Find z

Help me please

Find ZHelp Me Please

Answers

Answer 1

Answer: z=56

Step-by-step explanation:

Based on the figure, we can determine that 3y+8=68 and 4x=2z. With the knowledge that a trapezoid has 360°, we can first find the value of y to get the angle measures of the top angles. We can then subtract that from 360°.

3y+8=68        [subtract both sides by 8]

3y=60            [divide both sides by 3]

y=20

We now know the value of y is 20, but that is not relevant to solving this problem because we already know that the top angles are 68° each. So, we can subtract that from 360.

360-68-68=224

Now, we know that the bottom 2 angles have to add up to 224. Therefore, we can come up with 2 equations.

Equation 1: 4x=2z

Equation 2: 4x+2z=224

We can manipulate Equation 1 to be [tex]x=\frac{1}{2}z[/tex]. Once we plug that into Equation 2, we can find the value of z.

[tex]4(\frac{1}{2} z)+2z=224[/tex]         [multiply]

[tex]2z+2z=224[/tex]              [add]

[tex]4z=224[/tex]                      [divide both sides by 4]

[tex]z=56[/tex]

Now, we know that z=56.


Related Questions

write an expression for 8 less than 2 times a number
show your work ​

Answers

Answer:

Step-by-step explanation:

Let's call the number x. The statement "...2 times a number" if the number is x looks like this:

2x

"8 less than" that looks like this:

... - 8

Putting the whole thing together:

2x - 8

Can someone help me with this

Answers

Answer:

use system of equations

Step-by-step explanation:

Set one up for the Smith family and one for the Jones family

When Owen bought a remote-control helicopter, he agreed to pay a 9% shipping and handling charge. If Owen paid $4.86 in shipping and handling, how much must the helicopter have cost?

Answers

Answer:

The helicopter costs 54 dollars and 9% of 54 is 4.86.

Step-by-step explanation:

9% of what number = 4.86

... is equivalent to:

9% × ? = 4.86

---------------------------------

- Percent (%) means 'out of one hundred'-

(100 × 4.86) ÷ 9 =

486 ÷ 9 =

54

Find an ordered pair to represent t in the equation t = u + v if u = (-1, 4) and v = (3, -2)

Answers

Given:

[tex]u=(-1,4)[/tex]

[tex]v=(3,-2)[/tex]

The equation is:

[tex]t=u+v[/tex]

To find:

The ordered pair to represent t in the given equation.

Solution:

We have,

[tex]t=u+v[/tex]

Substituting the given values, we get

[tex]t=(-1,4)+(3,-2)[/tex]

[tex]t=((-1)+3,4+(-2))[/tex]

[tex]t=(-1+3,4-2)[/tex]

[tex]t=(2,2)[/tex]

Therefore, the ordered pair to represent t in the given equation is (2,2).

Helpppppp and explain pls

Answers

Answer:

option e

Step-by-step explanation:

It should be arranged in table form

Row ------> Classes

Column  -----> Courses

                     Sophomores           Juniors          Seniors

Biology                 110                        60                 20

Chemistry              50                        140               85

Physics                    17                         70                107

HELP ASAP PLEASE



Jeff and three of his friends want to join a basketball league. League rules say teams must have at least five players, but can not have more than twelve players. In interval notation, how many more people can join Jeff's team.

Answers

Answer:

8 more players

Step-by-step explanation:

There are already 4 players including Jeff, so in order to have more players, they need from 1-8 more players.

Have a good day!!!!

Can someone help me pls

Answers

Answer:

c = (E/m)^1/2

Step-by-step explanation:

Here, we want to solve for c in the given equation

what we have here is that;

E = m•c^2

Thus;

c^2 = E/m

So we have

c^2(*1/2) = (E/m)^1/2

c = (E/m)^1/2

3/4 + 5/4 with explanation and steps.... ​

Answers

Answer:

step 1

3/4+5/4

step 2

dinominator is same so we have to put 4

step 3

3+5/4

step 4

7/4

answer is 7/4

Answer:

2

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] + [tex]\frac{5}{4}[/tex]

Since the denominators are common, both 4 then add the numerators leaving the denominator

= [tex]\frac{3+5}{4}[/tex]

= [tex]\frac{8}{4}[/tex]

= 2

Which steps will verify that a parallelogram is a rectangle? Check all that apply.

Answers

To verify that a given parallelogram is a rectangle, you can calculate the lengths of all sides, and show that both pairs of opposite sides are congruent and calculate the slopes of every side, and show that adjacent sides are perpendicular.

