What is the value of two numbers whose sum is 17 and their difference is 3

There is a building, if you are observing from the outside it looks like a parallelogram with one of the interior angles as 108.

SVEN [57.7K]

Answer:

Exterior angle to be used for parking is 72°

Step-by-step explanation:

I've attached an image of a paralelogram.

Now, we are told that from the outside it looks like a parallelogram with one of the interior angles as 108.

This means that the bigger angle internally would be 108°

Which from the attached image is angle B internally or angle D internally.

So, the interior angle observed will be either at point B or D on the parallelogram.

Now, the sum of angles on a straight line is 180°

Thus,

Internal angle D + External Angle D = 180

Or

Internal angle B + External Angle B = 180

Internal angle is 108°

Thus;

External angle for either B or D = 180 - 108 = 72°

So the exterior angle to be used for parking is 72°

7 0

3 years ago

The sum of the measures of the angles shown is 90°.

maria [59]

Answer:

10). 5x + (7x + 6) = 90

11). x = 7

Step-by-step explanation:

From the picture attached,

Sum of given angles measures 90°

Measures of the angles are (5x)° and (7x + 6)°

Therefore, equation to determine the values of x will be,

5x + (7x + 6) = 90

By combining similar terms of the equation,

12x + 6 = 90

12x = 90 - 6

12x = 84

x = $\frac{84}{12}$

x = 7

Therefore, by solving the equation value of x will be 7.

8 0

3 years ago

One factor of the polynomial 3x3 + 20x2 - 21x + 88 is (x + 8). what is the other factor of the polynomial? (note: use long divis

Snezhnost [94]

The other factor of the polynomial is a. 3x2-4x+11

Given polynomial is 3x3 + 20x2 - 21x + 88 and the factor is (x+8)

We need to find another factor using long division method

So,

We will divide the polynomial by the factor to find the another factor

Therefore,

$\sqrt[x+8]{3x^3+20x^2-21x+88}$

Now calculating

First multiplying $3x^2$ with (x+8) so , $3x^2$ will be in the quotient

We get $3x^3+24x^2$

simplifying the calculation for $3x^3+20x^2$ and $3x^3+24x^2$

We get the remainder is $-4x^2-21x+88$

Second we will multiply -4x with (x+8) Where -4x will be in the quotient

We get $-4x^2-32x$ and then we will simplify the equation

We get 11x +88 as a remainder

The quotient we get is $3x^2-4x$

Third we will multiply +11 with (x+8) Where +11 will be in the quotient

we get 11x+88

Simplifying the equation we get the remainder 0

So the quotient we get is (3x2 - 4x+11)

Hence the another factor of the polynomial is (3x2 - 4x+11)

Learn more about Long division method here

brainly.com/question/22153164

#SPJ4

8 0

1 year ago

Please help me!! I’m failing math. :(

Sauron [17]

Answer:

5:15 is the ratio for the amount of circles to total shapes.

Step-by-step explanation:

There are 5 circles and 15 shapes total.

So the ratio of circle to the total amount of shapes is 5:15

Hope I helped :)

Please consider Brainliest :)

8 0

3 years ago

Michael is putting 12 boxes in a storage shed. Each box is in the shape of a rectangular prism with dimensions 1.5 feet by 1.5 f

pishuonlain [190]

Answer:

Volume of room will be left after Michael stores the boxes 426 feet cube

Step-by-step explanation:

It is given that

Michael is putting 12 boxes in a storage shed.

Each box is in the shape of a rectangular prism with dimensions 1.5 feet by 1.5 feet by 2 feet.

If the storage shed has dimensions 6 feet by 10 feet by 8 feet,

To find the volume of one box

Volume = 1.5 x 1.5 x 2= 4.5 feet cube

Volume of 12 such box = 4.5 x 12 =54 feet cube

To find the volume of shed

Volume of Shed = 6 x 10 x 8 =480

To find remaining portion of shed

Volume of room will be left after Michael stores the boxes =volume of shed - volume of box

=480 - 54 = 426 feet cube

7 0

3 years ago