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2 years ago

The pentagons ABCDE and PQRST are similar.

Mathematics

1 answer:

Artemon [7]2 years ago

3 0

The value of x, which is the length of ST in the given similar polygons is: 2.4.

<h3>What are Similar Shapes?</h3>

If two shapes are similar to each other, the ratio of their corresponding side lengths would be equal.

Thus, since both pentagons are similar, we would have:

CB/RQ = DE/ST

Plug in the values

5/6 = 2/x

Cross multiply

x = (6 × 2)/5

x = 12/5

x = 2.4

Therefore, the value of x, which is the length of ST in the given similar polygons is: 2.4.

Learn more about similar shapes on:

brainly.com/question/4381215

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An astronaut on the moon throws a baseball upward. the astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is

BabaBlast [244]

Answer:

Step-by-step explanation:

This was answered in question #24217201. It's the exact same question, but you forgot to put what parts A and B are. The answers and the work are there.

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3 years ago

Determine whether each sequence is arithmetic. If so, identify the common difference.

-Dominant- [34]

Answer:

Options 1 and 4 are arithmetic

Step-by-step explanation:

Arithmetic means that you are adding or subtracting a number in a sequence.

For option 1, we are adding 2 every time.

-3 + 2 = -1 -1 + 2 = 1 1 + 2 = 3

For option 4, we are subtracting 7 every time.

32 - 7 = 25 25 - 7 = 18 18 - 7 = 11

Option 2 is geometric. Geometric means you are multiplying or dividing by a number in a sequence.

2 * 3 = 6 6 * 3 = 18 18 * 3 = 54

Option 3 is actually quadratic. This is similar to a arithmetic, except instead, the amount added to the number is multiplied by 2 every time.

1 + 2 = 3 (2 + 2 = 4) 3 + 4 = 7 (4 + 4 = 8) 7 + 8 = 15

4 0

3 years ago

Moira borrowed $4,500 from her grandfather to pay for her first year of college. Three years later, she repaid the $4,500 a long

IgorC [24]

Answer: The annual interest rate is 1.06%

Step-by-step explanation: This is a simple interest computation.

The formular for a simple interest is given as;

I = (P ×R × T)/100

Where I represents the interest paid,

P represents Principal borrowed at the beginning

R represents the rate at which the interest is calculated

T represents the Time measured in number of years

If the interest is calculated as I = (P×R×T)/100, we should first of all make R the subject of the formular;

Multiply both sides by 100

100I = P×R×T

Divide both sides of the equation by P and T

(100I)/(P × T) = R

Now we can insert the values into the rearranged formular

(100 × 143)/(4500 × 3) = R

14,300/13,500 = R

143/135 = R

1.0592592593 = R

Therefore, R which is the rate of interest equals approximately 1.06%

5 0

3 years ago

Suppose you have an isosceles triangle with a 90° angleIf the congruent sides each measure 9 feet, what is the length of the sid

Zepler [3.9K]

Answer:

$9\sqrt{2}$ feet

Step-by-step explanation:

Consider the attached figure.

An isosceles triangle is a triangle in which two sides are equal.

$AB=BC=9$ feet

According to Pythagoras theorem,

square of hypotenuse is equal to sum of squares of other two sides.

$AC^2=AB^2+BC^2\\AC^2=9^2+9^2\\AC^2=81+81\\AC^2=162\\AC=\sqrt{162}$

$AC=9\sqrt{2}$ feet

6 0

3 years ago

3e + 7 - e and 2e + 10 + 2e -3

ch4aika [34]

Answer:

The sum is

$6e + 14$

Step-by-step explanation:

Assuming we are finding the sum of :

3e + 7 - e and 2e + 10 + 2e -3

Then we set up the addition as follows:

$3e + 7 - e + 2e + 10 + 2e - 3$

We group similar try to get:

$3e - e + 2e + 2e - 3 + 7 + 10$

We now combine the similar terms to obtain:

$6e + 14$

Therefore the sum is

$6e + 14$

5 0

4 years ago