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3 years ago

15

Design a number line containing five (5) points

1 answer:

Alecsey [184]3 years ago

6 0

Number lines are easy to design as all we must to is draw a line, put arrows on both ends (to represent it is a line and not a segment), and plot points as evenly as possible.

Below I have attached an example number line. This one is great to use for testing functions.

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Andrew paid $10 for a burger. The burger went on sale and there was a discount of 20%. what was the sale price of the burgers?

BabaBlast [244]

20% = .20
10 times .20 = 2
10-2= 8
$8

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At The hairdresser ,Jenny Had 27 Centimeters cut off her hair.How many Decimeters of hair did Jenny Have Cut Off

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I give you a tricky one Express 108 ×125as a product of prime factors in exponential form

lana [24]

Answer:

$108 \times 125=2^2 \times 3^3 \times 5^3$

Step-by-step explanation:

To express the given product (108 X 125) as a product of prime factors

Step 1: Express each of the numbers as a product of its prime factors.

$108=2^2 \times 3^3\\125=5^3$

Step 2: Write the product together, and combine any like terms if any

Therefore,

$108 \times 125=2^2 \times 3^3 \times 5^3$

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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