In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sum of the other angles. Which of the following could represent the measures of the three angles?

Answers

Answer 1

Answer:
Hi

As stated:

x , the first
2x, the second

3x, the third (sum of first two)

x + 2x + 3x = 180°
6x = 180°
x = 30°

Measures of the Angles would be 30°, 60°, 90°

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Answer 2

Answer:

hey guys, dont vote badly on the other persons answer. theyre right, you just gotta read it closely.

x = first

2x = second

3x = third

the answer is x, 2x, 3x :)

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Charlie solved an equation, as shown below:Step 1: 5x = 30
Step 2: x = 30 – 5
Step 3: x = 25

Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.
Part B: How many solutions will this equation have?

Answers

Part A : His solution is incorrect because whenever you have a number "connected to" the variable, you have to divide. & what you do to one side, you have to do to the other. So, for step 2, instead of subtracting 5, you divide by 5. By doing this, you will then have 'x' by itself on the left, & on the right 30/5= 6. So, x=6.

Showing...
Step 1: 5x=30
Step 2: 5x/5=30/5 (the 5s cancel out, leaving you just x on the left)
Step 3: x=6

Part B : This solution will have only 1 answer, & that answer is 6. -6 wouldn't be counted as one because if you plug -6 into the equation as x, the sides won't equal, you'll have -30=30 which isn't true.

Hope this makes sense & helps you ! (:

If names a major arc of a circle, then must be a minor arc. True or false?

Answers

Answer: The answer is true.

Step-by-step explanation: We are to check whether a major arc of a circle is also minor arc or not.

In the attached figure, A major arc AB is drawn on a circle with centre 'O'. The, we can easily see from there that the major arc AB corresponds to another arc AB which is smaller in length than the major arc AB.

This smaller arc is called the minor arc AB. This explains the existence of a minor arc whenever there is a major arc on a circle.

Thus, the given statement is true.

A major arc of a circle is an arc of a circle having a measure greater than nor equal to it s minor arc. So in your statement that states that the minor arc is a major arc and that would be True. I hope you are satisfied with my answer and feel free to ask for more

A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar equals 12.8 books and sequels 16.6 books. Construct a 99% confidence interval for the mean number of books people read. Interpret the interval.

Answers

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

$\bar X \pm z_(\alpha/2) (s)/(√(n))$

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_(\alpha/2)=2.58$

And replacing into the confidence interval formula we got:

$12.8 - 2.58 (16.6)/(√(1003))=11.448$

$12.8 + 2.58 (16.6)/(√(1003)) =14.152$

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

Rewrite the rational expression as an equivalent rational expression so that all expressions have a common denominator. 3/5,9/10,7/15,7/21

Answers

Answer:

126/210, 189/210, 98/210, 70/210

Step-by-step explanation:

find the lowest common multiple

of 5,10,15 and 21=210

42*3, 21*9, 14*7, 10*7

126/210, 189/210, 98/210, 70/210

Point R is the midpoint of line segment XY. If XR=3n+1 and YR=16-2n, what is the length of line segment XY?Please explain your work.

Answers

1) 3n+1=16-2n - add 2n to both sides - you should now be left with 5n+1=16 (remember the 2n gets canceled out) - subtract 1 from both sides - you should now be left with 5n=15 - now you divide by 5 to get n by itself - 15 divided by 5 is 3 - n=3 2) substitute n with 3 in to the original equation - so 3n+1=16-2n now becomes 3(5)+1=16-2(3) - you should get 10 for both so 10=10 3) according to the segment addition postualte , XR + YR = XY. - add 10+10 which stands for the lengths of XR and YR Answer - XY = 20

Compare the functions shown below:f(x)

x y
−3 −27
−2 −8
−1 −1
0 0
1 1
2 8
3 27
4 64
g(x)

linear graph with y intercept of negative 1 and x intercept of negative 2 h(x) = (x + 4)2 + 2

What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = 0 to x = 4?

Answers

To get the average rate of change, we simply have to use this formula:
ARC = (y2 -y1) / (x2 - x1)

For the first function:
ARC = (64 - 0) / (4 - 0) = 16

For the second function, since it's a line, the ARC would just be equal to the slope
m = ARC = (-1 - 0) / (0 - (-2)) = -0.5

For the third function:
h(0) = 18
h(4) = 66
ARC = (66 - 18) / (4 - 0) = 12

Therefore, the order of the functions from lest to greatest according to the average rate of change on the interval from x= 0 to x = 4 is:
g(x)
h(x)
f(x)

Answer:

the answer for my flvs students is g(x), h(x), f(x)

Step-by-step explanation:

i just took the test

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