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

Round 15.78947368 to two decimal
Places

Pls pls helppp

Answers

Answer:

= 15.79

Step-by-step explanation:

Find the number in the hundredth place (8) and look one place to the right for the rounding digit (9). Round up if this number is greater than or equal to 5 and round down if it is less than 5.

The given number i.e. 15.78947368 rounded to two decimal places is 15.79.

Given that,

The given number is 15.78947368.Here we have to rounded in 2 decimal places.

Based on the above information, the calculation is as follows:

Here we have to check whether the digit is below 5 or above. If is above so the next number should be rounded.

Like 15.789

Here 8 is greater than 5

So for two decimals it is 15.79.

Therefore we can conclude that the given number i.e. 15.78947368 rounded to two decimal places is 15.79.

Learn more: brainly.com/question/13549064

The temperature at 6:00 am in New York was -7 °C. At 2:00 pm the
temperature in New York was 7 °C. What was the change in the temperature
temperature?

Answers

Answer

10 degrees c

Step-by-step explanation:

14 degrees Celsius because to get from -7 to 7 you need to add 7 to get to 0, then another 7 to get to 7.

Look at the table. Bob ran 3 miles in 18 minutes. Complete the table:

Answers

Answer:

First one, Third one, Fifth one, and the last one too.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, make a ratio:

18 min/ 3mile = 6 min/mile

now multiply to finish the table:

1: 6

3: 18

5: 30

10: 60

25: 150

find the length indicated​

Answers

Answer:

ST = 5

Step-by-step explanation:

RT = 7

Subtract the RS, which is 2.

You get, ST = 5.

If 72 is 9 times larger than 8, which statement below is true?
A) 8 is 72 times larger than 9
B) 72 is 8 times larger than 9
C) 9 is 8 times larger than 72
D) 8 is 9 times larger than 72

Answers

B - because 72 is 9 times larger than 8. Therefore, 72 is also 8 times larger than 9. You can flip multiplication around just like addition.

1/9 of 54 bottles of water = ? bottles

Answers

Answer:

6

Step-by-step explanation:

If you divide 54 in 9 parts it will come out to 6, to check this work divide 54 by 6.

6

Step-by-step explanation:

First you would turn it into a decimal to get .111 repeating then you would multiple it by 54 to get 5.99 repeating do you would round up to get 6

What is the factorization of the expression below?
25x^2 - 36
A. (5x+6)(5x-6)
B. (5x-6)(5x-6)
C. (5x- 4)(5x-9)
D. (5x + 4)(5x-9)

Answers

i think its D????????????????????????


5x5 = 25
9 x 4 = 36
- and a + equals a -



Answer: The answer is A, (5x+6)(5x-6)

Step-by-step explanation: The negative and positive 6 will cancel out the regular X, meaning that 25x^2 and -36 are the only numbers left.

dose anybody know this? could you provide the step by step

Answers

17 people because if they spend $300 the equation 300=5p+215, then subtract 215 on both sides then it would be 85=5p and then you divide 5 by 85 and you have 17 (sorry if i’m wrong!)

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

kala needs to make a total of 80 deliveries this week. So far she has completed 28 of them. What percentage of her total deliveries has kala completed?

Answers

Answer:

35 %

Step-by-step explanation:

50 % of 80 is 40 so 28% of 80 is 35%

if you just divide  80 by 28 you will get 35.

what is the average rate of change for the line graphed in the figure above

Answers

Answer:

5/8

Step-by-step explanation:

I used the slope formula of y2-y1/x2-x1

-2(x -3) what number should be distributed

Answers

Answer:

-2

Step-by-step explanation:

-2 needs to be distributed to the rest of the equation so that gives you -2x+6

-2

-2 is on the outside of the parentheses, meaning it should be distributed to everything inside the parentheses

so, -2(x-3) is actually (-2x) + (-2 *-3)

what do reflections have that dilation do not

Answers

Answer:

A reflection is the same just on the opposite side a dilation enlarges or enhances it along with flipping it thats what makes them different please give me brainliest.

-x + 7 <10
Solving inequalities

Answers

Answer:

x>-3

Step-by-step explanation:

−x+7<10

Step 1: Subtract 7 from both sides.

−x+7−7<10−7

−x<3

Step 2: Divide both sides by -1.

