How do I solve for x, y, and z? Please help ASAP.

How Do I Solve For X, Y, And Z? Please Help ASAP.

Answers

Answer 1

Answer:

x = 60 degrees, y = 120 degrees, z = 30 degrees

Step-by-step explanation:

To solve this problem, we must first recognize that the triangle on the left is an equilateral triangle.  This means that all of its side lengths are equal, which in turn means that all of its angles have the same measure.  Since we know the sum of the interior angles of a triangle must be 180, we can write and solve the following:

x + x + x = 180

3x = 180

x = 60 degrees

Next, we should notice that one of the 60 degree angles is supplementary with angle y, which means that their sum should equal 180 degrees.  This lets us write the following equation:

y + 60 = 180

When we subtract 60 from both sides to solve, we get:

y = 120 degrees

Finally, we should notice that the triangle on the right is isosceles.  This means that two of the side lengths (and thus two of the angles) are equal.  This means that the unmarked angle must also measure z degrees since the side lengths corresponding to these two side lengths are equal.  From this information we can write the following equation:

y + z + z = 180

If we substitute the value for y and solve, we get:

120 + 2z = 180

2z = 60

z = 30 degrees

Therefore, the correct answer is x = 60 degrees, y = 120 degrees, and z = 30 degrees.

Hope this helps!


Related Questions

Which input in this table is incorrect?

Answers

Answer:

I would say its D. 9.00

Step-by-step explanation:

C) A restaurant operator in Accra has found out that during the partial lockdown, if she sells a plate of her food for GH¢20 each, she can sell 300 plates, but for each GH¢5 she raises the price, 10 less plates are sold. What price in GH¢ should she sell the plates to maximize her revenue?

Answers

Answer:

Maximum price = GH¢85

Step-by-step explanation:

Let p be the number of times she raises the price as well as the number of times 10 less plates are sold

Revenue, R = number of plates sold * price sold

R = (300 - 10p)(20 + 5p)

R =  6000 + 1500p - 200p - 50p²

R = 6000 + 1300p - 50p²

50p² - 1300p - 6000 = 0

p² - 26p - 120 = 0

finding the axis of symmetry, p = -b/2a

p = -(-26)/2*1

p = 13

Maximum price = 13 * 5 + 20 = GH¢85

Number of plates sold = 300 - 10 * 13 = 170 plates

Maximum revenue = GH¢85 * 170 = GH¢14,450

Please help me!!
Geometry

Answers

Answer:

3

Step-by-step explanation:

M is the midpoint of AB. That means that 2 binomials are equal.

4n - 40 = 7* (-2n + 2)                Remove the brackets

4n - 40 = - 14n + 14                   Add 14n to both sides

4n+14n - 40 = -14n+14n + 14     Combine

18n - 40 = 14                             Add 40 to both sides

18n = 14 + 40                           Combine

18n = 54                                   Divide by 18

18n/18 = 54/18                          Combine

n = 3

write a situation to represent the equation y=0.5x

Answers

Answer:

Johnny earns 50 cents each hour, x.

Step-by-step explanation:

Answer:

Ariana wanted to buy cashews at the grocery store. Cashews are $0.5 per ounce. If Ariana has $10 how many ounces of cashews can she buy

Plz help!!! Will mark brainliest!!!!!!

Answers

The correct answer is 155

Can someone help me please please

Answers

Answer:

With? I dont see an image if you attached one

Step-by-step explanation:

y would be 90 and x is 61

Factor 54+27 using the GCF.

The factored expression is ?

Answers

Answer:

27(2+1)

Step-by-step explanation:

Its 27(2+1) because 27 is the GCF and it  goes into 54 and 27 then you divide 54/27 and then 27/27, at that point you have the numbers 2 and 1 then you just put them into the equeation. And BOOM just like that your finished.

Pls pls pls answer I’ll give you the brainlist!


