Which pairs of angles are always congruent? (select all that apply)
Corresponding Angles

Same Side Exterior Angles

Alternate Exterior Angles

Linear Pair Angles

Vertical Angles

Same Side Interior Angles

Alternate Interior Angles

Answer:

Step-by-step explanation:

From the figure attached,

Point X is the midpoint of line AC.

Since coordinates of the midpoint of the segment joining endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Therefore, coordinates of the point X will be,

= [tex](\frac{0+2a}{2},\frac{2a+0}{2})[/tex]

= (a, a)

From triangle AXB,

Length of AB = 2a

Length of AX = [tex]\sqrt{(a-0)^2+(a-2a)^2}[/tex]

                      = [tex]a\sqrt{2}[/tex]

Length of BX = [tex]\sqrt{(a-0)^2+(a-0)^2}[/tex]

                      = [tex]a\sqrt{2}[/tex]

Length of AX = BX = [tex]a\sqrt{2}[/tex]

Therefore, triangle AXB is an isosceles triangle.

Answer:

2.25

Step-by-step explanation:

Since its a perfect square and you know the area, all you have to do it divide 9 by 4

(Hope that helps (= The given says the height distribution is normally distributed with the mean height equal to 68 inches. In this case, the bell-shaped curve has a vertical symmetry at 68 inches. This means, half of the mean exceeds 68 inches while the other half has height below 68 inches.

The height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For this case, let we take:

Then, according to the given data, we have:
[tex]X \sim N(\mu = 68, \sigma = 2.5)[/tex]

where [tex]\mu[/tex] is mean value of X and [tex]\sigma[/tex] is standard deviation of X (both in inches).

Also, we can write:

[tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex]

Since normal distribution is symmetric about its mean, we can take a and b equidistant from the mean, so as to get a symmetric range which makes much more sense than taking an asymmetric range which doesn't comply with the nature of values of X.

Thus, we have:

[tex]\mu - a = b - \mu\\b = 2\mu - a[/tex]

From this result and [tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex], we get:
[tex]P(X < a) + P(X > 2\mu -a) = 0.05[/tex]

Converting X to Z(the standard normal distribution), we get;
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]P(X < a) + P(X > 2\mu -a) = 0.05\\\\P(Z < z = \dfrac{x-\mu}{\sigma} = \dfrac{a-68}{2.5}) + P(Z > \dfrac{2(68) - a - 68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > \dfrac{68-a}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > -\dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z \leq \dfrac{a-68}{2.5}) = 0.05 \: \: \: \: (\because P(Z > -k) = P(Z \leq k))\\\\2P(Z < \dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) = 0.025[/tex]

Using the z-tables, we get the value of Z for which p-value is 0.025 as

-1.96

Thus, we get:
[tex]\dfrac{a-68}{2.5} = -1.96\\\\a = 68 + (-1.96 \times 2.5)\\a = 63.35[/tex]

Thus, we get: [tex]b = 2\mu - a = 2(68) - 63.35 = 72.65[/tex]

Thus, the range is [a,b] = [63.35, 72.65]

Thus, the height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

Learn more about standard normal distribution here:

https://brainly.com/question/10984889

Answer: Tiffany got 45 questions right! Hope this helped.

Step-by-step explanation:

Answer:

Wouldn’t y be 4 and x be 1?

Answer:

Y = -1X + 5

Step-by-step explanation:

I just solved it, it was a long problem, I don't wanna talk you through it. I think I'm correct.

Hope this helps! Let me know!

Answer:

Option 1

Step-by-step explanation:

First inequality:

-x/3>=-3 => x<9

Second inequality:

x>=17

Answer:

Your photo wont show up

Step-by-step explanation:

Answer:

Hello

1.  B. 2.35 * 10^11

2. A. 3 * 10^-2

Answer:

No

Step-by-step explanation:

The confidence interval of the percentage of people that favored Mario = number of votes favoring Mario ± Margin of error

The confidence interval = 53.9% ± 4.2% = (49.7%, 58.1%)

This means that between 49.7% to 58.1% of the people would have voted for Mario.

Hence Yin Ling would not have won the election, since there is a probability that 50% would have voted for Mario

Answer:

[tex]cos^2\theta + sin^2\theta = 1[/tex]

Step-by-step explanation:

Given

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2[/tex]

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2[/tex]

Going by the Pythagoras theorem, we can assume the following.

