HELP!! 2. in the figure, x is an exterior angle to the triangle below.

a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem.

Step 1: __ Step 2: __ Step 3: __

(b) what is the measurement of < x ?

Answer:

5, 25

Step-by-step explanation:

When you multiply any two whole numbers with each other and get 125 as the answer, you can say that both the numbers will be the factors of 125. 1× 125 = 125 and 5 × 25 = 125; thus, the factors of 125 are 1, 5, 25, and 125.

In 1 hour, both the pumps can drain 1 : 3 = 1/3 of the pool

And in an hour, the older pump can drain 1 : 7 = 1/7 of the pool

So in 1 hour, the newer pump will drain 1/3 - 1/7 = 4/21 of the pool

It will take the newer pump 1 : 4/21 = 21/4 hours to drain the pool on its own.

Statistical significance is also known as the risk of  Type I error

Probability is the likelihood or chance that an event will occur. Statistical significance can be used to measure the level of confidence of measured data.

The probability of the type I error is commonly called the significance level of the hypothesis test and is denoted by the symbol α.

Hence we can conclude that statistical significance is also known as the risk of  Type I error

Learn more statistical significance here:https://brainly.com/question/15848236,

Answer:

Step-by-step explanation:

The equation which results from applying the secant and tangent segment theorem to the figure is

[tex]10(a+10)=(12)^2[/tex]

The secant-tangent theorem tells the relation of the line segment made by a tangent and the secant lines with the connected circle.

According to this theorem, if the tangent and secant segments are drawn from an exterior point, then the square of this tangent segment is equal to the product of the secant segment and the line segment from that exterior point.

In the figure attached below for the circle O, the length of the DB is,

[tex]DB=10[/tex]

Here, the line segment AB is a unit. Thus, the length of line segment AD is,

[tex]AD=a+10[/tex]

The length of the tangent DE is 12 units. Thus, by the above theorem,

[tex](DE)^2=AB\times BD\\(12)^2=(a+10)\times10\\[/tex]

Hence, the equation which results from applying the secant and tangent segment theorem to the figure is

[tex]10(a+10)=(12)^2[/tex]

Learn more about the secant-tangent segment theorem here;

https://brainly.com/question/10732273

Answer:

They are disjoint.

Answer:

44,5%

Step-by-step explanation:

20x100= 2000

45 x X= 45x

2000÷45= 44,444...

Rounded 44,5

Answer:

33. 72 cm²

Step-by-step explanation:

A= 1/2 x h x (b1+b2)

 = 1/2 x 6 x (10+14)

 = 1/2 x 6 x 24

 = 6 x 12

A= 72 cm²

(btw thats the only one i know how to do, so sorry!)

Answer:

B is answer

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A and B are linear because both the x-and-y variables are to the power of one

C is linear because, for each increase in 'x' the 'y' value increases by a constant 2

D is not linear because the y-values increase by 4 then 3; not constant

Answer:

A = 2500 + 2500 · 0.06 · 4 = 3100

Step-by-step explanation:

Answer:

16/32 simplified should be 1/2

Step-by-step explanation:

divide both by 16

16÷16 = 1

32÷16 = 2

Answer:

1/2 in fraction (or 0.5 in decimal)

Step-by-step explanation:

Q) Simplify 16/32 = ?

→ 16/32

→ (16 ÷ 16)/(32 ÷ 16)

→ 1/2 (or) 0.5

Hence, the final answer is 1/2.

Answer:

See below.

Step-by-step explanation:

f(X) =x5+3x4+5x3+15x2+4x+12

=x5+12+15+30+4x+12

=(x5+4x)+(12+15+30+12)

=9x+69

Answer:

M= sq root of 2 and N= sq root of 5 would be irrational

Step-by-step explanation:

These two answer choices are irrational because they cannot be shown or expressed as a fraction.

You multiply the two items together.

For instance, if there were 10 students and each painted 3 pictures, then we'd have 10*3 = 30 pictures total. In this case, the "10" is replaced with a more general term "s" as a placeholder.

The height of the all after 2 secs is 86 feet

Given the height in feet above the ground was given by the following function h(t) = -16t^2 + 75t

where:

t is the number of seconds since the ball was punted.

If the value of t = 2s, hence;

h(t) = -16t^2 + 75t

h(2) = -16(2)^2 + 75(2)

h(2) = -64 + 150
h(2) = 86

Hence the height of the all after 2 secs is 86 feet

Learn more about linear equation here: https://brainly.com/question/14323743

Answer:

135 in

Step-by-step explanation:

convert inches to feet

11*12=132

135>132

135 inches are longer

Answer:[tex]\frac{1}{64}[/tex]

Step-by-step explanation:4^-3=1/(4^3)=1/64

Answer:

There are 40 more females than males.

In total there would be 60 females, and 20 males.

Step-by-step explanation:

Answer: a. pi=3.1, sqrt of 3=1.7, 2*sqrt of 3=3.5, sqrt of 5=2.2

b. sqrt of 3, sqrt of 5, pi, 2*sqrt of 3

Step-by-step explanation: Hi there.

1. Calculate the value of each (value shown above; sqrt= square root)

2. Order them from smallest to biggest.

Answer:

3.374 {final answer}

Step-by-step explanation:

Q) 5.316 - 1.942 = ?

The answer will be,

5.316

-1.942

3.374

Hence, the solution is 3.374.

