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3 years ago

10

Customer: "I buy the same items every week and my bill is normally $90.00. Why am I now being charged $108.00 for the exact same

items?" Employee: "Unfortunately, the increased cost of raw materials has forced us to increase our prices by __________."

1 answer:

scZoUnD [109]3 years ago

7 0

18
$108.00- 90.00= 18.00$

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Answer:

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Step-by-step explanation:

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3 years ago

Vita wants to center a towel bar on her door that is 27 1/2 inches wide. She determines that the distance from each end of the t

timurjin [86]

Answer:

The equation is $x+18 =\frac{55}{2}$ ..

The length of the towel bar is $\frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in$ ..

Step-by-step explanation:

Given,

Length of the door = $27\frac{1}{2}\ in$

we can rewrite $27\frac{1}{2}\ in$ as $\frac{55}{2}\ in$ .

We have to find out the length of the towel bar.

Let the length of towel bar be 'x'

`Since Vita wants that the distance from each end of the towel bar to the end of the door to be 9 inches.

So we can say that the length of the towel bar plus from each end of the towel bar to the end of the door plus from each end of the towel bar to the end of the door is equal to length of door.

framing in equation form, we get;

$x+9+9= \frac{55}{2}\\\\x+18 =\frac{55}{2}$

Hence The equation is $x+18 =\frac{55}{2}$ .

Now we solve the equation we get;

Subtracting both side by 18 we get;

$x+18-18=\frac{55}{2}-18\\\\x=\frac{55}{2}-18$

Now we will make the denominator common we get;

$x=\frac{55}{2} -\frac{18\times2}2= \frac{55}{2} -\frac{36}2 = \frac{55-36}{2}=\frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in$

Hence The length of the towel bar is $\frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in$ .

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3 years ago

If two consecutive angles of a parallelogram are congruent, what is the measure of each angle?

Debora [2.8K]

Answer:

Measure of each angle is 90 degree.

Step-by-step explanation:

Given : If two consecutive angles of a parallelogram are congruent.

To find the measure of each angle:

There are 6 important properties of parallelograms:

Opposite sides are congruent.

Opposite angles are congruent
Consecutive angles are supplementary.
If one of the angle is right angle, then all angles are right.
Diagonals of a parallelogram bisect each other
Also, each diagonal of a parallelogram separates it into two congruent.

let A and D be two consecutive angle.

then, by the given condition

$\angle A \cong \angle D$ ......[1]

From the property of parallelogram:

Consecutive angles are supplementary

Then;

$\angle A + \angle D = 180^{\circ}$

From equation [1];

$\angle A + \angle A = 180^{\circ}$

Combine like terms :

$2\angle A = 180^{\circ}$

Divide both sides by 2 we get;

$\frac{2 \angle A}{2} = \frac{180^{\circ}}{2}$

Simplify:

$\angle A = 90^{\circ}$

From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.

∴ $\angle A = \angle B = \angle C = \angle D = 90^{\circ}$

Therefore, the measure of each angle is $90^{\circ}$

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3 years ago

If a= -2, b=3 evaluate the expression 2a-3b

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2x-2-3x3 =-13. -13 is the answer

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3 years ago

Read 2 more answers

Help pleaseeeee will give brainliest

attashe74 [19]

Answer:

q.12

angle ACB=180-123

therefore ACB=57

again 5x-15+7x+6+57=180

or,12x+48=180

or,x=132/12

or x=11

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3 years ago