−x−1<3-1

x>−3

Slope 6, passing through (-4,2)

Answers

y=6x+26



y-y1=m(x-x1)

y-2=6(x-(-4))

y-2=6x+24

y=6x+24+2

y=6x+26

the length of the swimming pool is 8 m longer than its width and the area is 105 m squared write in quadratic equation ​

Answers

Answer:

Step-by-step explanation:

The length of the swimming pool is 8m longer than it's width.

If we say L = length, W = width

From the information above, we can say

L= 8 + w

We are also told the area is 105 m squared.

Note:

Area of a Rectangle = Length x Width

105 =  (8 + w ) x w

[tex]105 = 8w + w^2\\[/tex]

Subtract 105 from both sides:

[tex]w^2 + 8w - 105 = 0[/tex]

Triangle ABC has vertices A (1,1) B (7,1) C (4,9) (A)Find the perimeter of triangle ABC. (B) Find the area of triangle ABC​

Answers

9514 1404 393

Answer:

perimeter = 6+2√73 ≈ 23.09 unitsarea = 24 units²

Step-by-step explanation:

It can help to draw a figure.

The altitude of this isosceles triangle is 8 units, and it splits the base into equal lengths of 3 units. Using the Pythagorean theorem, we find the length of a side to be ...

  BC = AC = √(3² +8²) = √73

The perimeter is the sum of the lengths of those two sides and the base:

  P = 2(√73) +6 ≈ 23.088 . . . units

The area is given by the formula ...

  A = 1/2bh

  A = (1/2)(6 units)(8 untis) = 24 units²

__

The perimeter is 6+2√73 ≈ 23.09 units.

The area is 24 units².

Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.

Answers

Answer:

10

Step-by-step explanation:

For movie mania:

Sign-up fee = $ 20

Rent for 1 DVD = $ 4.00

For Hurricane video:

Sign-up fee = 0

Rent of 1 DVD = $ 6.

Let [tex]n[/tex] be the number of DVDs to rent in order for both stores to charge the same.

For movie mania, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs

=20+4n

For Hurricane movie, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs

=0+6n=6n

Now, for both stores to charge the same, both the charges must be equal, we have

6n=20+4n

[tex]\Rightarrow 6n-4n=20[/tex]

[tex]\Righatarroe 2n=20[/tex]

[tex]\Rightarrow n =20/2=10[/tex]

Hence, the required number of DVDs to rent is 10 in order for both stores to charge the same.

b)
2x-5=2(x-1)
Ayuda

Answers

La respuesta es x=2/3 espero que esto ayude :))

if X = 5 then 3( 2X - 4) - X

Answers

Answer:

13

Step-by-step explanation:

Answer:

well if you're looking for the answer, it is: 13

Step-by-step explanation:

Complete the square to write 16t² - 96t + 48 = 0

Answers

Answer:

first part:

(t-3)^2=6

second part:

0.55

5.45

Step-by-step explanation:

answer on edge uity

Complete square form of the equation  16t² - 96t + 48 = 0 is (t -3)² = 6.

What is a quadratic equation?

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

The given quadratic equation is,

16t² - 96t + 48 = 0

To find the square for the quadratic equation,

Simplify the quadratic equation,

16(t² - 6t + 3 ) = 0

Add 96 in whole equation,

16(t² - 6t + 3 + 6) = 16 x 6

16(t² - 6t + 9) = 96

t² - 6t + 9 = 96 /16

t² - 6t + 9 = 6

(t -3)² = 6

The required square form of the equation is (t -3)² = 6.

To know more about Quadratic equation on:

https://brainly.com/question/17177510

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A movie club charges a one-time
membership fee of $30. It allows
members to purchase movies for $7
each. Another club does not charge
a membership fee and sells movies
for $12 each. How many movies
must a member purchase for the
total cost of the two clubs to be the
same? Write an equation, and solve
the equation to determine the
solution.

Answers

Answer:

Step-by-step explanation:

Club A charges $30 membership fee and charges $7 for each movie.

You can write this as :

A = 30 + 7m  (where m = number of movies)

Club B charges no membership fee and it costs $12 for each movie.

B = 12m

If we want to find how many movies a member must purchase for the total cost of the two clubs to be the same, this means we are trying to solve for "m" (number of movies) when A = B.

30 + 7m = 12m

Now you can just subtract 7m from both sides.

