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3 years ago

When two parallel lines are cut by a transversal, _______________________ angles are supplementary

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

7 0

Answer:

When two parallel lines are cut by a transversal, <em><u>Alternate interior angles</u></em> are supplementary.

Step-by-step explanation:

d1i1m1o1n [39]3 years ago

5 0

Answer:

Alternate interior angles

Step-by-step explanation:

When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles

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A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than

ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

A cuboid has 6 faces.
A cuboid contains 8 vertices.
A cuboid contains 12 edges .
The total surface area of a cuboid is

= 2(length×breadth+breadth×height+length×height) square units

The dimension of a cuboid is written as length×breadth×height.

The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

$=[x\times 2x\times (x+2)]$ cubic inches

$=[2x^2(x+2)]$ cubic inches

$=(2x^3+4x^2)$ cubic inches

According to the problem,

$2x^3+4x^2=192$

$\Rightarrow 2x^3+4x^2-192=0$

$\Rightarrow 2(x^3+2x^2-96)=0$

$\Rightarrow (x^3+2x^2-96)=0$

$\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0$

$\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0$

$\Rightarrow (x-4)(x^2+6x+24)=0$

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

length=(2×4) inches=8 inches

and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

8 0

3 years ago

Rafael races his bicycle for

pychu [463]

Distance traveled = 70 m
Number of rotations = 29

We know, Circumference * Number of rotations = Distance traveled
So, C = 70 / 29
C = 2.41 m

Now, we know, diameter = C / π
So, d = 2.41/3.14 = 0.768

In short, Your Answer would be: 0.8 m

Hope this helps!

6 0

3 years ago

Read 2 more answers

How do you use distributive property for 12(52)-12(62)

ololo11 [35]

Answer:

-120 , split it into diferent parts.

Step-by-step explanation:

12 (52) - 12 (62) = ?

12 x 52 = 624

12 x 62 = 744

624 - 744 = -120

3 0

3 years ago

Is rstu is rhombus, then ______

Rus_ich [418]

The answer will be that it might be a square

4 0

3 years ago

Whilst shopping, the probability that Caroline buys fruit is 0.4. The probability that Caroline independently buys a CD is 0.2.

AleksandrR [38]

Answer:

probability that Caroline buy both CD and fruit = 0.52

Step-by-step explanation:

We have given that the probability of Caroline buys a fruit P = 0.4

So probability of Caroline does not buy the fruit = 1 - 0.4 = 0.6

Probability Caroline buys a CD P = 0.2

So probability of Caroline does not buy the CD = 1 - 0.2 = 0.8

So probability that Caroline does not buy either buy CD or fruit = 0.8×0.6=0.48

So probability that Caroline buy both CD and fruit =1-0.48 = 0.52

7 0

3 years ago