Answer: 1st one and last one

Step-by-step explanation:

a bag contains three red marbles five blue marbles and seven green marbles.what is the ratio of blue marbles to the total number of marbles​

Answers

Answer:

5:15 simplified as 1:3

Step-by-step explanation:

How many distinct ways can the word EVANESCENCE be arranged if the anagram must end with the letter E?

hint... 10!/2!3!2! = 151,200

Answers

Answer:

151200

Step-by-step explanation:

We can start by essentially taking off the E at the end, meaning that we want to find all the combinations of

EVANESCENC. We can do this because the combinations will have an E at the end by default.

To solve this, we have to figure out the amount of letters and the amount of each letter. There are 10 letters, with 3 E's, 2 C's, 2 N's, 1 S, 1 V, and 1 A. Using the formula [tex]\frac{n!}{n1!n2!...nk!}[/tex] , with n representing the amount of letters and each subset of n representing the amount of each letters, our answer is

[tex]\frac{10!}{3!2!2!1!1!1!} = \frac{10!}{3!2!2!} = 151200[/tex]

PLEASE HELP!!! Which choice is a solution to the system of equations below?

A. There are infinitely many solutions

B. (-4, 1)

C. (4, -1)

D. (3, 4)

Answers

Answer:

A.

Step-by-step explanation:

4y = 12x + 16

3x = y - 4

=>

y = 3x + 4

using that in the first equation

4(3x+4) = 12x + 16

12x + 16 = 12x + 16

=> both lines/equations are identical, so they have infinitely many solutions.

3. Length of a cubic container is 20 cm .A cube with a length of edges 5 cm will be used to take some water from a water barrel. Determine the maximum number of cubes that need to use to fill the container with water.​

Answers

We have l = 20 * 20 * 20 = 8000 cm3

One cube will have l = 5 * 5 * 5 = 125 cm3

-> The maximum number of cubes that need to use to fill the container with water is 8000 / 125 = 64

A daycare center operator wanted to survey her parents to determine if they were interested in the center providing once-a-month Saturday night care for their children. Rather than survey all 254 parents, the operator took the list of parents' names and, starting with the third parent's name, surveyed every twelfth parent. What type of sampling did the daycare operator use

Answers

Answer:

Systematic Sampling

Step-by-step explanation:

According to the Question,

systematic sampling is a statistical method involving the selection of elements from an ordered sampling frame. The most common form of systematic sampling is an equiprobability method. In this approach, progression through the list is treated circularly, with a return to the top once the end of the list is passed. The sampling starts by selecting an element from the list at random and then every Kth element in the frame is selected.

So, systematic sampling is right Answer.

Answer:

Systematic Sampling

Step-by-step explanation:

What type of sampling did the daycare operator use Systematic Sampling.

find the coefficient of variation from the following data mean=4 variance=25​

Answers

hi i’m having a mental breakdown right now i just need answers

A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 12 ft, what percentage of the total capacity is being used

Answers

Answer:

"85.7%" is the right answer.

Step-by-step explanation:

According to the question,

The total capacity of water tank will be:

⇒ [tex]v_1=A\times 14[/tex]

The total volume of water will be:

⇒ [tex]v_2=A\times 12[/tex]

Now,

The percentage of total capacity will be:

= [tex]\frac{100\times v_2}{v_1}[/tex]

= [tex]\frac{v_2}{v_1}\times 100[/tex]

By putting the values, we get

= [tex]\frac{A\times 12}{A\times 14}\times 100[/tex]

= [tex]85.7[/tex]%

Consider the probability distribution shown below. x 0 1 2 P(x) 0.15 0.80 0.05 Compute the expected value of the distribution. (Enter a number.) Compute the standard deviation of the distribution. (Enter a number. Round your answer to four decimal places.)

Answers

Answer:

Expected value =0.9

Standard deviation = 0.4359

Step-by-step explanation:

Let's use the formula to find expected value or mean.

Expected value =Σ x *P(x)

  x    0    1     2

P(x) ) .15  .8  .05

So, expected value = (0)(0.15) +1(0.8)+2(0.05)

                                = 0 +0.8 +0.1

                                =0.9

Expected value =0.9

Now, let's find standard deviation

x           [tex](x- E(x))^{2}[/tex]         [tex](x-E(x))^{2} *p(x)[/tex]

0           [tex](0-0.9)^{2}[/tex]            [tex](0-0.9)^{2} *0.15[/tex]  =0.1215

1            [tex](1-0.9)^{2}[/tex]            [tex](1-0.9)^{2} *0.8[/tex]    =0.008

2           [tex](2-0.9)^{2}[/tex]             [tex](2-0.9)^{2} *0.05[/tex]  =0.0605

Now, add the last column together and then take square root to find standard deviation.

