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3 years ago

Find the GCE. 10rs, 35rst

Mathematics

1 answer:

lukranit [14]3 years ago

7 0

The GCE of 10 and 35 is 5

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A rectangle has a legnth of 12 inches less than 6 times its width. If the area of the rectangle is 3744 square inches, find the

elena-14-01-66 [18.8K]

Length = 6x - 12

Width = x

Area of a rectangle:

A = length x width

3744 = (x)(6x - 12)

3744 = 6x^2 - 12x

6x^2 - 12x - 3744 = 0

Use the quadratic equation to solve for x. The two solutions end up being 26 and -24. Since length is a scalar measurement, it can only be positive. Thus, the value of x is equal to 26 inches.

Width = 26 inches

Length = 6(26) - 12 = 144 inches

Hope this helps!! :)

6 0

2 years ago

Please answer and explain how you did it.

alukav5142 [94]

Refer to the attached image.

Given: $m \angle A = 65^\circ$ and measure of exterior angle at C = $117^\circ$ .

We have to determine the measure of angle B and angle BCA.

By applying exterior angle property of the triangle which states:

"An exterior angle of a triangle is equal to the sum of the opposite interior angles".

So, exterior angle C = $m \angle A + m \angle B$

$117^\circ = 65^\circ+ m \angle B$

$m \angle B = 52^\circ$

Now, applying angle sum property in triangle ABC which states:

"The sum of all the angles of a triangle is 180 degrees".

$m \angle A + m \angle B + m \angle BCA = 180^\circ$

$65^\circ + 52^\circ + m \angle BCA = 180^\circ$

$117^\circ + m \angle BCA = 180^\circ$

$m \angle BCA = 180^\circ - 117^\circ$

$m \angle BCA =63^\circ$

Therefore, the measure of $m \angle B = 52^\circ$ and $m \angle BCA =63^\circ$ .

8 0

2 years ago

What is the answer to - (2 - 7x) if you simplify

alekssr [168]

Answer:

It would be

-2+7x

Step-by-step explanation:

4 0

3 years ago

The Tour de France is a bike race around the country of France. The bike race is a three week race that covers approximately 2,2

valentinak56 [21]

Answer:

Approximately 54.54% of race happened in the first week.

Step-by-step explanation:

We are given the following in the question:

Length of bike race in three weeks = 2,200 miles

Race covered in first week = 1,200 miles

Percentage of race covered in first week =

$=\dfrac{\text{Race covered in first week}}{\text{Total length of race}}\times 100\%\\\\=\dfrac{1200}{2200}\times 100\%\\\\=54.54\%$

Thus, approximately 54.54% of race happened in the first week.

4 0

2 years ago

Which of the g-values satisfy the following inequality? 7≥12−g

sergejj [24]

Answer:

g=6

Step-by-step explanation:

g=4 and g=5 will be more than 7 but g=6 is less.

4 0

2 years ago