Practice: Find the value of the variable(s) in each figure explain your reasoning.

Practice: Find The Value Of The Variable(s) In Each Figure Explain Your Reasoning.

Answers

Answer 1

Answer:

I'm assuming you know how to solve first degree equations, in particular how to move terms from one side to the other.

Top figure. The two angles measuring 3x and 5x-20 are congruent (they are alternate angles related to the two parallels and the transversal closing the triangle.. Now, if 3x = 5x-20 a simple solution is x=10. Now into the triangle, the sum of the internal angles has to be 180, and we already know how much x measures. 2y+4y+30 =180. Solve for y =25

Middle figure. From the bottom right corner, you can already tell that 2y+106= 180, or y=37. But 2y and x are congruent (corresponding angles), so x= 74. Pick the method you prefer to say that either 4z+6=106 (both angles are congruent to the one in the bottom corner since they're corresponding, thus they have to be equal to each other) OR 4z+6+x = 180 (they're conjugate angles to x, so their sum is 180). To get z=25

Bottom row in both cases, the two angles sum up to 90°

Left one: 4x-20+2x-16 = 90 so x = 21

Right one: 2x-30 +x+15= 90 so x = 35


Related Questions

what is 10/13 as a decimal rounded to the nearest hundredth

Answers

Answer:

.770

Step-by-step explanation:

An actor invested some money at 7% simple interest, and $27,000 more than four times the amount of 8%. The total annual interest earned from the investment was $54,030. How much did he invest at each amount?

Answers

The total annual interest earned from the investment is $36780

Calculate the frequency of a wave with a speed of 250m/s and a wavelength of 50m.


HELPPPPPPPPPPPPPPPPPPPPPPPP PLS

Answers

Answer:

formulas

frequency=speed/wavelength

f=250/50

f=50hz

The Clark family bought 8 crates of eggs last week. Each crate had 12 eggs. Since then, they have eaten 28 of the eggs. How many eggs are left?

Answers

8 • 12 -28

96 - 28

68

68 eggs are left.

A television weighs 50 pounds and a microwave
weighs 30 pounds. A TV occupies 4 cubic feet
and microwave occupies 3 cubic feet. A truck is
carrying 1500 pounds of cargo that occupies 138
cubic feet of space. Which system of equations
can be used to find the total number of
televisions, t, and microwaves, m, that are in the
truck?

Answers

Answer:

Step-50*t + 30*m = 1500,   (1)   (pounds)

4*t +  3*m = 138.    (2)   (cubic feet)

From (2), express 3m = 138 - 4t, and substitute it into (1). You will get

50t + 10*(138-4t) = 1500,  or

10t = 1500 - 1380  --->  10t = 1120  --->  t = 112 TVs.

From this point, find the number of microwaves on your own.

step by-step explanation:

help me please???????​

Answers

Answer:

The answer is 25.1 degrees.

Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?​

Answers

Answer:

100

Step-by-step explanation:

I need Help on this question

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Answer:

Step-by-step explanation:

22/25, 6, 6.21, 137/20, 6.885

You ordered several pizzas from
Tonys Pizzeria, The pizzas cost
$50 but you also have to pay 6%
tax and want to leave a 10% tip.
How much will you pay in total,
after the tax and tip?

Answers

It will cost you $58 after the tax and tip!

Hope this helped!! :)

Me ayudan a responder este asientos de contabilidad

1.- Pagamos a Seguros la Provincial, S.A. la póliza anual contra incendio, por $ 22,000.00 Más

IVA del 16%, con cheque certificado. Aplicar la primera amortización mensual.

2.- Emitimos cheque por el pago de la renta de un año, de la oficina de ventas en el centro. El

importe es de $ 24,000.00 + IVA del 16%. Además, se agrega el pago del depósito en ga-

rantía, que es por el importe de 3 meses de renta. Aplicar la primera amortización mensual.

3.- Pagamos con cheque la suscripción semestral al periódico Noticetis, S. A. para recibir un

ejemplar diario. Son $ 2,000.00 Más IVA del 16%. Aplicar la amortización mensual.

Answers

Answer:

???

Step-by-step explanation:

Vernon lives in New Mexico and pays 5% in sales tax. He bought an air conditioner, and the amount he paid after sales tax was $1527.75. What was the cost of the air conditioner before sales tax was applied?

Answers

1264$ is the cost of the air conditioner before sales tax was applied.

(Picture provided)

Helppppppp plsss

Answers

Answer:

100 degrees

Step-by-step explanation:

at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.

A recipe calls for 1/2 cup sugar and 1 cup flour. How much flour will you need if you use 3/4 cup of sugar?

Answers

Answer:

1 1/2 cups

Step-by-step explanation:

3/4 is 1 1/2 of 1/2, and 1 1/2 is 1/2 of 1

Answer:

1.5 cups of sugar

Step-by-step explanation:

3/4 divided by 1/2 is 1.5

please help me it's done in 4 mins I beg you ​

Answers

Answer:

the slope rise/run = 4/6

- Andy wants to rent a one-bedroom apartment in Green Acres. The apartment has a monthly rent of
$1,425. He must pay a $150 application fee, a security deposit that is equal to one month's rent and must
also
pay the last month's rent. His broker charges 5% of the yearly rent. How much is he expected to pay
up front in order to rent this apartment?