Standard deviation of the distribution =[tex]\sqrt{0.1215+0.008+0.0605)}[/tex]

Simplify it, so standard deviation =0.4358898...

Round the answer to nearest four decimal places

Standard deviation = 0.4359

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
7/12
There are 84 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.

Answers

Answer:

49

Step-by-step explanation:

The probability of choosing a red marble is equal to the number of red marbles over the number of total marbles there are.

Therefore, let the number of red marbles be [tex]x[/tex].

We have the following equation:

[tex]\frac{x}{84}=\frac{7}{12}[/tex]

Cross-multiplying, we get:

[tex]12x=7\cdot 84,\\x=\frac{84\cdot 7}{12},\\x=\boxed{49}[/tex]

Therefore, there are 49 red marbles in the bag.

How many numbers? How many numbers are there from 421 to 430? How many numbers are there from 567 to 573? How many numbers are there from 890 to 898?

what method you used to find out the numbers between one number and another

Answers

Answer:

9,6,8 but if you mean like all the numbers its infinite because you can add decimals and the number will never end

Convert 6 centimeters per second to miles per hour.
0.13 mph
7.87 mph
0.07 mph
5.87 mph

Answers

Answer:

A, 0.13 mph.

Step-by-step explanation:

To get that, divide the cm/sec by 44.704.

6/44.704 ≈ 0.13

Find the area of the parallelogram. If necessary, round to the nearest whole number.
6 in
5 in
8 in

Answers

Answer:

40

Step-by-step explanation:

A = base x height

8 is base

5 is height (the height has to be perpendicular to the base. That's what the little square denotes. Along with the angle being 90°.

A = 8 x 5

A = 40

Does (2, 1) make the equation y = 8x true? yes no​

Answers

Answer:

No

Step-by-step explanation:

Because 1 don't equal to 16

Answer:

no

Step-by-step explanation:

* means multiply

(2,1)

x = 2

y = 1

just plug in the numbers

1 = 8*2 ?

1 = 16? no

someone help me please with this algebra homework

Answers

Answer:

the 4th option

Step-by-step explanation:

the 4th one

Answer:

D. 2.99x + 12.99y = 43.92

Step-by-step explanation:

1 pair of socks costs $2.99

x pairs of socks cost 2.99x

1 blouse costs $12.99

y blouses cost 12.99y

The total cost is the sum of the two costs

2.99x + 12.99y

We are told the total cost is $43.92

2.99x + 12.99y = 43.92

Answer: D. 2.99x + 12.99y = 43.92

what's the answer for 36x² - 84xy + 49y²​

Answers

Answer:

(6x-7y)(6x-7y).

Step-by-step explanation:

.

Answer:  

36x² - 84xy + 49y² =

6²x² - 2 (6x) (7y) + 7²y² =

(6x - 7y) ²

Answer.

(6x - 7y) ²

8. Write the equation for a line that has a slope of 5 and a y-intercept of
negative 12.

Answers

Answer:

[tex]y=5x-12[/tex]

Step-by-step explanation:

This is in slope-intercept form, [tex]y=mx+b[/tex] where [tex]m[/tex] stands for the slope and [tex]b[/tex] stands for the y-intercept.

Hope this is helpful.

Step-by-step explanation:

equation of the line is given by the equation

y=mx+c

in this question you are given the slope (m) as 5 and the y intercept (c) as -12

therefore the equation will be

y=5x+(-12)

y=5x-12

Can someone help and explain this to me,if you do it means a lot :)

Answers

Answer:

0 zero

Step-by-step explanation:

you must find gf(x) first

g[ f(x) ] = g [ 2 + 1 ]

= 3-2+x which is you sub fx tu g

g [ f (-1) ] = 3-2-1

=0

If the endpoints of AB are located at (0,7) and (8,8) what is the length of AB?

Answers

Answer:

√65

Step-by-step explanation:

The distance formula can be represented as

[tex]\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}[/tex]

Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have

[tex]\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}[/tex]

as our answer

The following system of equations represents the total distance a flight from point A to point B flies based on its initial, I, and return, R, journey speeds, as well as the total time in the air for the round trip. Determine the amount of time each leg of the journey takes.
120I+200R=2000
I+R=15

10 hours, 5 hours
12 hours, 20 hours
12.5 hours, 2.5 hours
No Solution

Answers

Answer:

ewan ask mo kay ma'am para alam mo po

A cyclist travels 5 miles in 15 minutes.
What is her average speed in mph?

Answers

S=d/t

15 minutes = 0.25 hour

S=5/0.25

S= 20 miles per hour

If n orange juice is made up of concentrate and water in the ratio 3:8. What fraction of the mixture is concentrate?​

Answers

Answer:your answer should be 2

Step-by-step explanation:

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