Sorry If I spelled it wrong

Answers

Answer:

22

Step-by-step explanation:

You can just put it in your calculator

Answer:

22

Step-by-step explanation:

How do you describe sequences

Answers

A sequence is an ordered list of numbers . The three dots mean to continue forward in the pattern established. Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.
An ordered list of numbers such as 2,4,6,8,10 and so forth

ice cream store marks up price by 16% how much of original price was 1.25

Answers

Answer:

0.128

Step-by-step explanation:


Math
Jim baked 24 cupcakes for the upcoming bake sale. He also bought drinks.
Which sets below are factor pairs of 24?
A (3,6)
B (4.6)
C (6,8)
D (1, 24)
E (38)
Click Submit below if you want to finish the test and see the results
Save and Exit
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
26 27 28

Answers

your answer is b(4,6) explain: hajsjsjdjjshahshshsjsjsjjsjsjsjsjsjsjsjjsjsjsjs
The factor pairs are:
D (1,24)
B (4,6)
Because:
1 x 24 = 24
6 x 4 = 24

A circle has a diameter of 18 inches. If 1 inch is approximately 2.5 centimeters, what is the diameter in centimeters?

Answers

Answer:

45

Step-by-step explanation:

Your quiz must include at least one word problem the requires multiplication or division of decimal by a power for ten. Example: Dontae wants to buy 100 tiles for his kitchen floor. The tiles cost $2.35. How much he for all the tiles? (You may not use this problem.If you do, you will get no points

Answers

Answer:

Total cost= $235

Step-by-step explanation:

Giving the following information:

Dontae wants to buy 100 tiles for his kitchen floor. The tiles cost $2.35.

To calculate the total cost, we need to use the following formula:

Total cost= 2.35*x

x= number of tiles

For 100 tiles:

Total cost= 2.35*100

Total cost= $235

What is the remainder when 69,694 is divided by 93?

Answers

Answer:

37

hope this helps :3

37 is the remainder when 69,694 is divided by 93

What is Division?

A division is a process of splitting a specific amount into equal parts.

We have to find the remainder when 69,694 is divided by 93

The number which is getting divided here is called the dividend.

69694 is dividend

The number which divides a given number is the divisor.

93 is the divisor.

the number which we get as a result is known as the quotient.

The divisor which does not divide a number completely produces a number, which is referred to as remainder.

69694 can be written as (69657+37)

69657 is divisible completely by 93 and the remainder is 37.

Hence, 37 is the remainder when 69,694 is divided by 93

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ2

Which fraction is greater than the fraction represented by the model? A circle divided into 8 equal parts. 3 parts are shaded. One-fourth StartFraction 7 over 16 EndFraction One-eighth StartFraction 3 Over 16 EndFraction

Answers

Answer:

7/16

Step-by-step explanation:

Just took the test! :)

Answer:lol i agree

Step-by-step explanation:

10
Southside High School has a total of 1824 students. There are 84 fewer girls at Southside than boys.

Write an expression you can use to find out how many boys, b, there are at Southside.

How many boys are students at Southside High?

How many girls are students at Southside High?

Answers

Answer:

The expression you can use to find out how many boys is b + (b - 84) = 1824

There are 954 boys at Southside High School

There are 870 girls at Southside High School

Step-by-step explanation:

Assume that the number of boys in the Southside High School is b

∵ There are b boys in the Southside High School

∵ The number of girls is 84 fewer than boys

→ Subtract 84 from b to find the number of girls

∴ The number of girls in the Southside High School is (b - 84)

∵ Southside High School has a total of 1824 students

→ That means the sum of the numbers of the boys and the girls is 1824

∴ b + (b - 84) = 1824

∴ The expression you can use to find out how many boys is

   b + (b - 84) = 1824

→ Add the like terms in the left side

∴ (b + b) - 84 = 1824

2b - 84 = 1824

→ Add 84 to both sides

∵ 2b - 84 + 84 = 1824 + 84

2b = 1908

→ Divide both sides by 2 to find b

∵ [tex]\frac{2b}{2}=\frac{1908}{2}[/tex]

b = 954

There are 954 boys at Southside High School

∵ The number of girls at Southside High School = b -84

→ Substitute b by 954

∴ The number of girls at Southside High School = 954 - 84

∴ The number of girls at Southside High School = 870

There are 870 girls at Southside High School

HELP ASAP!
Find the LCM (least common multiple) of 30 and 22.