30 = 5m

Divide both sides by 5 to find "m'.

m = 30/5 = 6

Therefore a member must purchase 6 movies

b) Simplify 2-(3-a) = -4

Answers

Answer:

-1+a

Step-by-step explanation:

2-(3-a) = (2-3-(-a)) = -1+a  

Answer:

a=-3

Step-by-step explanation:

First off subtract 2 from both sides:

-(3-a)=-6

Then distribute the negative:

-3+a=-6

Finally add 3 to both sides:

a=-3

tadah!!

Hope that helps.

3x + 2y + z = 7 2x + 3y - z = 8 5x + y + 2z = 11

Answers

Answer:

x = 3,    y = 0,      z = −2

Step-by-step explanation:

Help mePLEASE please

Answers

Answer:

use snipping tool

Step-by-step explanation:

next time, screenshot it. taking a picture of a screen makes the picture look bad. you can use the Windoes snipping tool for that.

Select each polynomial expression that could be factored by grouping.​

Answers

Answer:

The 2nd and 3rd option

Step-by-step explanation:

They can be separated into 2 pairs and factored

What’s the surface area to these 2 pls help me

Answers

Answer:

the answer is 40

Step-by-step explanation:

its simple try and do the link that I put you'll understand how to do this better

Which expression converts 100 inches per minute to feet per minute?

StartFraction 100 inches Over 1 minute EndFraction × StartFraction 60 minutes Over 1 hour EndFraction
StartFraction 100 inches Over 1 minute EndFraction × StartFraction 1 hour Over 60 minutes EndFraction
100 inches Over 1 minute times × StartFraction 1 foot Over 12 inches EndFraction
100 inches Over 1 minute times × StartFraction 12 inches Over 1 foot EndFraction

Answers

Answer:

100 inches Over 1 minute times × 1 foot Over 12 inches

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

what is 7/8 times 3 1/4

Answers

Answer:

hi friend , your answer would be 7/8 x 3  1/4 = 91 /32 in fraction form.

Step-by-step explanation:

so friend here is my explanation :

now you can see you are multiplying with a mixed fraction .

so :

convert the mixed fraction into improperto convert into improper fraction , you have to :denominator x whole no . part + numerator 4 x 3 + 1  =  13 / 4 now you multiply 7/ 8 x 13/491 / 32 now convert this to mixed fraction because it is in improper form that will be 2  27 / 32

hope this helps , pls mark as brainliest .

The value of 7/8 times 3  [tex]\frac{1}{4}[/tex] is 91 /32.

What is multiplication?

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that the expression is 7/8 times 3  [tex]\frac{1}{4}[/tex].

Here we are multiplying fraction to mixed fraction.

We will convert mixed fraction to improper fraction.

To convert into improper fraction,

we will use the formula;

fractional number = denominator x whole no . part + numerator

numerator part of fractional number = 4 ×3 +1 = 13

Now we have 13/4

Multiply 7/ 8 x 13/4 = 91 / 32

Therefore , the 7/8 times 3  [tex]\frac{1}{4}[/tex] is 91/32.

To learn more about the multiplication;

https://brainly.com/question/19634536

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A patient is placed in an elliptical tank that is 178 centimeters long and 102 centimeters wide to undergo sound wave lithotripsy treatment for kidney stones. Determine where the sound emitter and the stone should be positioned relative to the center of the tank

Answers

Complete Question

The  diagram for this question is shown on the first uploaded image

Answer:

The position of the emitter is  [tex]E =  +  72.9 \  cm\ from\ the\ center [/tex]

The position of the stone is   [tex]S =  - 72.9 \  cm\ from\ the\ center [/tex]

Step-by-step explanation:

From the question we are told that

   The  length is  l =  178 cm

    The  width is  w  =  102 cm  

Generally the position of the stone along the horizontal axis is mathematically evaluated as

         [tex]h  =  \frac{178}{2}[/tex]

=>      [tex]h  = 89 \  cm   [/tex]

Generally the position of the emitter along the vertical axis is mathematically evaluated as

         [tex]k =  \frac{102}{2}[/tex]

=>      [tex]k  = 51 \  cm   [/tex]      

Generally the  resultant position of both stone and the emitter is

       [tex]R  =  \pm \sqrt{h^ 2  - k^2}[/tex]

=>     [tex]R  = \pm  \sqrt{89^ 2  - 51^2}[/tex]

=>     [tex]R  = \pm 72.9 \  cm   [/tex]

Hence the position of the emitter is  [tex]E =  +  72.9 \  cm[/tex]

            the position of the stone is   [tex]S =  - 72.9 \  cm[/tex]

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