Help me with this question

Mathematics

1 answer:

hjlf2 years ago

8 0

Answer:

The area is 10cm2 and the perimeter is 16cm.

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ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ? Enter your answer in the box. EF = in.

Helen [10]

The ~ symbol means that the 2 shapes are similar, meaning the same shape but not the same size.

To determine the measure of side length EF, you must find the relationship between the 2 side lengths.

You should set these up as ratios of the length to the width. So, for ABCD, it is 30/45. Make this equal to x/75. If you simplify the first ratio to 2:3, you can then multiply by both numerator and denominator by 25 to get x = 25 in/ 75 in.

Another way is to use cross products with you proportion. 75 x 30 = 45x. Solve for x to get 50 inches.

6 0

3 years ago

Which solution set describes the solutions to the inequality below?

Nuetrik [128]

<h2>Hello!</h2>

The answer is:

The sixth option,

[-6,6]

To solve the problem, we need to find which of the given options match with the solution to the inequality. As we know, solving inequalities is almost the same that solving equalities, we need to isolate the variable and then, find where it satisfies the given condition (inequality)

So, solving the inequality we have:

$-3x^{2} +1\leq -107\\-3x^{2}\leq -107-1\\-3x^{2} \leq -108\\3x^{2} \leq 108\\x^{2} \leq \frac{108}{3}\\\sqrt{x^{2} } \leq \sqrt{36}\\ x^{2\leq } +-36\\(x-6)(x+6)\leq 0$