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IrinaK [193]
3 years ago
14

Jacob made a banner for a sporting event in the shape of a parallelogram. The area of the banner is 127 1/2 square centimeters.

The height of the banner is 4 1/4 centimeters. What is the base of the banner?
PLS HELP PLS PLS​
Mathematics
1 answer:
Bogdan [553]3 years ago
5 0

Answer:

The base of the banner is 30 centimeters.

Step-by-step explanation:

Area = base × height

Plug in the numbers:

127 1/2 = b × 4 1/4

Convert mixed fractions into improper fractions for easier calculations.

Improper fraction formula: (denominator × mixed number + numerator)/denoninator

(2 × 127 + 1)/2 = 255/2

(4 × 4 + 1)/4 = 17/4

Rewrite equation:

255/2 = b × 17/4

Isolate variable b by multiplying the reciprocal of 17/4 (which is 4/17).

1020/34 = b

Simplify.

30 = b

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A. AC, CB

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The answer you have selected is correct because a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. Thus the answer A is correct!

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Step-by-step explanation:

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Which triangles are similar by the angle-angle criterion for similarity of triangles ?
Alex Ar [27]

Answer:

Option D is correct.

\triangle ADE \sim \triangle ABC

Step-by-step explanation:

In triangle ADE and triangle ABC

From the figure:

\angle ADE = \angle ABE  [Angle]             [Given]

\angle DAE = \angle BAC  [Angle]

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5 0
3 years ago
Use the following scenario to answer the question below:
Stolb23 [73]

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

We need the answer in cubic centimeters. So let's convert 350 cubic inches to cubic centimeters. We will do it unit conversion way (the long way).

We will write cubic inches as three inches side-by-side

350 in^3

<h3>What is the ratio of the centimeter?</h3>

This way, we can multiply this by the ratio of centimeters to inches [2.54 cm = 1 inch], so that the units cancel and we have cubic centimeters (what we desire).

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in

So, we can cancel the three inches top and bottom thus we have the answer in centimeters cubed. And the value is

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in.

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in=5735.47.

So 350 cubic inches is approximately 5735.5 cubic centimeters (rounded to 1 decimal place).

This is larger than a 5500 cubic centimeters engine.

5735.5-5500=235.5cubic centimeters.

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

To learn more about the significant figures visit:

brainly.com/question/24491627

#SPJ1

6 0
2 years ago
What is solve 5x-65=3x-17
NikAS [45]
If you would like to solve 5x - 65 = 3x - 17, you can do this using the following steps:

5x - 65 = 3x - 17
5x - 3x = 65 - 17
2x = 48
x = 48/2
x = 24

The correct result would be 24.
5 0
3 years ago
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