The two triangles illustrated below are similar. What are the values of x and y?

Answer:

Step-by-step explanation:

make 2 2/3 into an improper fraction by multiplying 2 by 3 and adding to 2

8/3

8/3 divided by 1/4 is the same as 8/3 multiplied by 4/1 (just 4)

[tex]\frac{8}{3}*\frac{4}{1} =\frac{32}{3}[/tex]

32/3=10 2/3

Answer:

$2,975.85

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 3.5% into a decimal:

3.5% -> [tex]\frac{3.5}{100}[/tex] -> 0.035

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

[tex]A=2,500(1+\frac{0.035}{4})^{4(5)}[/tex]

[tex]A=2,975.85[/tex]

After 5 years, the account will have $2,975.85

50=100%

X=90%

X=50*90%/100

X=45

Answer:

45

Step-by-step explanation

90/100 × 50/1 50 goes into 100 2

90/2 × 1/1 = 45

Hope this helps

Answer:

Fraction form -15/2

Decimal form -7.5

Step-by-step explanation:

4x+30=0

subtract 30 from both sides

4x=-30

divide both sides by 4

x=-30/4

simplify

-15/2 or -7.5

Answer:

71.60 cm

Step-by-step explanation:

To round 71.63 to the nearest tenth, consider the hundredths value of 71.63, which is 3 and less than 5. Therefore, the tenths value remains 6 and you get rid of the 3 since it is less than 5.

Answer:

the  circumference is 71.63 but that number rounded to the nearest tenth is 71.60 cm. when a number is rounded to the nearest tenth in a decimal the last two numbers are rounded. because 3 is less than five then that means we turn it into a zero then we get 71.60

Step-by-step explanation:

Answer:

(x-9)(x+2) = x^2 + 2x -9x -18  = x^2 -7x -18

Answer is B

Step-by-step explanation:

Answer:

6 units²

Step-by-step explanation:

Answer:

It loses $400 a year

Step-by-step explanation

$2000 x 20% or .20 = $400 per year is what the computer loses.

It loses a great deal of value a year.

Answer: 100n

Step-by-step explanation:

Each year it looses 100$ of its value each year.

Answer:

2^K≥40

2^5≥20

24/5 =4.75

40 books= 40/5 = 8 mean

9 2's

10 7's

13 12's

2 17's

6 22's

18+70+156+34+132= 410/40 =10.25  

150+156+70=306+70=376/40 books bought = 9.4 mean

Step-by-step explanation:

Answer:

the answer is 12

Step-by-step explanation:

you basically have to divide 8 by 2/3 then you would get 12

Answer:

217 sqft

Step-by-step explanation:

the total area can be divided into 6 parts:

2 triangles, 2 rectangles(height 5, length 8) and 2 rectangles(height 7, length 8)

Therefore the area can be calculated as :

2* (1/2* 5*5) + 2*5*8+2*8*7 = 217 sqft

Step-by-step explanation:

6(2x^2 - x - 28)

6(2x + 7)(x - 4)

Answer:

Point B is equal to cos(160)

Step-by-step explanation:

160 deg is 160 deg counter-clockwise angle from +x-axis.

Hope this helps!

:)

Answer:

x coordinate of point B

Step-by-step explanation:

yw

Answer:

(CHOICE C)

X= 20

Step-by-step explanation:

SOLVE FOR X AND USE 45* ANGLE FOR HELP.

Answer:

21

Step-by-step explanation:

because it is only part of the bottom one so it should be 21 sorry if it wrong

Cos(angle) = adjacent leg/ hypotenuse

Cos(30) = x/24

X = cos(30) x 24

X = 20.78

X = 21

Answer:

Hello,

2 (d + 7) (d - 7)

Step-by-step explanation:

2 d² - 98 = 2 (d² - 49) = 2 (d² - 7²)

a² - b² = (a + b) (a - b)

2 (d² - 7²) = 2 (d + 7) (d - 7)

Answer:

D. 604

Step-by-step explanation:

411/3 = 137

137 + 388 = 525

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

(n) 604 - 79 = 525

Answer:

-y^(2)+x+y

Step-by-step explanation:

Answer:

4/25

First we have to divide 1/5 by 5. To do this we must follow the rules of dividing fractions which is switching the numerator and denominator of the second number/fraction, so 5 becomes 1/5. Next, we have to multiply the two fractions: 1/5 x 1/5= 1/25 (This is the amount of apricots in 1 bag). If we multiply that by 5, its going to 5/25 which is now 5 bags. 5/25 - 1/25=4/25 and that is our final answer.

Answer:

False and also the last word is data not date.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

the Gulf Coastal Plains, the Great Plains, the North-Central Plains and the Basin and Range.

Step-by-step explanation:

0.48 per quart is better

Step-by-step explanation:

0.48x4=1.92 < 2.72

Answer:

50

Step-by-step explanation:

Answer:

it's 90

Step-by-step explanation:

I don't know how to explain it but I've done that before. I'm more than sure.

Answer:

226 grams

Step-by-step explanation:

The half-life of a radioactive substance is the time taken for half the quantity of the substance to decay such that the amount life after the given period of time is half the original quantity.

As such, given that the half-life of a certain radioactive element is 35 hours and there are 904 grams available, it means that after 35 hours,

Amount decayed = 1/2 * 904 grams

= 452 grams

Amount left = 904 grams - 452 grams

= 452 grams

After another 35 hours (now a total of 70 hours),

Amount decayed = 1/2 * 452 grams

= 226 grams

Amount left = 452 grams - 226 grams

= 226 grams

Answer:

B

Step-by-step explanation:

B-X=A

or

B-A=X

or

X=B-A

[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]

Answer:

answer is B

Step-by-step explanation:

Answer:

If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.

Step-by-step explanation:

I have a book on this kinda stuff! :D

Answer:

If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.

Step-by-step explanation: ED2022

V = one-third pi (4 squared) (7) feet cubed

Step-by-step explanation:

Volume of cone v = 1/3×π(r²h)

r = 4 and h = 7

V = 1/3 × π(4²×7)

So B

An equation which should be used to calculate the volume of the geometric figure (see attachment) is: A. V = 1/3(6)4)(8).

Based on the geometric figure shown, we can logically deduce that it is a pyramid. Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

Where:

Substituting the parameters into the formula, we have:

Volume = 1/3 × 6 × 4 × 8

Volume = 1/3(6)4)(8).

Read more on pyramid here: brainly.com/question/16315790

#SPJ1

Answer:

77

Step-by-step explanation:

So first off, we know that those two triangles are congruent triangles, so those have the same measures. All angles have the same measures. We also know that all angles equal to 180 degrees.

So imagine putting them together:

So then you do 57+ 46=103

180-103=77

Hence the measure of z is 77 degrees

Answer 190 square inches

Step-by-step explanation:

If there wasn't a piece cut off of the rectangle, you would multiply 22 by 15 because those are the side lengths. However, there is a piece missing so it will not have a great of an area. On the left side, it says that the width is 8 because part of the side is cut off. On the other side, it says 22. This shows that 14 inches is cut off. So width of the missing piece is 14. Then you need to find the length. On the bottom. It says the length is 5 where the top says 15. That shows that 10 inches are missing. That means the missing side is 14x10 which is 140 square inches. If the rectangle was a whole, it would be 330. You subtract 140 from that and it makes 190 square inches.

Answer:

190 square inches.

Step-by-step explanation:

here is my work to follow to figure out a problem like this.