Answer:  [tex]\frac{-3\sqrt{13}+4\sqrt{3}}{20}[/tex]

This is the single fraction of -3*sqrt(13)+4*sqrt(3) up top all over 20.

sqrt = square root

=======================================================

Explanation:

Angle theta is between pi and 3pi/2. This places the angle in quadrant Q3 where both cosine and sine are negative

Use the pythagorean trig identity to get the following:

[tex]\sin^2 \theta + \cos^2 \theta = 1\\\\\sin^2 \theta + \left(-\frac{\sqrt{3}}{4}\right)^2 = 1\\\\\sin^2 \theta + \frac{3}{16} = 1\\\\\sin^2 \theta = 1 - \frac{3}{16}\\\\\sin^2 \theta = \frac{16}{16} - \frac{3}{16}\\\\\sin^2 \theta = \frac{16-3}{16}\\\\\sin^2 \theta = \frac{13}{16}\\\\\sin \theta = -\sqrt{\frac{13}{16}} \ \text{ ... sine is negative in Q3}\\\\\sin \theta = -\frac{\sqrt{13}}{\sqrt{16}}\\\\\sin \theta = -\frac{\sqrt{13}}{4}\\\\[/tex]

Angle beta is in Q1 where sine and cosine are positive.

Draw a right triangle with legs 3 and 4. The hypotenuse is 5 through the pythagorean theorem. In other words, we have a 3-4-5 right triangle.

Since [tex]\tan \beta = \frac{3}{4}[/tex], this means [tex]\sin \beta = \frac{3}{5} \ \text{ and } \ \cos \beta = \frac{4}{5}[/tex]

Use these ideas:

In this case we have: opposite = 3, adjacent = 4, hypotenuse = 5.

-------------------------------------

To recap:

[tex]\cos \theta = -\frac{\sqrt{3}}{4}\\\\\sin \theta = -\frac{\sqrt{13}}{4}\\\\\cos \beta = \frac{3}{5}\\\\\sin \beta = \frac{4}{5}\\\\[/tex]

They lead to this

[tex]\sin\left(\theta + \beta\right) = \sin \theta * \cos \beta - \cos \theta * \sin \beta\\\\\sin\left(\theta + \beta\right) = -\frac{\sqrt{13}}{4} * \frac{3}{5} - \left(-\frac{\sqrt{3}}{4}\right) * \frac{4}{5}\\\\\sin\left(\theta + \beta\right) = -\frac{3\sqrt{13}}{20}+\frac{4\sqrt{3}}{20}\\\\\sin\left(\theta + \beta\right) = \frac{-3\sqrt{13}+4\sqrt{3}}{20}\\\\[/tex]

5.009, 5.09, 5.3, 5.3071.

Answer:

-10 vertically and -1 horizontally

Explanation:

shifts -1 horizontally, -10 vertically

note: vertically is up ↑ and bottom ↓ , horizontal is right → and left ←

Answer:

h = 2 cm

402 over 3.14 x (8) to the power of two. SImplifies to about the answer of 2

Solution:

Note that:

Simplify the equation to find out how much cookies did each friend get.

One friend got 2/9 of tray of cookies.

Answer:

[tex]a_{n}=2+3(n-1)[/tex]

Step-by-step explanation:

Step 1. To find the equation that describes the pattern, we use the arithmetic sequence formula:

[tex]a_{n}=a_{1}+d(n-1)[/tex]

Where a_n is the n'th terms and d is the common ratio between the numbers.

Step 2. The sequence we have is:

2 5 8 11

The first term is:

[tex]a_{1}=2[/tex]

And the common ratio or the difference between consecutive numbers is:

3 2+3=8 5+3=8  8+3=11

This will be the value of d:

d=3

Step 3. Substituting a_1 and d into the formula:

[tex]a_{n} =a_{1}+d(n-1)\\a_{n}=2+3(n-1)[/tex]

This is the equation that represents the number pattern, it represents that we add three each time to the previous number in the sequence.

Hence, the correct answer is [tex]a_{n}=2+3(n-1)[/tex]



Answer:

geometric sequence

Step-by-step explanation:

In an arithmetic sequence the terms increase or decrease by the same amount each time. In a geometric sequence the terms are multiplied by a common ration.

The given sequence, 2,4,8,16,32 the terms do not increase by a constant number each time and they are instead multiplied by a common ratio.

Eg. to get to 4 from 2 you multiply by 2, to get to 8 from 4 you multiply by 2. this same process happens throughout the sequence therefore this is a geometric sequence

Answer:

The sequence is geometric

Step-by-step explanation:

The sequence is geometric.

Definition of geometric sequence: A sequence where the next number is made by multiplying the common ratio with the previous number.

In this sequence, there is 2, 4, 8, 16, and 32

4 is made by multiplying 2 with the common ratio, which is true

8, is made by multiplying 4 with the common ratio, 2

As you can see, the numbers have a common ratio of 2, which means this sequence is geometric

Let me know in the comments if you have any questions. If you could mark this answer as the brainliest, I would very much appreciate it!

Answer:

[tex]\dfrac{12}{35}[/tex]

Step-by-step explanation:

2/5 ths of 6/7 ths:

[tex]\implies \dfrac67 \times \dfrac25=\dfrac{6\times 2}{7\times5}=\dfrac{12}{35}[/tex]

Answer:

[tex]-5xy -13xy=-18xy[/tex]

[tex]m^8n^1 * m^3n^5=m^{11} n^6[/tex]

Step-by-step explanation:

[tex]-5xy -13xy=-18xy[/tex]

[tex]m^8n^1 * m^3n^5[/tex]

[tex]m^{8+3} =m^{11}[/tex]

[tex]n^{1+5} =n^6[/tex]

[tex]m^{11} n^6[/tex]

Hope this helps!