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3 years ago

14

. In which of the problems below would applying the multiplicative inverse be the best first step in determining a solution to t

he equation?

1 answer:

kirza4 [7]3 years ago

7 0

Answer:

B

Step-by-step explanation:

In The rest of the problems, you add or subtract first.

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The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

stiks02 [169]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

$A=b^{2}$

where b is the length side of the square

we have

$A=49\ units^2$

substitute

$49=b^{2}$

$b=7\ units$

therefore

$AB=BE=ED=AD=7\ units$

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

$A=(AC)(AG)$

substitute the given values

$A=(9)(10)=90\ units^2$

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

$A=(DE)(DG)$

we have

$DE=7\ units$

$DG=AG-AD=9-7=2\ units$

substitute

$A=(7)(2)=14\ units^2$

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

$A=(EF)(CF)$

we have

$EF=AC-AB=10-7=3\ units$

$CF=BE=7\ units$

substitute

$A=(3)(7)=21\ units^2$

step 5

sum the shaded areas

$14+21=35\ units^2$

step 6

Divide the area of of the shaded region by the area of ACIG

$\frac{35}{90}$

Simplify

Divide by 5 both numerator and denominator

$\frac{7}{18}$

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0

3 years ago

What's -8 = x+11/-2 with steps

zlopas [31]

Hello friend

enjoy your day

7 0

3 years ago

Two boys divided $3.36 so that one boy received 12 cents less than three times as much as the other. How was the money divided?

Fed [463]

Let's first convert that amount of money into cents, which makes 336 cents. Then, let's denote the amount of money one of the boys has with x. The other boy has got 3x-12 amount of money. We can construct an equation. $3x-12+x=336$ . Solving it we find that x=87 cents or $ 0.87 and the other boy holds $2.49 amount of money.

7 0

3 years ago

Triangle xyz is similar to triangle xvw. write the congruence statements that must be true.

Lunna [17]

Answer:

∠ Y = ∠ V

∠ Z = ∠ W

$\frac{XY}{XV} =\frac{YZ}{VW} =\frac{XZ}{XW}$

Step-by-step explanation:

It is given that Δ XYZ is similar to Δ XVW.

Since corresponding angles of similar triangles are equal,

∠ X = ∠ X

∠ Y = ∠ V

∠ Z = ∠ W

Also, since corresponding sides of similar triangles are in proportionate,

$\frac{XY}{XV} =\frac{YZ}{VW} =\frac{XZ}{XW}$

7 0

3 years ago

Read 2 more answers

4.72n - 0.1 = 8 + 0.67n

levacccp [35]

4.72n - 0.1 = 8 + 0.67n

4.72n - 0.67n = 8 + 0.1

4.05n = 8.1

4.05n/4.05 = 8.1/4.05

n = 2

5 0

3 years ago