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2 years ago

What values of b and c make ADEF AWVU?

Mathematics

1 answer:

Alex2 years ago

8 0

Answer:

b = 10, c = 9

Step-by-step explanation:

For the triangles to be congruent by the HL postulate, then

UW = DF ( hypotenuse are congruent ), that is

12b - 34 = 5b + 36 ( subtract 5b from both sides )

7b 0 34 = 36 ( add 34 to both sides )

7b = 70 ( divide both sides by 7 )

b = 10

and

UV = EF ( legs are congruent )

4c - 9 = 3c ( subtract 3c from both sides )

c - 9 = 0 ( add 9 to both sides )

c = 9

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3 years ago

Simplify the expression: –3(9 − x) =

steposvetlana [31]

Answer:

Expand $-3(9-x): -27 + 3x$

Step-by-step explanation:

$-3(9-x)$

Apply the distributive law: $a(b-c)=ab-ac$

$a = -3, b=9, c=x$

$=-3*9-(-3)x$

Apply minus - plus rules:

$-(-a)=a$

$= -3*9+3x$

Multiply the numbers: $3 * 9 = 27$

$=-27+3x$

Hope this helps! If so, may I get Brainliest and a Thanks?

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2 years ago

NEEDS TO BE DONE TODAY SOMEONE PLEASE

eduard

Answer:

Step-by-step explanation:

16.

RT=17.885

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8 0

3 years ago

What is the next term of the arithmetic sequence? 2,-1,-4,-7, -10,

Oxana [17]

Answer:

-13

Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

Pedro puts $400.00 into an account to use for school expenses. The account earns 4% interest, compounded annually. How much will

Nastasia [14]

After 5 years the amount in the account will be $ 487.

Step-by-step explanation:

Compound Interest, A = $P ( 1 + \frac{r}{n})^ {nt}$

Where A denotes the investment's future value

P is the Principal amount = $ 400.00

r is the rate of interest annually in decimals = 0.04

n is the no. of times the interest is compounded per unit time, t = 1

t - the number of years or days or months the amount is invested = 5 years

Now we have to plug in those values in the above formula as,

A = $400 ( 1 + \frac{0.04}{1})^ {1\times 5}$

= 400(1+ 0.04)⁵

= 400(1.04)⁵

= 486.66 ≈ $ 487

7 0

3 years ago