Bryant had $450 in the bank yesterday. Then, Bryant bought a fancy new rug for $620, but didn't realize that he overdrew from his bank. His account balance was negative now and he was in debt! What is the absolute value of his new account balance?

Answer:

x=30°, y=64°, z=86°

Step-by-step explanation:

Make a system of equations using the information given.

x + y + z = 180    <-- from "the sum of interior angles equals 180 degrees"

y + z = 5x           <-- from "sum second angle and third angles is five times the first angle"

z = y + 22           <-- from "the third angle is 22 more than the second"

Eliminating the x variable to makes the equations easier to solve.

5x + 5y + 5z = 900

-(5x                = z + y)

=       5y + 5z = 900 - z - y

= 6y + 6z = 900

= y + z = 150

Now substitute z for (y+22)

y + (y + 22) = 150

2y + 22 = 150

2y = 128

y = 64

Now find z when y=64

z = (64) + 22

z = 86

Finally, plug in z and y into one of the equations with x and evaluate for x.

x + 64 + 86 = 180

x + 150 = 180

x = 30

Step-by-step explanation:

I am not sure. sorry if it is wrong

Answer:

Yes, by the angle angle rule.

Step-by-step explanation:

In the first triangle,

m<C=60 degrees, and m< D=53 degrees. You know that the sum of angles in a triangle add up to 180 degrees, so solve for E. m<E= 67 degrees.

In the second triangle,

m<F=60 degrees and m<H=67 degrees.

Since both triangle have two congruent angles, you can say that the two triangles are similiar by the AA rule.

Both triangle CDE and triangle FGH are similar to each other.

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. All the corresponding angles of similar figures are congruent.

∠C + ∠D + ∠E = 180° (angles in a triangle)

60 + 53 + ∠E = 180

∠E = 67°

∠C = ∠F, ∠D = ∠G, ∠E = ∠H, hence both triangles are similar.

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Answer:

If he left the car in the lot for 2 hours, he would have to pay 14 dollars. if he left it for "t" hours, he would have to pay 11 + 3t dollars

Step-by-step explanation:

Think of it like this: "a" represents the total amount of money Easton will spend, t represents time in hours. $11 + $3*t = a

9514 1404 393

Answer:

  C  21

Step-by-step explanation:

You can approach this any of several ways. The following conditions must be true:

  adjacent angles total 180°

  opposite angles are congruent

Using the latter relation on the upper right and lower left angles, we have ...

  4x -1 = 3x +20

  x = 21 . . . . . . . . . . add 1-3x to both sides

Answer:

p=-8

Step-by-step explanation:

A negative multiplied by a negative is a positive.

Answer:

400

Step-by-step explanation:

look it up. it says 400.

The required number is 400 for which 44 is 11%.

The percentage is a way to express a proportion or a fraction as a fraction of 100. It is commonly used to compare values or quantities relative to a whole or a total.

To calculate a percentage, you typically divide a part or a quantity by the whole or the total and then multiply the result by 100. The resulting value represents the percentage equivalent of the part or quantity.

It implies that a percentage value represents a certain number out of 100 parts.

Given that 44 is 11% of the number. The unknown number is calculated as,

x (11%) = 44

[tex]x \times \dfrac{11}{100} = 44\\x = \dfrac{44\times100}{11}\\x=400[/tex]

Therefore, the number is 400.

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Answer:

La respuesta podría ser 80000 y en cualquier momento.

ANSWER

THE ANSWER IS FALSE

Step-by-step explanation:

false

9514 1404 393

Answer:

Step-by-step explanation:

These are two "special triangles." The ratios of side lengths are numbers not difficult to remember. They can save a lot of work in problems like this.

Ratio of side lengths in 45°-45°-90° isosceles right triangle: 1 : 1 : √2.

Ratio of side lengths in 30°-60°-90° right triangle: 1 : √3 : 2.

__

The side marked x has the same length as the side marked 14√2.

  x = 14√2

The unmarked hypotenuse of both triangles is √2 times the marked side length, so is (14√2)(√2) = 28.

The side marked y is half the length of the hypotenuse of that triangles so is ...

  y = 28/2

  y = 14

And the side marked z is √3 times the short side of the 30°-60°-90° triangle, so is ...

  z = 14√3

_____

Alternate solution

The mnemonic SOH CAH TOA can help you remember trig relationships. Here, 14√2 is opposite the given 45° angle, and x is adjacent. The trig relation is ...

