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2 years ago

Which of the following is the line of symmetry for the figure shown below?

Mathematics

1 answer:

scoray [572]2 years ago

7 0

Answer:

Line A

Step-by-step explanation:

A line of symmetry is a line that divides a shape into exactly two equal halves.

A triangle is a polygon with three sides and three angles. A scalene triangle has no lines of symmetry, an isosceles triangle has more than one line of symmetry while an equilateral triangle has three lines of symmetry.

From the diagram we can see that line A divides the figure into two equal halves, hence line A is the line of symmetry.

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How to solve the problem 12x - 14x - 10 by factoring.

polet [3.4K]

Subtract 14x14⁢x from 12x12⁢x to get −2x-2⁢x.−2x−10

8 0

3 years ago

Find two SQUARE numbers that have a sum of 130

LenaWriter [7]

So we need to find two square numbers whos sum is equal to 130. That question has more than one answer because we can choose any two real numbers whos squared values sum is 130. For this example we have 81 + 49 = 130 and we can write them like this: 9^2 + 7^2 = 130. So the two numbers whos square values sum is 130 are 9 and 7.

5 0

2 years ago

A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 sen

tatyana61 [14]

Answer:

96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

Step-by-step explanation:

We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the average desired retirement age, with a standard deviation of 3.4 years.

Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average desired retirement age = 55 years

$\sigma$ = sample standard deviation = 3.4 years

n = sample of seniors = 101

$\mu$ = true mean retirement age of all college students

Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 96% confidence interval for the population mean, $\mu$ is ;

P(-2.114 < $t_1_0_0$ < 2.114) = 0.96 {As the critical value of t at 100 degree

of freedom are -2.114 & 2.114 with P = 2%}

P(-2.114 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.114) = 0.96

P( $-2.114 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.114 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

P( $\bar X-2.114 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.114 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

96% confidence interval for $\mu$ = [ $\bar X-2.114 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.114 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $55-2.114 \times {\frac{3.4}{\sqrt{101} } }$ , $55+2.114 \times {\frac{3.4}{\sqrt{101} } }$ ]

= [54.30 , 55.70]

Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

7 0

2 years ago

(3x + 1) > -7+ 3x Plz help me

Luda [366]

Answer:

0, -1

Step-by-step explanation:

This question was answered in another place since you asked it twice. Please refer to the other place that you asked the same question.

5 0

2 years ago

X to the 2nd power minus 6 equals 1

alexandr402 [8]

Answer:

2.646

Step-by-step explanation:

You have to 6 to the 1 and then take the square root of the number which is seven leaving you with 2.646

3 0

2 years ago

Read 2 more answers