is AC greater than, less than, or equal to BC? explain your reasoning

Is AC Greater Than, Less Than, Or Equal To BC? Explain Your Reasoning

Answers

Answer 1

Answer:

AC is greater than BC

Step-by-step explanation:

First, we know that the angle of a straight line is 180°, so angle B as a whole is equal to 180 degrees. Therefore, angle YBC + angle ABC = 180 degrees. As angle YBC is a right angle, signified by the small square on the angle, it is 90 degrees. Therefore,

90 degrees + angle ABC = 180 degrees

subtract 90 degrees from both sides to isolate angle ABC

angle ABC = 90 degrees

Therefore, as angle ABC is equal to 90 degrees, and a right angle is 90 degrees, triangle ABC has a right angle, making it a right triangle.

In a right triangle, using the Pythagorean Theorem, the square of the side opposite the right angle is equal to the sum of the squares of the other side. Since side AC is opposite the right angle, we can say that

AC² = AB² + BC²

As the length of a side has to be greater than 0, we can say that

AC² = AB² + BC²

AB² > 0

AC² > BC²

square root both sides

AC > BC

Therefore, AC is greater than BC


Related Questions

Suppose you own a rowboat and sometimes go rowing in the summer. In June, you are planning to go rowing with two of your friends (three people total in the boat), and in July, you are planning to go rowing with just one friend (two people total in the boat). Will you put in more effort (row harder) on the three-person trip or on the two-person trip?

Answers

Answer:

The three-person trip require more effort (row harder) than the two person-trip

Step-by-step explanation:

The number of persons in the boat determines the mass of the boat

The mass of the boat with three people in total is more than the mass of the boat with only two person's

Mass is a measure of inertia, which is the resistance of a body to accelerate, and therefore, to the application of a force

Therefore, on the three-person trip were three people are in the boat, the boat has more mass, and therefore more inertia and will require more effort (force) than on the two-person trip that has a lesser mass


The total profit P of manufacturing x hundred DVD's is given by the equation below.
P = 600 + 1,500x − 100x2
Find x if the total profit is $5,600.

Answers

Answer:

x = -7.5

Step-by-step explanation:

P = 600 + 1,500x − 100x^2

P = − 100x^2 + 1,500x + 600

x = -b/2a

1500/ (2 x -100)

x = -7.5

cone is inscribed in a cylinder. A square pyramid is inscribed in a rectangular prism. The cone and the pyramid have the same volume. Part of the volume of the cylinder, 1 V 1 , is not taken up by the cone. Part of the volume of the rectangular prism, 2 V 2 , is not taken up by the square pyramid. What is the relationship of these two volumes, 1 V 1 and 2 V 2 ?

Answers

Answer:

The answer is "[tex]v_1 \ and\ v_2[/tex] are equal".

Step-by-step explanation:

Its volume could be defined both by cone as well as the cylinders

[tex]\to \text{(base area)} \times \text{(solid height)} \times (\frac{1}{3})\\\\[/tex]

We are planning to write this as [tex]V = \frac{Bh}{3}[/tex]

When we relate this formula to the cylindrical and prism volume formula, we can see that when we multiply the cone volume by 3, the cylinder size where it is registered comes in. The very same goes for the pyramid as well as the inscription of the rectangular prism. That both pyramid and the cone have the same volume V, hence it would have the same volume of a cell and rectangle prism. [tex]v_1 \ and\ v_2[/tex] are so similar.

using the diagram below, what is the measure of ∠E?

Answers

Step-by-step explanation:

angle e = 50 degree,,,,,,,

Help please
What value of x will ensure that the shelves are parallel?

Answers

i’m pretty sure the answer is 84.

