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

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help me please???????​

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

When can you write ratios as fractions?

- 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?

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

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

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?

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

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

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Chaos theory worksheet

help me please (show work)

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?

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.

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)​

I need Help on this question

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.

find the domain of the expression.

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

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


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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?

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

(Picture provided)

Helppppppp plsss

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

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?

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?

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?

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