2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of the triangle is 47 degrees. The exterior angle created by the right side of the triangle and the top horizontal line is x degrees. The bottom left angle of the triangle is y degrees. The exterior angle of the bottom right angle is z degrees above the horizontal line and 63 degrees below.
Which statements about the diagram are true? Select three options.

x = 63
y = 47
z = 117
x + y = 180
x + z = 180

Answer:

add two and five is the first step beacuse there in ()

Step-by-step explanation:

Answer:

Parentheses. Add 2 and 5.

Step-by-step explanation:

Use the P.E.M.D.A.S expression. (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.) As you can see, there are parentheses in your expression, so use PEMDAS to do order of operations problems like this.

Step-by-step explanation:

πr²= Area of a circle

In this case:

π16²

So therefore, the answer is A

Hope this helped!

Answer:

33.1

Step-by-step explanation:

cos(65)=14/x

x=33.1

Answer:

b

Step-by-step explanation:

h

Answer:

0.6154 = 61.54% probability that the student is an undergraduate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Foreign

Event B: Undergraduate.

There are four times as many undergraduates as graduate students

So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.

Probability the student is foreign:

10% of 80%

25% of 20%. So

[tex]P(A) = 0.1*0.8 + 0.25*0.2 = 0.13[/tex]

Probability that a student is foreign and undergraduate:

10% of 80%. So

[tex]P(A \cap B) = 0.1*0.8 = 0.08[/tex]

What is the probability that the student is an undergraduate?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.13} = 0.6154[/tex]

0.6154 = 61.54% probability that the student is an undergraduate

Answer:

Your answer is B

Step-by-step explanation:

The lowest number is 4, therefore it cannot be C.

Now you'll have to cross out numbers on both sides and your mean will be 9 because you'll have to add 8 and 10 together and 18 divided by 2 is 9.

Next, put a line between 8 and 10, now the 8 side is the lower quartile and the 10 side is the greater quartile.

For the lower quartile, add 7 and 7 together, divide 14 by 2 and the lower quartile is 7.

For the greater quartile, add 11 and 13 together, that's 24, divide 24 by 2 and that's 12.

Lowest: 4

Mean: 9

Lower quartile: 7

Greater quartile: 12

Highest: 14

Therefore your answer is B and not A or C.

Answer:

False

Step-by-step explanation:

You can have more than one line of symmetry to divide figures into more than two equal parts.

Answer:

So, the error is [tex]4.8\pi r[/tex].

Step-by-step explanation:

Error in measuring the radius = 0.6 %

Let the radius is r.

The surface area of sphere is

[tex]S= 4\pi r^2\\\\dS = 4 \pi\times 2 r dr\\\\dS =8\pi r \times 0.6 = 4.8\pi r[/tex]

The cost to purchase the mountain bike is $439.85.

Answer:

Real number and Irrational number

Step-by-step explanation:

Given

[tex]-\sqrt{ 20[/tex]

Required

The set it belongs to

First, solve the expression

[tex]-\sqrt{ 20} = -4.472136[/tex]

The above number is not an integer and it is not whole or natural because it has decimal points

It is not a rational number because it cannot be expressed as a simple fraction

However, the number can be categorized as either irrational or real because of the level of the decimal point in the result

Sin A =  opp/hyp = 4/5

Cos A = adj/hyp =  3/5

Tan A = opp/adj =  4/3

Cos 27 = 0.8910065...  --> 0.89

You can just plug that into your graphing calculator, just make sure the degree mode is on.

Answer:

[tex]pressure = \frac{force}{area} \\ = \frac{50}{5} \\ = 10 \: N {m}^{ - 2} [/tex]

Answer:

B and F

Step-by-step explanation:

Given

Functions A and B

Required

Select the true statements

First, determine the equation of A

We have:

[tex](x_1, y_1) = (1,2)[/tex]

[tex](x_2, y_2) = (3,10)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{10 - 2}{3 - 1}[/tex]

[tex]m = \frac{8}{2}[/tex]

[tex]m =4[/tex]

So, the equation is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 4(x - 1) + 2[/tex]

[tex]y = 4x - 4 + 2[/tex]

[tex]y = 4x -2[/tex]

So, we have:

[tex]y = 4x -2[/tex] ------ A

[tex]y = 3x + 4[/tex] ---- B

The y intercept is when [tex]x = 0[/tex]

So, we have:

[tex]y = 4 * 0 - 2 = -2[/tex] ---- y intercept of A

[tex]y = 3 * 0 + 4 = 4[/tex] ---- y intercept of B

By comparison:

[tex]-2 < 4[/tex]

Hence: (b) is correct

The rate of change of a function [tex]y = mx + b[/tex] is m

So:

The rate of change of A is:

[tex]m_A=4[/tex]

and for B is:

[tex]m_B=3[/tex]

By comparison:

[tex]4 > 3[/tex]

Hence: (F) is correct

Answer:

Correct Work

5(x+9) - 3x +4

5x+ 45- 3x+ 4

5x-3x +45+4

2x+49

Mistake made:

Answer: 1: Combine multiplied terms into a single fraction

2: Multiply the numbers

3: Add the numbers

4: Solution

= 43/2

Step-by-step explanation:

Answer:

v = 43/2.