180-96=84

for the to be parallel both the angle must be equal

so 7x - 20 = 3x + 20 - > 4x = 40⁰

x = 10⁰



Can someone help with questions 5 -9

Answers

Answer:

THE ANSWER IS UNLIMITED

Step-by-step explanation:

THE REASON IT'S UNLIMITED IS BECAUSE YOU CAN HAVE ALL TYPES OF SHIRTS, FROM JERSEYS TO DRESS SHIRTS, TO T-SHIRTS.

Two square based pyramids are joined, total volume is 2700mm, perpendicular height of top pyramid is 16mm, perpendicular height of bottom pyramid is 20mm, length and width of joint base area both x, find x. Please help me

Answers

Answer: 15 m

Step-by-step explanation:

Given

Total volume of the combined pyramid is [tex]V=2700\ mm^3[/tex]

Height of top and bottom pyramid is

[tex]h_t=16\ mm[/tex]

[tex]h_b=20\ mm[/tex]

If the base has a side length of x, its area must be [tex]x^2[/tex]

Volume of square prism is given by

[tex]\Rightarrow V=\dfrac{1}{3}Bh\quad [\text{B=base area}]\\\\\text{Total volume will be the sum of the two pyramids}\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times 16+\dfrac{1}{3}\times x^2\times 20\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times (16+20)\\\\\Rightarrow x^2=225\\\Rightarrow x=15\ mm[/tex]

Thus, the value of [tex]x[/tex] is 15 m.

Someone help me please?

Answers

Answer:

([tex]a^{2}[/tex] + 9 ) × (2[tex]a^{2}[/tex] + 1)

for the first one try two but im not sure

Given the function (Image below) [Algebra ll]

Answers

X= -1 and -11
Put -1 and -11 in for x. The answer comes out 6

plz help by telling the answer. I will rate u 5 star and give u branist and also like plus I will follow u plz help me​

Answers

Answer:

The simple answer is we round the square root of the number of data points. For example: 25 data points = 5 bars. 100 data points = 10 bars

11. Write a compound inequality that represents each situation. Graph your solution.
all real numbers that are greater than 8 but less than 8
85x<8
8 SXS 8
-8 < x <8
8

Answers

its the third choice

whch of the following can be usefiul when finding the vaue of a variable

Answers

Answer:

i don't see anything so i cant help you sorry

Step-by-step explanation:

I need help with all of em please

Answers

Answer:5/4

Step-by-step explanation: i think this is the answer

Answer:

The area is 30 units squared, the perimeter is 17 units, and the answer to the question below is 9

Step-by-step explanation:

What is the word form of 1.604

Answers

Answer:

one point 4 inchs

Step-by-step explanation: yessuh

Answer:

one and six hundred four thousandths

What is the length of the hypotenuse of the right angle triangle, keep your answer to 1 decimal place a is 9cm and b is 13cm

Answers

Answer:

15.8cm

Step-by-step explanation:

\sqrt{9^2+13^2} =15.8113883008

15.8cm

which lines are perpendicular ?

Answers

Answer:

Lines  C and D

Step-by-step explanation:

For a pair of lines to be perpendicular ,

    the product of their slope must be - 1 .

Slope of A:

[tex]2x - 3y = 6\\\\-3y = -2x + 6\\\\y = \frac{-2x}{-3} + \frac{6}{-3}\\\\[/tex]

[tex]y = \frac{2}{3}x - 2\\\\slope_A = \frac{2}{3}[/tex]

Slope of B:

[tex]3x - 2y = - 9\\\\-2y = - 3x - 9\\\\y = \frac{-3x}{-2} - \frac{9}{-2}\\\\y =\frac{3x}{2} + \frac{9}{2}\\\\slope_B = \frac{3}{2}[/tex]

Slope of C:

[tex]y = - \frac{3}{2}x - 5 \\\\slope_C = -\frac{3}{2}[/tex]

Slope of D:

[tex]y = \frac{2}{3}x + 2\\\\slope_D = \frac{2}{3}[/tex]