LCM =

Answers

Answer:330Hope this helps!!

The shape show that there are 4 squares for every

Answers

i would say 6 circles, so the second one.

Answer:

6 circles

Step-by-step explanation:

because yess

After Megan walked 5 miles, her activity tracker had counted 9,780 steps. David's activity tracker had counted 11,928 steps after he walked 6 miles. Suppose each person's step covers about the same distance. Who takes more steps to walk 1 mile? How many more steps?

Answers

Answer:

The answer is below

Step-by-step explanation:

Meghan covered 5 miles with 9,780 steps. The number of steps per mile = 9780 / 5 = 1956 steps per mile

David covered 6 miles with 9,780 steps. The number of steps per mile = 11928 / 6 = 1988 steps per mile

This means that David covered more steps per mile compare to Meghan. The number of more steps = 1988 - 1956 = 32

Therefore David had 32 more steps per mile

Rewrite the expression using a single, positive exponent: 14^-3x14^12

Answers

Answer:

14⁹

Step-by-step explanation:

When you're multiplying, you add the exponents. So, -3+12=9.

x/3 + 5 = 6.8

The x/3 is a fraction! please I need an answer!!!

Answers

Answer:

x=5.4

Step-by-step explanation:

x/3+5=6.8

     -5  -5

__________

x/3= 1.8

 *3

________

x= 5.4

A state lottery randomly chooses 8 balls numbered from 1 through 37 without replacement. You choose 8 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If​ so, identify a​ success, specify the values​ n, p, and q and list the possible values of the random variable x.

Answers

Answer: No, the experiment is not binomial

Step-by-step explanation:

From the formula for a binomial distribution :

nCx * p^k * q^(n - x)

n = number of trials (fixed)

x = number of success on trial

p = probability of success (which is the same for each trial).

q = (1 - p) = probability of failure (same for each trial)

Binomial experiment have binary outcome ; Either Success or Failure

The experiment described above :

Number of trials is satisfied (8 picks)

Binary outcome (matches on ticket or match does not exist).

HELP WIL GIVE BRAINLEIST

Answers

Answer:

Sorry and where is your questions..

X/2+3/8=1
What does x equal

Answers

Answer: X = 5/4

X/2 + 3/8 = 1

Subtract 3/8 from both sides.

X/2 = 1 - 3/8

Simplify 1 - 3/8

X/2 = 5/8

Multiply both sides by 2.

X = 10/8

Simplify 10/8

X = 5/4

Answer:

x=5/4

Step-by-step explanation:

Subtract 3/8 from both sides.

Then simplify.

Multiply both sides by 2.

And then simplify again.

Hope this helped! :)

SOME 1 HELP WITH 11 PLZZZZ

Answers

Answer: Tiffany got 45 questions right! Hope this helped.

Step-by-step explanation:

What is the equation of the line that passes through the point (2,-5) and is
perpendicular to y = 1/4x - 5? *
O y = -4x + 3
O y = 1/4x + 11/2
O y = -4x - 13
O y = -4X - 3

Answers

Answer:

y=-4x+3

if you bring (2,-5) in other three lines.

you will know that it will be unreasonable that

-5=10

-5=-21

-5=-11

A line with a slope of 1 passes through the point (18, 15). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.​

Answers

Answer:

y = x - 13

Step-by-step explanation:

Given parameters:

  Slope of the line  =  1

  Coordinate = (18, 15)

Unknown:

Equation of the line in slope-intercept format = ?

Solution:

The equation of a line is expressed as;

         y  =  mx + c

where y and x are the coordinates

          m is the slope

          c is the y-intercept

Now, sine x = 18 and y = 5, let us find c;

        5 = 1(18) + c

      5 = 18 + c

       c = -13;

 The equation of the line is;

       y  = 1(x) + (-13)

       y = x - 13

Which statement is not an example of a way a mineral can form?
O A. Dissolved substances crystallize on the bottom of a lake as
dolomite.
O B. A tourmaline crystal forms from magma cooling very slowly
underground.
Onc. Scientists grow a diamond under laboratory conditions.
O D. Pressure underground causes particles in rock to reorganize,
forming garnet

Answers

Answer:

Onc I think that is what that is but it is the scientist answe is the right answe

Step-by-step explanation:

This statement is not an example of a way a mineral can form as "scientists grow a diamond under laboratory conditions".