  Tan = Opposite/Adjacent

  tan(45°) = 14√2/x

  x = 14√2/tan(45°) = 14√2

__

To find y or z, we need to know the length of the hypotenuse in the 45° triangle. The given side is opposite the angle, so we can use the sine relation:

  Sin = Opposite/Hypotenuse

  hypotenuse = 14√2/sin(45°) = 28

Now, we can find y and z:

  sin(30°) = y/hypotenuse

  y = (28)sin(30°) = 14

  cos(30°) = z/hypotenuse

  z = (28)cos(30°) = 14√3

Answer:

Step-by-step explanation:

Exterior angle property: Exterior angles equals the sum of remote angles

19x - 18 = 7x + 1 + 10x - 9

19x - 18 = 7x + 10x + 1 - 9    {Combine like terms}

19x - 18 = 17x - 8          {Subtract 17x from both sides}

19x - 17x - 18 = -8

        2x - 18 = -8         {Add 18 to both sides}

              2x = -8 + 18

             2x = 10

              x = 10/2

x = 5

Answer:

X′ (−3, −4)

Step-by-step explanation:

Just took the test :)

Answer:

300 %

Step-by-step explanation:

120 is 3 times 40, so in other words that’s 300 % of 40.

Generally, divide the part of interest (120) by total (40). In most common use case the total is larger than the part of interest unlike here.

Answer:

This is more of a question that involves opinion, I prefer to studdy animal cells but that is merely my opinion. Plant cells are interesting too and may be more interesting to someone else, But for me animal cells are the better choice.

Step-by-step explanation:

Definition. Animal cells are the basic unit of life in organisms of the kingdom Animalia. They are eukaryotic cells, meaning that they have a true nucleus and specialized structures called organelles that carry out different functions.

Plant cells are the basic unit of life in organisms of the kingdom Plantae. They are eukaryotic cells, which have a true nucleus along with specialized structures called organelles that carry out different functions. Plant cells have special organelles called chloroplasts, which create sugars via photosynthesis.

Answer:

A) 45

B) 80

C) 50

Step-by-step explanation:

When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. This makes sense, since all the angles in the first quadrant are less than 90°.

When the terminal side is in the second quadrant (angles from 90° to 180°), our reference angle is 180° minus our given angle.

When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°.

When the terminal side is in the fourth quadrant (angles from 270° to 360°), our reference angle is 360° minus our given angle.

Answer:

Step-by-step explanation:

Divide 1/2 by 6 to find each student's share:

Correct choice is C

You forgot the image attached to the question. I will edit my answer after you edit the question

Answer:

Step-by-step explanation:

4 h × (70 mi)/h = 280 mi

280 mi × (1 h)/(50 mi) = 5.6 h

The time taken by him to arrive at City B will be 5.6 hours.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The time span, in hours, it takes a train to go to city B fluctuates contrarily with the train's speed.

V x T = Constant

The train Carole is going on is moving at a speed of 70 miles each hour, and it requires her 4 hours to show up. In the event that the train, Steve is going on, is moving at a speed of 50 mph.

Let 't' be the time. Then the equation is given as,

t x 50 = 4 x 70

50t = 280

t = 280 / 50

t = 28 / 5

t = 5.6 hours

The time taken by him to arrive at City B will be 5.6 hours.

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Answer:

(-2, 6)

Step-by-step explanation:

Trust me, I know

Answer:

use mathwa.y it will help

Step-by-step explanation:

Answer:

wrong question..

please set your question

Answer:

D because you have to cos

Answer:

B and D

Step-by-step explanation:

sin(15)=0.25

cos(65)=0.42

Answer:

Explanation:

Find The Least Common Multiple Of 4 And 2: 4

¹³⁄₄k · 4 + ½k = ¹¹⁄₄ · 4

Simplify

15k = 11

Divide Both Sides By 15

15k / 15 = 11 / 15

Answer:

Answer: y=3/2x+1

To find a line that is perpendicular, invert the slope and multiply by -1

so the original slope is -2/3,

invert it to get -3/2 then multiply by -1 to get 3/2

Put the given point (-2,-2) and the new slope into point intercept form: y+2=3/2(x+2)

Rewrite in standard form to get y=3/2x+1

Answer:

r=4/2=2cm

total volume=volume of cylinder + cone=πr²h+1/3πr²h'=πr²(h+1/3 h')=2²π((10-3)+1/3× 3)=4π(7+1)=8×4π=32πcm³

Answer: (9, -2)

Step-by-step explanation:

Let's start with what makes a function even. A function is even if the graph of it is symmetric about the y-axis. What is really means is that if you were to fold your graph paper where the crease is on the y-axis, the graph should be the same on each side.

Now since g is an even function, it's correct for us to assume that it is symmetric about the y-axis. What this means is that we expect to find a value at the same point, except on the right side (because our coordinate is negative).

Our coordinate is (-9, -2). If we were to plot it, we'd see it would be in the 3rd quadrant, or the bottom left one. To be symmetrical on the right side, we know there is a point with the same coords in the 4th quadrant. To be on the right, our x coordinate would be positive, and our y coordinate will stay the same.

Answer:

Step-by-step explanation:

You must have not input your units of cm^2