Product of the slopes = - 1

[tex]slope_A \times slope_B = \frac{2}{3} \times \frac{3}{2} = 1 \neq - 1 \\\\Therefore, not\ perpendicular.\\\\Slope_B \times slope_C = \frac{3}{2} \times \frac{-3}{2} = \frac{-9}{4} \neq -1\\\\Therefore , not \ perpendiucalr.\\\\Slope_C \times slope_D = -\frac{3}{2} \times \frac{2}{3} = - 1\\\\Therefore , perpendicular\\\\\\Slope_A \times slope_D = \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} \neq 1\\\\therefore , not \ perpendicular.[/tex]

AB = 20 cm, m∠A = 30°, and m∠C = 45°. Express the number of centimeters in the length of BC in simplest radical form.

Answers

Answer:

Step-by-step explanation:

x/Sin30 = 20/sin45             multiply both sides by sin30

x = 20*sin30 / sin45

sin30 = 1/2

sin45 = 0.7071

x = 20*1/2 / 0.7071

x = 10 / 0.7071

x = 10 * sqrt(2)

Carlos and Maria drove a total of 197 miles In 3.8 hours. Carlos drove the first part of the trip and averaged 55 miles per hour. Maria drove the
remainder of the trip and averaged 47 miles per hour. For approximately how many hours did Maria drive? Round your answer to the nearest tenth if
necessary.

Answers

Answer:

1.5 hours

Step-by-step explanation:

Carlos = x

Maria = y

55x + 47y = 197

x + y = 3.8

x = 3.8 - y

55(3.8 - y) + 47y = 197

209 - 55y + 47y = 197

-8y = -12

y = 3/2 = 1.5

If function fhas zeros at -3 and 4, which graph could represent function ?

Answers

Answer:

Graph A

Step-by-step explanation:

Zeroes mean the x intercepts so the only graph that has points at -3 and 4 is GRAPH A. You can also come to the conclusion by using process of elimination.

Examine the linear functions that represent Abel and Neal's mountain biking scenario. Abel: d = 14t, Neal: d = 11t + 6 How will you inspect the equations to determine the number of solutions? Compare the slopes. If they are the same, there will be one solution. Compare the slopes. If they are different, there will be one solution. Compare the y-intercepts. If they are the same, there will be one solution. Compare the y-intercepts. If they are different, there will be one solution.

Answers

Answer:

B: Compare the slopes. If they are different, there will be one solution.

Step-by-step explanation:

I gottchu guys :)

Answer:

Step-by-step explanation:

Answer the following question.
You earn $8 per hour at a pizza parlor. Last week, you made $288. How many hours did you work in order to make that
much money?

Answers

Answer: 36 hours
In order to figure this out, you divide the total amount of by the amount made per hour so that would be 288/8 which equals 36

PLEASEEE HELPPPPPPP
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 9(1.04)d
What is the average rate of change of the function f(d) from d = 3 to d = 9, and what does it represent?

Answers

Answer:

0.4476

Step-by-step explanation:

Which graphs are the graphs of even functions?

HELP ASAP

Answers

Answer:

Step-by-step explanation:

Even functions have symmetry about the y-axis, so the graphs of even functions are the bottom 2.

Can someone ask me about this, which is algebra, please

Answers

Answer:

The correct answer is not shown in your picture. You must get a = 60.

Step-by-step explanation:

(1/2)a + (2/3)b = 50

b = 30

(1/2)a + (2/3)(30) = 50

(1/2)a + 20 = 50

(1/2)a + 20 - 20 = 50 - 20

(1/2)a = 30

2 * (1/2)a = 2 * 30

a = 60

The correct answer is not shown in your picture. You must get a = 60.

Suppose a triangle has sides a, b, and c, and that a2 + b2 > c2. Let 0/ be the
measure of the angle opposite the side of length c. Which of the following
must be true? Check all that apply.
A. 0/ is an acute angle.

