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

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

(Picture provided)

Helppppppp plsss

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.

Chaos theory worksheet

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

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?

When can you write ratios as fractions?

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?

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?

help me please (show work)

help me please???????​

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

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

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

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.

- 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?

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

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?

HELP!!!!!!!!!!!!!!!!!!!!!​

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)​

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


HELPPPPPPPPPPPPPPPPPPPPPPPP PLS

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.

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?

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

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?

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

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

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

I need Help on this question

find the domain of the expression.

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

Solve to get cake, cookies and a hug