by-step explanation:

You need to multiply l*w*h (length times width times height). In this case, the equation would be 12*3.5*1.25, which would equal 52.5.

Answer:

52.5

Step-by-step explanation:

length*width*hight

l*w*h

cara played a card game using a deck of 52 cards after she dealt the same number of cards to 4 players she had 24 cards left over how many cards did each player get

Answers

Answer:

7

Step-by-step explanation:

Assume each player get x cards. Total number of cards now is 4x+24=52.

Therefore, 4x=52-24=28.

Then, x= 28/4=7.

WILL MARK BRAINLIEST! Solve for X in the provided picture. Thank you!

Answers

Answer:

122

Step-by-step explanation:

better make me brainliest

3.2n as a algebraic expression

Answers

Answer:

I believe it's 3.2*n

Step-by-step explanation:

How many joules of gravitational potential energy does a 15 kg object have when it is lifted from the floor and held 0.6 meters above the ground?

Answers

Answer:

88.29joules

Step-by-step explanation:

mgh=gravitational potential energy

(15kg)(9.81)(0.6)= 88.29joules

Solve the following problem. Round answer to two decimal places when necessary.
A = 4
B = 9
C = 11
D = A + 2B - C
D = ?

Answers

Answer:

D = 11

Step-by-step explanation:

A = 4

B = 9

C = 11

D = 4 + (2 * 9) - 11

D = 4 + 18 - 11

D = 22 - 11

D = 11

brainliest plz

x = y + 1/2 ordered pair: (–5, –2)

1. The ordered pair IS a solution to the equation

2. The ordered pair IS NOT a solution to the equation

Answers

Answer:

2. The ordered pair IS NOT a solution to the equation

Step-by-step explanation:

-2+1/2=-1.5

-x^2+4x-8
axis of symmerty​

Answers

Answer:

[tex]\boxed {\boxed {\sf x=2}}[/tex]

Step-by-step explanation:

The axis of symmetry can be calculated using the formula:

[tex]x=\frac{-b}{2a}[/tex]

First we must determine a and b from the quadratic: [tex]-x^2+4x-8[/tex]. This is in standard form, with the highest power first in descending order.

Standard form is also: [tex]ax^2+bx+c[/tex]

If we compare this to the quadratic given, we can conclude that:

[tex]a= -1 \\b= 4 \\c= -8[/tex]

Substitute the values for a and b into the formula.

[tex]x= \frac{-(4)}{2(-1)}[/tex]

Multiply in the denominator.

[tex]x=\frac {-4}{-2}[/tex]

Divide.

[tex]x=2[/tex]

This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.

RQ= x+1 QP=7 RP=2x+8 solve for RP

Answers

Answer:

RP = 8

Step-by-step explanation:

RQ + QP = RP (segment addition theorem)

(x + 1) + 7 = 2x + 8 (substitution)

Add like terms

x + 8 = 2x + 8

8 - 8 = 2x - x

0 = x

x = 0

✔️RP = (x + 1) + 7

Plug in the value of x

RP = (0 + 1) + 7

RP = 1 + 7

RP = 8

Find the missing sides of the triangle. Leave your answers in simplest radical form.

Answers

Answer:

B) x=2, y=2

Step-by-step explanation:

B.

It’s a 90-45-45 triangle, so the hypotenuse is x√2, and the other two sides are x.  Since this x is 2, the other two sides are 2.

Write the standard equation of the circle with center (-12, – 7) that passes through the point (-3,7).

Answers

Answer:

[tex](x + 12)^2 + (y + 7)^2 = 277[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which r is the radius.

Center (-12, – 7)

This means that [tex]x_0 = -12, y_0 = -7[/tex]. So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - (-12))^2 + (y - (-7))^2 = r^2[/tex]

[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]

Passes through the point (-3,7).

This means that we use [tex]x = -3, y = 7[/tex] to find the radius squared. So

[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]

[tex](-3 + 12)^2 + (7 + 7)^2 = r^2[/tex]

[tex]81 + 196 = r^2[/tex]

[tex]r^2 = 277[/tex]

The equation of the circle is:

[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]

[tex](x + 12)^2 + (y + 7)^2 = 277[/tex]

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