B. cos 0/ > 0

C. The triangle is a right triangle.

D. The triangle is not a right triangle.

Answers

Hello,

Answer A

Indeed:

[tex]c^2=c^2+b^2-2ab*cos(\theta) < a^2+b^2\\\\-cos(\theta)<0\\\\cos(\theta)>0\ \Longrightarrow \theta < 90^o[/tex]

True statements are:

A.  [tex]\theta[/tex] is an acute angle.

C. The triangle is a right triangle.

D. The triangle is not a right triangle.

What is angle?

An angle is a combination of two rays (half-lines) with a common endpoint.

Given:

a² + b² > c²

as, the triangle with sides a, b and c.

If this is a right triangle, then the condition a² + b² > c² apply.

Using cosine law.

angle> 90 degrees which is an obtuse angle.

Also, cos [tex]\theta[/tex] is negative.

Hence, the conditions that are true are A, C and D.

Learn more about this concept here:

https://brainly.com/question/1619127

#SPJ2

Apply the distributive property to factor out 5x.

(5x · x2) + (5x · 3x) − (5x · 7) =

Answers

Answer:

5x^3+15x^2-35x

Step-by-step explanation:

Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!


One number is 10 less than three times a second number. If their sum is 46, find the larger of the two numbers.

Answers

Answer:

32

Step-by-step explanation:

Number 1 =x

Number 2 =(3x-10)

number 1 + number 2 =46

x+(3x-10)=46

4x=56

x=14

Number 1 =x=14

Number 2=3x-10

                 3(14)-10

                   32

Number 1 (14)+Number 2 (32)=46

PLEASE HELP ME ILL MARK YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

speed = [tex]\frac{distance }{time}[/tex]

Then

speed = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{4}{5}[/tex]Leave the first fraction, change division to multiplication, turn the second fraction upside down.

speed = [tex]\frac{2}{9}[/tex] × [tex]\frac{5}{4}[/tex] = [tex]\frac{5(2)}{9(4)}[/tex] = [tex]\frac{10}{36}[/tex] = [tex]\frac{5}{18}[/tex] mile per hour → B

The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).

Find the equation of the perpendicular bisector of the side QR

Answers

Answer:

Step-by-step explanation:

Find the slope of QR. From that we can find the the slope of the line perpendicular to QR.

Q(-2, -5)   & R(8,1)

[tex]Slope \ = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{1-[-5]}{8-[-2]}\\\\=\frac{1+5}{8+2}\\\\=\frac{6}{10}\\\\=\frac{-3}{5}[/tex]

So, the slope of the line perpendicular to QR =  -1/m - 1÷ [tex]\frac{-5}{3} = -1*\frac{-3}{5}=\frac{3}{5}[/tex]

Bisector of QR divides the line QR to two half. We have find the midpoint of QR.

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

               [tex]=(\frac{-2+8}{2},\frac{-5+1}{2})\\\\=(\frac{6}{2},\frac{-4}{2})\\\\=(3,-2)[/tex]

slope = 3/5  and the required line passes through (3 , -2)

y - y1 = m(x-x1)

[tex]y - [-2] = \frac{3}{5}(x - 3)\\\\y + 2 = \frac{3}{5}x-\frac{3}{5}*3\\\\y=\frac{3}{5}x-\frac{9}{5}-2\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{2*5}{1*5}\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{10}{5}\\\\y=\frac{3}{5}x-\frac{19}{5}[/tex]

PLS HELP (algebra 1)

solve -19d + 8(7d - 14)

Answers

Answer:

[tex]\huge\boxed{-19d + 8(7d - 14)=37d-112}[/tex]

Step-by-step explanation:

[tex]-19d + 8(7d - 14)[/tex]

use the distributive property: a(b + c) = ab + ac

[tex]-19d + (8)(7d)+(8)(- 14)=-19d+56d-112[/tex]

combine like terms

[tex]=(-19d+56d)-112=37d-112[/tex]

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