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aliina [53]
2 years ago
11

The figure shows three quadrilaterals on a coordinate grid:

Mathematics
1 answer:
Sedbober [7]2 years ago
7 0

Answer:

W and Q are similar and congruent.

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Harry is organizing a picnic. He can spend at most $24.00 on beverages. Iced tea costs $2.00 per gallon and lemonade costs $2.50
Arada [10]

Answer:

$10

Step-by-step explanation:

x + 5y = $24

x + 5($2.50) = $24

x + $12.50 = $24

x = $24 - $12.50

x = $11.50/2

x = 5

Thus, Harry bought 5 gallons of iced tea which cost him $10.

3 0
3 years ago
Which combination of transformations can you use to show that one shape is congruent to another? dilations and reflections/ refl
Ganezh [65]
The correct answer to this is:
ROTATIONS AND TRANSLATIONS

Reflection and rotation can also be used but since their both grouped with dilations, they can't be used. When dilation is used, the size of the shape is changed and congruence won't be possible anymore . That's why the answer is the first option.
8 0
3 years ago
The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate.
Paul [167]

Answer:

A) Amount in the account after 3 years = $ 7, 883.14

B)  Interest earned = $ 883.14

Step-by-step explanation:

The formula to be used is given as

A = P ( 1 + r/n)^nt

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

In the question we are given the following values :

A = final amount = Unknown

P = initial principal balance = $7,000

r = interest rate = 4% = 0.04

n = number of times interest applied per time period = semi annually , n= 2

t = number of time periods elapsed = 3 years

A) Find how much money there will be in the account after the given number of years.

A = P ( 1 + r/n)^nt

A = $7,000 (1 + 0.04/2)²×³

A = $7,000( 1+ 0.04/2)⁶

A = $7,000( 1.02)⁶

A = $ 7,883.14

The amount in the account after 3 years = $ 7,883.14

B. Find the interest earned.

To find the interest earned, we use the formula

A = P + I where

P (principal) = $ 7,000.00

A (Amount after 3 years) = $ 7,883.14

I = A - P

I = $ 7,883.14 - $ 7,000.00

I =$ 883.14

The interest earned = $ 883.14

8 0
2 years ago
If a 20 ft tree casts a 15ft shadow, how long a shadow is cast​
Irina-Kira [14]

Answer:

25 ft

Step-by-step explanation:

c = √a^2 + b^2 = √20^2 + 15^2 = 25ft

Hooke me up with a 5 star and a thanks :)

4 0
2 years ago
What is 1/2(7x-6)=6x-10
erastova [34]

Answer:

Step-by-step explanation:

1/2(7x - 6) = 6x - 10

7/2x - 3 = 6x - 10 .....multiply by 2

7x - 6 = 12x - 20

-6 + 20 = 12x - 7x

14 = 5x

14/5 = x  <===

7 0
3 years ago
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