What is the value of z?

Express x in terms of the other variables in the diagram below:

GrogVix [38]

For the answer to the question above, just use similar triangles.
Here's the equations that I used.

t/h = (x + t) / r 
x + t = rt / h 
x = rt / h - t
I hope my answer helped you in your problem, Have a nice day

6 0

3 years ago

Read 2 more answers

Work out an expression, in terms of x, for the perimeter of the shape. Simplify your answer.

sammy [17]

Answer:1+3x+9+x+8+2x= 6x+9

so =3(x+3)

Step-by-step explanation:

7 0

3 years ago

Using suitable identity find 231^222-131^2

Sliva [168]

Given:

Consider the expression is

$231^2-131^2$

To find:

The value of given expression using a suitable identity.

Solution:

We have,

$231^2-131^2$

Using the identity $a^2-b^2=(a-b)(a+b)$ , we get

$231^2-131^2=(231-131)(231+131)$

$231^2-131^2=(100)(362)$

$231^2-131^2=36200$

Therefore, the value of the given expression is $231^2-131^2=36200$ .

7 0

3 years ago

The third shipment weighed 10.25 times as much as the second shipment. if the third shipment weighed 15,662 pounds how much does

N76 [4]

Answer:

$1528 = s$

Step-by-step explanation:

15662 = 10,25s

______ _______

10,25 10,25

$1528 = s$

The second shipment weighs $1528$ pounds.

I am joyous to assist you anytime.

5 0

3 years ago

Pete's monthly housing budget is $2,250. His monthly costs are $215.75 for insurance, $143.50 for utilities, and $273 for taxes.

Afina-wow [57]

Answer:

Option B. house B; monthly payment of $1,550.89 is the correct answer.

Step-by-step explanation:

In order to calculate the highest payment Pete can afford we have to subtract his expenses from his housing budget.

Given

Total housing budget = $2250

Monthly costs = $215.75

Utilities = $143.50

Taxes = $273

First all expenses can be added together to subtract from the housing budget.

So

$Monthly\ costs = Insurance\ +\ Utilities\ +\ taxes\\ = \$215.75 + \$143.50 + \$273\\= \$632.25$

Now the total monthly cost will be subtracted from housing budget.

$Amount\ for\ monthly\ payment = Housing\ budget - Monthly\ Expenses\\=\$2250\ -\ \$632.25\\=\$1617.75$

Hence, he saves $1617.75 for monthly payment.

Looking at the options, C and D will be ruled out as both the quantities are greater than 1617.75

Option A and B both are smaller than 1617.75 but as $1,550.89>$1,327.18, Option B is the highest monthly payment Pete can afford.

Hence,

Option B. house B; monthly payment of $1,550.89 is the correct answer.

6 0

3 years ago