So, we have:

[tex]Sin\theta = \frac{a}{r}[/tex]

[tex]Cos\theta = \frac{b}{r}[/tex]

Having said that:

The expression can be further simplified as:

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex]

Substitute values for sin and cos

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex] becomes

[tex]cos^2\theta + sin^2\theta = 1[/tex]

Answer:

x = - 3

Step-by-step explanation:

Solve by isolating x on one side of the equation.

12x+12=8x

     -12    -12

12x=8x-12

      -8x

4x=-12

4x/4=-12/4

x = - 3

Answer:

The question asks if they must be congruent, so the answer is false

Step-by-step explanation:

All the angles are equal

47 = 47

62=62

71=71

The side between the 62 and 71 equals 7 on the left, we are not given the side between the 62 and the 71 on the right so we do not know if the triangles are congruent.  We need to have one of the sides be equal for the triangles to be congruent.

The question asks if they must be congruent, so the answer is false

Answer:

FALSE

Step-by-step explanation:

ap3x

Answer:d^4+2d^3+4d^2+6d+3

Step-by-step explanation:

Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

Answer:2.97 ×10 − 19 J

Answer:

It will tale 1 hour before they meet and they will meet agin at 9 :00 AM.

Step-by-step explanation:

Speed of Jane, [tex]v_1=3[/tex] mph

and the speed of Jillian, [tex]v_2= 5[/tex] mph.

Length of one complete circle = 8 miles.

Both are moving in the opposite direction, let the starting point is at O, and met at the point P after time, t, as shown in the figure.

Let the length covered by Jane via path OAP= x miles.

[tex]\Rightarrow x= 3t[/tex] [as distance= speed x time]

[tex]\Rightarrow t=x/3 \cdots(i)[/tex]

The length covered by Jillian via path OBP [tex]= 8-x[/tex] miles

[tex]\Rightarrow 8-x= 5t[/tex] [as distance = speed x time]

[tex]\Rightarrow t=(8-x)/5 \cdots(i)[/tex]

Now from equation (i) and (ii),

[tex]\frac{x}{3} = \frac{8-x}{3}[/tex]

[tex]\Rightarrow 5x=3(8-x)[/tex]

[tex]\Rightarrow 5x+3x=24[/tex]

[tex]\Rightarrow x=3[/tex]

So, the distanc covered by Jane = 3 miles and

the distanc covered by Jillian = 8-3=5 miles

From equation (i), time taken, t = 3/3= 1 hour.

So, it will tale 1 hour before they meet.

As the startion time was 8:00 AM, so the will agin meet at 9 :00 AM.

Answer:

The total weight of the smaller packages is 84 lb

Answer:

1847 - 24% decrease

1848 - 68.42% increase

Hope this helps.

Answer:

[tex] \sqrt{5} < 2.9 \\ = true \\ \\ 4 > \sqrt{23} \\ = false \\ \\ \frac{ \sqrt{30} }{5} < \frac{7}{5} \\ = true[/tex]

Thank you ☺️☺️

Answer:

54%

Step-by-step explanation:

Getting a head or a tail are two mutually exclusive events. Thus, given that probability of getting a tail is 0.46, the probability of getting a head is 0.54.

Two events are mutually exclusive or disjoint if they cannot both occur at the same time.

P(getting a head) + P(getting a tail) = 1

(Getting a head and getting a tail are mutually exclusive events. This implies that when we toss a coin, we either get a head or a tail.)

P(getting a head) + 0.46 = 1

P(getting a head) = 1 - 0.46 = 0.54

Learn more about mutually exclusive events here

https://brainly.com/question/5492865

#SPJ3

Answer:

-9 points

Step-by-step explanation:

Answer:

3%

Step-by-step explanation: 315/325 as a percent would be 96.92%. After finding that, we would do 100 - 96.92, yielding 3.08, 3.08 to the nearest percent would result in 3%

Answer:

the answer to the nearest percent is 3%

Answer:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers

Answer:

C. it cannot be a whole number

Step-by-step explanation:

Answer:

(-5, 3)

Step-by-step explanation:

Moving up one will give you (-2, 3) and moving left three brings you to (-5, 3).

Answer:

V= 5 X=6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

So it needs to go down because its negative. So B and C are out. Now if you look at the y intercept (4), you just have to look at which graph has a y intercept that's positive. So that's D