What are the factors of 114?

How do you do 8b+12-b=8+7b+4 and plz show how you got it

lawyer [7]

8b+12-b=8+7b+4
7b+12=12+7b
-7b
7b-7b+12=12
-12 -12
0= 12-12
0=0

6 0

3 years ago

The triangles above are similar write a similarity statement if possible solve for x the images are not drawn to scale

e-lub [12.9K]

Answer:

The value of x is 8.

Step-by-step explanation:

In triangle PQR and XZY,

$\angle P=\angle X=90^{\circ}$

$\angle Q=\angle Z$

$\angle R=\angle Y$

By AA property of similarity, we can say that

$\triangle PQR\sim \triangle XZY$

The similarity statement is $\triangle PQR\sim \triangle XZY$ .

The corresponding sides of similar triangles are proportional. Since both triangles are similar, so

$\frac{PQ}{QR}=\frac{XZ}{ZY}$

$\frac{21}{28}=\frac{5x+2}{7x}$

$\frac{3}{4}=\frac{5x+2}{7x}$

$7x\times 3=(5x+2)\times 4$

$21x=20x+8$

$21x-20x=8$

$x=8$

Therefore the value of x is 8.

4 0

4 years ago

I need help with this

Dafna11 [192]

Answer:

x = -9

Step-by-step explanation:

The attachment shows the labeling according to the problem statement.

The overall length is the sum of the constituent segment lengths, so ...

FG + GH = FH

(10 +x) +(7) = (2x +26)

x +17 = 2x +26

x -9 = 2x

-9 = x

__

<em>Check</em>

Then the segment length FG is ...

10 +x = 10 -9 = 1

and the overall length is ...

2x +26 = 2(-9) +26 = -18 +26 = 8

That is, 1 + 7 = 8.

5 0

4 years ago

Marco has a piece of wood that measures 9 x 1/10 + 6 x 1/100 + 4 x 1/1000 how can this measurement be written as a decimal? you

spin [16.1K]

Answer:

The decimal number is 0.964

Step-by-step explanation:

we have

$9(\frac{1}{10})+ 6(\frac{1}{100})+4(\frac{1}{1,000})$

step 1

Multiply each fraction by the whole number

$(\frac{9}{10})+ (\frac{6}{100})+(\frac{4}{1,000})$

step 2

Convert each fraction in a decimal number

Remember

Move the decimal point to the left as many places as there are zeros in the factor.

Move the decimal point one step to the left (10 has one zero).

Move the decimal point two steps to the left (100 has two zeros)

Move the decimal point three steps to the left (1000 has three zeros)

$0.9+0.06+0.004$

step 3

Adds the number

$0.964$

5 0

3 years ago

Rita will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.90 per mil

Artemon [7]

Let M = #miles driven

Plan 1: .50M + 70 = total cost

Plan 2 .70M = total cost

To know how far she would drive to have an equal cost for either plan just set the equations equal to each other

.70M = .50M + 70

subtract .50M from both sides

.20M = 70

M = 70/.20 = 350 miles

Check the answser:

Plan 1: .50(350) + 70 = 175 + 70 = $245

Plan 2: .7(350) = $245

they are equal so our answer checks as correct

6 0

4 years ago