Answers

Answer:

$161.88

Step-by-step explanation:

1, 425 * 0.05 = 71.25 = yearly

71.25 / 12 = 5.94 = monthly

5.94 * 2 = 11.88 = for two months

11.88 + 150 = 161.88 = the amount he is expected to pay

Tell me if I'm wrong :)

A building is being constructed. When completed, it will be 596 meters tall. It currently stands at 77% of this height.

Answers

Answer:

458.92

Step-by-step explanation:

77%×596=458.92

First rewrite the expression by combining like terms 1/2(13x+5x-6-8x+14)=1/2

Answers

Answer:

1/2(10x+8)

Step-by-step explanation:

Combine like terms

13x+5x+(-8x) and -6+14

2. Charges imposed on citizens by local, state, and federal governments are called?
A.)debts
B.)income
C.) taxes
D.)tips

Answers

Answer:

Compulsory charges imposed on citizens by local, state, and the federal government. Employers withholding allowance certificate provides the percentage of gross to be withheld for taxes. It is a law for employers to withhold taxes from wages.

There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.

Answers

Answer:its a because its a

Step-by-step explanation:

Answer:

it is the letter a

Step-by-step explanation:

Last year the cost of a season ticket for a football club was £560.
This year the cost of a season ticket for the club has been increased to £600.
Write down the increase in the cost of a season ticket as a fraction of last year's cost.

Answers

Answer:

The cost increased by 1/14

Step-by-step explanation:

Solve to get cake, cookies and a hug

Answers

First find the length of the line in the middle.

c^2=5^2 + 5^2
c = square root of 50

Then use that to find x.

8^2 - c^2 = x^2
64-50 = x^2
14 = x^2
x = square root of 14

Chaos theory worksheet

Answers

Image does not load please re upload

find the domain of the expression.

[tex]\sqrt{u} -\sqrt{-u}[/tex]

Answers

Answer:

No Solution

Step-by-step explanation:

One of the rules of a square root is not to have negative numbers inside, if you do not want imaginary numbers. Therefore this question has no solution. Hope this helps :)

help me please (show work)

Answers

Answer: A, B, C, and D have the same volumes:  100 units^3

Step-by-step explanation:

The details are attached.  Use the volume formula for the respective shapes.  Bear in mind that B is he area of the base (I assume).  It is the

[tex]\pi[/tex][tex]r^{2}[/tex] in the formulas that have a round base, and the width x length for bases that are rectangular (or square).

(6-i\sqrt(2))/(6+i\sqrt(2))

Answers

Answer: 18 sqrt= i

Hope this helps :)

Step-by-step explanation:

your amazing and beautiful or handsome or whatever you are comfortable with!:D​

Answers

Answer:

1. C

2. E

3. D

4. A

5. B

Step-by-step explanation:

1. It shows that the number of students decrease.

2. It increases more than the breakfast (B)

3. It's on thin line representing the students and workers whom stayed in the cafeteria.

4. It increases showing the same amount of students that entered the other day.

5. The same

HELP!!!!!!!!!!!!!!!!!!!!!​

Answers

Answer: A

Step-by-step explanation:

The easiest way to solve this would be to convert everything into a fraction.

9.5, 9 3/8, 9.125, 9 3/4

=

9 4/8, 9 3/8, 9 1/8, 9 6/8

So from greatest to least,

9 3/4, 9.5, 9 3/8, 9.125

So, A

Answer: The answer is F ( 9 3/4 9.5 9 3/8 9.125 )

Step-by-step explanation:

From greatest to least.

1) 9 3/4 = 9.75

2) 9.5 = 9.50 ( 9 1/2)

3) 9 3/8 = 9.37

4) 9.125 = 9.12 ( 9 1/8)

x - 7 < -20 inequalify

ps. also tell me is it's closed or open ⭕ (I tried to get a picture and it wasn't working)​

Answers

Step-by-step explanation:

x - 7 < -20

x < -20 + 7

x < -13

X = (-12, -11, -10,...)

Inequalify

[tex] \sf \longmapsto{x}−7<−20[/tex]

Let's start.

Add [tex]\text7[/tex]to both sides

[tex] \sf \longmapsto \: x−7+7<−20+7[/tex]

Answer

[tex] \sf \longmapsto \: x<−13[/tex]

When can you write ratios as fractions?

Answers

Yes I ca-n YOU eritemul raționale as
Given a ratio of two integers, write it as a fraction
Given a ratio of two decimals, write it as a fraction
Given a ratio of two mixed numbers, write it as a fraction

1. what is the inverse of f(x) = x+9/10x-1?
a. 10x-1/x-9
b. x-9/10x+1
c. x+9/10x-1
d .2x+9/5x+1



#mathematics

Answers

Answer:

A OPTION IS THE INVERSE OF YOUR QUESTION

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