What is the range of the data set 22 30 49 71 85 88 92 97 99

Answers

Answer 1

Answer: the range is 77. you calculate range by subtracting the smallest number from the biggest number.

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Tony is going to put $900 in a savings account that earns 3.2% simple interest. He will leave the money in there for 4 years. How much money will he earn in interest? What will his account balance be at the end of 4 years?

Answers

Your answer would be $115.20 for your interest in all. His account balance would be $1015.20 at the end of four years.

I got this answer by first multiplying 900 times .032. I got the .032 by saying that 3 percent is .03, and .2 percent is a .002. .032 would be that percentage in a decimal version. I got 28.8 from that, so that would be your simple interest. Multiply that by four for your total interest together, and add 900 to it to get your answer.

A cinema seats 250 people. If 170 people are in the cinema, what percentage of the seats are filled? 42 54 75 68 55

Answers

Given:
250 people. maximum capacity of the cinema
170 people in the cinema

170/250 = 0.68
0.68 * 100% = 68%

68% of the seats are filled.

Percentage = (170/250)*100 = 68.

Which is greater? 45.678 or 456.78?

Answers

456.78 is greater. If your look where the decimal place is you can see the greater number.

Write the vertex form equation for this parabola: Focus (3,-9), Directrix X=-3

Answers

Y=KX+M
-9=(-3/9)*-3+m
-9=1+M
M=-10

Y=(-3/9)-10 is the answer

Triangles L O N and L M N share common side L N. Angles O L N and N L M are congruent. What additional information would be needed to prove that the triangles are congruent using the ASA congruence theorem? ON ≅ MN ∠LON ≅ ∠LMN LN ≅ NM ∠LNO ≅ ∠LNM

Answers

The additional information required to prove that the triangles are congruent using the ASAcongruence theorem is; ∠LNO ≅ ∠LNM

We are given that;

△LON and △LMN share a common side LN.

This means that for both triangles LN = LN by reflexive property as LN is congruent to itself.

Secondly, we are told that;

∠OLN and ∠NLM are congruent.

We can see that L is an included angle of the congruent side LN.

Now, ASA congruency means Angle - Side - Angle. That means two congruent angles and the included side.

Thus, we need one more angle of the included side LN.

We already have for L, and so the remaining angles that will make△LON and △LMN congruent are;∠LNO and ∠LNM.

Read more on ASA Congruence at; brainly.com/question/3168048

Answer:

The answer is " $\bold{\Delta LNO \cong \Delta LMN \ if\ \angle LNO = \angle LNM}$ "

Step-by-step explanation:

Two angles will be congruent to each other in order to show ASA congruence between all the triangles. Its angle $\angle LNO \cong \angle LNM$ is a common angle in both triangles As a result, we'll use the ASA congruence law to show that perhaps the triangles are congruent.

$In\ \Delta LON \ and \ \Delta LMN \n\n Side\ \ ON \cong Side\ \ MN \n\n\angle LNO \cong \angle LNM ( \because common ) \n\n \angle LON \cong \angle LMN (\because Given ) \n\n\to \Delta LON \cong \Delta LMN \text{( through the ASA congruence theorem)}\n$

If the factors of a polynomial are x+7 and x-3, what values of x make that polynomial 0?

Answers

The values that make x that polynomial would be 0 would be 7 and negative 3.

Hope this helps:)

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