What is a Mineral Formation?

Minerals grow under a wide variety of geologic circumstances. There are probably more ways to produce minerals than there are different types of minerals. Minerals can occur as a result of volcanic gases, sediment formation, oxidation, magma crystallization, or saline fluid deposition, to name a few.

As per the question,

A. Dissolved substances crystallize on the bottom of a lake as

dolomite is an example of a way a mineral can form.

B. A tourmaline crystal forms from magma cooling very slowly

underground is an example of a way a mineral can form.

C. Scientists growing a diamond under laboratory conditions is not an example of a way a mineral can form.

Hence, the correct answer would be option (C).

Learn more about Mineral Formation here:

https://brainly.com/question/29751878

#SPJ5

````````````````````````````````````````````````````````````````````````````````````````````

Answers

Answer:

14 miles

Step-by-step explanation:

make it into an equation 1.50x+3=24 then solve

Putang ina mo gago ka

can u guys help with my one question i have left

Answers

Answer:

Weeks in a Year. A normal year has 365 days, which is 52 Weeks and 1 Day. A leap year has 366 days, which is 52 .

Step-by-step explanation:

hope this helps :)

Answer:

I think 6

Step-by-step explanation:

365/12=30.42

30.42/5= 6.08

Other Questions
What is a point.? endless flat surface,line that cross, an exact location a, straight path Write five general properties of minerals Svetlana won $1,000,000 in a contest, to be paid in twenty $50,000 payments at yearly intervals, the first payment paid at the time of the contest. (Of course, the present value of her winnings is less than $1,000,000.) Svetlana decided to keep X each year to spend and deposit the remaining $50;000 X into an account earning an annual effective interest rate of 5%. She chose the value X to be as large as possible so that, at the moment of the 20th deposit, the account would have grown to such a size that it would provide Svetlana and her heirs at least X per year in interest forever. Find X. use the slope formula (m=y2-y1/x2-x1) to find the slope of a line given two points. (1, 6) and (-3,0) (7,2) and (0,-5) (-7,-3) and (-6,-4) HELP ME PLEASE 10 POINTS PLEASE PLEASE Graphical information can be useful ina.Math onlyc.Science onlyb.Social Studies onlyd.All subjects Please help Its already due two angles are complementary.the measure of the larger angle is two times the measure of the smaller angle .What is the measure of each angle ? Mobilitas sosial 1. Dari faktor terjadinya, faktor pendorong dan faktor penghambat, silahkan kalian menyebutkan atau memberikan contoh masing-masing 3 2. Dari saluran mobilitas tersebut, silahkan kalian menyebutkan atau memberikan contoh masing-masing 2 3. Jelaskan dampak positif dan dampak negatif dari adanya mobilitas sosial Provide a couple of examples of prejudice, one regarding women, the other regarding a minority. Im in 7th grade and falling behind in math. I have a 74 any suggestion to keep focused any free apps? simplify the following expression: -4x^5y^4x x 5xy^7z^4 Most of the Southern United States was explored by the: f(n)= 4n+4g(n)= n + 1Find (f + g)(n) The [ Select ] the distance between the effort force and the fulcrum of a lever, the [ Select ] force is needed to complete the work. The [ Select ] the distance between the effort force and the fulcrum of a lever, the [ Select ] the mechanical advantage, making the work easier. Which stepped up the attack.What grammatical name is given to this expression? thank yu for heping me Let f(x) = 12 over the quantity of 4 x + 2 . Find f(1). (1 point) a 6b 2c 2d 6 a) Explain ONE specific political development that resulted from the conditions created by the religious policies described inthe passage.b) Explain ONE specific change to Muslim-Hindu relations that resulted from the conditions created by the religious policiesdescribed in the passage.c) Explain ONE specific consequence of the policies described in the passage on religious minorities. The box is filled with _______ items to be moved to the other room