Step-by-step explanation:

2/7v - 1/7 + 14 = 20

2/7 v = 20 - 14 + 1/7

2/7 v = 6 1/7

2/7 v = 43/7

v = 43/7 / 2/7

v = 43/7 * 7/2

v = 43/2

Answer:

I think the manager is correct because Jenny should not order the belts according to its sold quantity or according to the demand of other people.She must choose the size according to her waist size and the other's for whom she is going to buy.

Will you mark it the brainliest please because I answered your question inspite of being in class:)

Answer:

16

Step-by-step explanation:

8/1/2

8 divided by 1/2

8 x 2/1 = 16

Answer:

Step-by-step explanation:

P=8/V

1/2=8/V

do cross multiplication

2*8=V*1

16=V

Answer:

3.1416 square meters

Step-by-step explanation:

brainliest me pls

8 is in the left side of the number line

3 is in the right side of the number line

Answer:

72

Step-by-step explanation:

Answer:

what are the answers if you want help

The plane J and line KF intersect at point K on the plane.

A plane is a two-dimensional doubly ruled surface spanned by two linearly independent vectors. A plane extends infinitely in two dimensions. It has no thickness.

A line is a one-dimensional figure, which has length but no width. It is determined by two points in a two-dimensional plane. A line is made of a set of points which is extended in opposite directions infinitely.

For the given situation,

The diagram shows a plane J and some line segments.

If a line and a plane have only one point in common, then the line intersects the plane.

From the diagram, it is clearly seen that the plane J and line KF intersect at point K on the plane.

Hence we can conclude that the plane J and line KF intersect at point K on the plane.

Learn more about planes and lines here

https://brainly.com/question/16798452

#SPJ2

Step-by-step explanation:

Ans is C

Y intercept in the negative part of y so it's - 3

The slope is going up with respect to y-axis and rise < run so it's 2/3

Answer:

This question would be answered by doing devision because you are splitting  the amount of cookies that should be delivered amongst 13 girls.

1,000/13

76.92307692

That is what came out in my calculator. I don't know if you need it in decimal or in a solid integer but if you were to round 76.9 you would get 77, it is always good to check your work so,

77 times 13

1001

That equals 1001 so that would help at least reach their goal of 1,000 boxes of cookies.

Step-by-step explanation:

I really hope this helps!

Answer:

x=6.1

Step-by-step explanation:

using sine

sin 34 = opposite/hypotenuse

sin 34=3.4/x

make x subject of the formula

x =3.4/sin 34

x =6.08019161

x≈6.1(to the nearest tenth)

Answer:

x = 96

Step-by-step explanation:

[tex]log_b \ x = \frac{2}{3}log_b \ 27 + 3log_b \ 2 - log_b \ 3 + \frac{2}{3}log_b \ 64 - log_b \ 4[/tex]

         [tex]=\frac{2}{3}log_b \ 27 + 3log_b \ 2 + \frac{2}{3}log_b \ 64 -(log_b \ 3 + log_b \ 4) \\\\=(log_b \ (27)^{\frac{2}{3}} + log_b \ 2^3 + log_b \ (64)^{\frac{2}{3}}) -(log_b \ 3 + log_b \ 4) \\\\=log_b \ ( (27)^{\frac{2}{3}} \cdot 2^3 \cdot (64)^{\frac{2}{3}}) -log_b \ (3 \cdot 4) \\\\=log_b \ \frac{( (27)^{\frac{2}{3}} \cdot 2^3 \cdot (64)^{\frac{2}{3}})}{ (3 \cdot 4)} \\\\=log_b (\frac{9 \times 8 \times 16}{3 \times 4})\\\\=log_b (3 \times 8 \times 4)\\\\=log_b \ 96[/tex]

Therefore, x = 96

Answer:

C

Step-by-step explanation:

The vertical asymptote occurs at x=6. Hence denominator of the fraction should be x-6. Hence it is C

Answer:

X=4

Step-by-step explanation:

Distribute  

5(x−10)=30−15x

5 − 5 0 = 3 0 − 1 5

Rearrange terms

5x−50=30−15x

5 − 5 0 = − 1 5 + 3 0

Add  5 0  to both sides of the equation

5x-50+50=-15x+30+50

Add  1 5  to both sides of the equation

5 + 1 5 = − 1 5 + 8 0 + 1 5 \

2 0 /2 0 = 8 0/ 2 0

= 4

Option B is correct, the value of x in the equation 5(x - 10) = 30 – 15x is 4,

Two or more expressions with an Equal sign is called as Equation.

The given equation is 5(x - 10) = 30 – 15x

Five times of x minus ten equal to thirty minus fifteen times of x.

x is the variable in the equation

Apply distributive property on left hand side

5x-50=30-15x

Take the variables on one side and constants on other side

5x+15x=30+50

Combine the like terms

20x=80

Divide both sides by 20

x=4

Hence, the value of x in the equation 5(x - 10) = 30 – 15x is 4, option B is correct.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Answer:

C: .75

Step-by-step explanation:

I really just subtracted

Answer:

D

Step-by-step explanation:

Let w represent the width

Length=18+W

And width=w

So area of a Triangle equals (length times width)divided by two

Area=(18+w)(w)/2

And the area is given to us as 189

180=(18w+w^2)/2

Multiplying both sides by two yields

360=18w+w^2

The subtract 360 from both sides to get

w^2 +18w-360=0