ANY FAKE/TROLL ANSWERS WILL BE REPORTED

On the graph, two right triangles have the line as the hypotenuse. In this task, you will use these triangles to show that the slope between points E and A is the same as the slope between points A and C.


A graph depicts two right triangles DEA and BAC which have the line as the hypotenuse.


Part A

Which angles of the triangles measure 90°


Part B

To show that the other two angle measurements in each triangle are equal, you can use parallel lines cut by a transversal. Which two pairs of line segments formed by triangle sides are parallel, and what is the transversal for each pair?


Part C

Which angle has the same measurement as angle DEA, and how do you know that the measurement is the same?


Part D

Which angle has the same measurement as angle DAE and why (vertical, corresponding, alternate interior, or alternate exterior angles)?


Part E

Are the two triangles congruent? Why or why not?


Part F

Are the two triangles similar? Why or why not?


Part G

Write a fraction setting the vertical length of the larger triangle over its horizontal length. What does this fraction represent?


Part H

Write a fraction setting the vertical length of the smaller triangle over its horizontal length. What does this fraction represent?


Part I

To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true? Why or why not? What does that mean about the slope between points E and A and the slope between the points A and C?












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Answer: This situation cannot be true for any positive value of x. The valid range would be 0 < x < 4. If the x is less than 4, the perimeter of triangle 1 is always greater than triangle 2.

Explanation: We need to add up the lengths of the sides for obtaining the perimeters first.

Triangle 1: 5x + 57

Triangle 2: 11x + 33

Then, we need to build up an inequality for the case which the perimeter of triangle 1 is always greater than triangle 2.

This means => 5x + 57 > 11x + 33

If we write "x" values on one side:

24 > 6x

Then dividing by 6 for both sides:

4 > x

This means that a positive value of x should be less than 4 for this particular situation.

Answer:

a=22

Step-by-step explanation:

a=a and b =1+1=2 so, 24-2=22

b=4a-6b because it can not be subtracted because 4 have a and 6 have b

c=same as b 4a+b-6

d=same as b and c a+4b-24

Answer:

39/110 or 0.355

Step-by-step explanation:

subtract

5/11 - 1/10 = 5x10/11x10 - 1x11/10x11 = 50/110 - 11/110

50/110 - 11/110 = 50-11/110 = 39/110

Answer: Her answer is wrong

Step-by-step explanation:

[tex]-7=\dfrac{1}{2} (z+12)[/tex]

Distribute:

[tex]-7=(\dfrac{1}{2} )(z)+(\dfrac{1}{2} )(12)[/tex]

[tex]\dfrac{1}{2} z+6=-7[/tex]

Subtract 6 from both sides:

[tex]\dfrac{1}{2} z+6-6=-7-6[/tex]

[tex]\dfrac{1}{2} z=-13[/tex]

Multiply both sides by 2:

[tex]2\times(\dfrac{1}{2} z)=2\times(-13)[/tex]

[tex]\fbox{z = -26}[/tex]

Answer:

-26

Step-by-step explanation:

1. distribute
1/2z+6=-7
-7-6=-13
1/2z=-13
-13 / 1/2 = -13 x 2/1 = -26
z = -26

double check:
1/2(-26+12)
1/2 (-14)
1/2 = -14 = -7 ✔️✔️

The percent of the increase in Kirk's average score is 12%

Let the total score be 100

We know,

Percent = [tex]\frac{part}{total}[/tex] × 100

Percentage of Kirk's score in last season:

[tex]\frac{75}{100\\}[/tex]×100 = 75%

Percentage of Kirk's score this season:

[tex]\frac{87}{100}[/tex]×100 = 87%

Difference in percentage = 87 - 75 = 12%

Thus there is a 12% increase in Kirk's average score.

Learn more about Percentage:

https://brainly.com/question/24877689

Answer:

The answer would B) 9 OUNCES

Step by step

The mountain climber eats 61.4 ounces of the trail mix in 7 days. We need to know how much he eats in just one day so we would dived.

[tex]61.4 \div 7 = 8.7714[/tex]

So now we know that each day he ate 8.7714 ounces of trail mix in a day. But when we look at the options this answer is not there so we have to round the number. When we're rounding we have to look at the second number if it is 5 and under then we round down but if it is 5 and up we round up. In our case the second number is 7 so we round up which would give us 9. Therefore the answer is B

Answer:

45

Step-by-step explanation:

6+30+48-1-9=45

Answer:

Step-by-step explanation:

2/5

Answer:

c:.45 degrees

Step-by-step explanation:

multiply 5 x 9

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{525})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{828}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{828}-\stackrel{y1}{525}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{1}}} \implies \cfrac{ \stackrel{\$}{303} }{ \underset{months}{3} } \implies \cfrac{\stackrel{\$}{101}}{\underset{months}{1}}\implies 101~\frac{\$}{month}[/tex]

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \left( \sqrt{z} ~~ \sqrt{y} ~~ \sqrt{x} \right)^8\implies \left(\sqrt{zyx} \right)^8\implies \left(\sqrt[2]{(zyx)^1} \right)^8 \\\\\\ \left( (zyx)^{\frac{1}{2}} \right)^8\implies (zyx)^{\frac{1}{2}\cdot 8}\implies (zyx)^4\implies z^4 y^4 x^4[/tex]

Answer:

[tex]z^{4}[/tex][tex]y^{4}[/tex][tex]x^{4}[/tex]

Step-by-step explanation:

Another way to write the expression is

([tex]z^{1/2}[/tex][tex]y^{1/2}[/tex][tex]x^{1/2}[/tex]) ^8

the power to power principle tells us that when we raise a power to a power, we multiply the exponents

[tex]\frac{1}{2}[/tex] x[tex]\frac{8}{1}[/tex] = [tex]\frac{8}{2}[/tex] = 4

[tex]z^{4}[/tex][tex]y^{4}[/tex][tex]x^{4}[/tex]

Answer: He is mopping at a rate of 15 minutes per classroom or a ratio of 1 classroom/15 minutes

Step-by-step explanation: If he takes 5 minutes to mop 1/3 of a classroom, then to mop 1 whole classroom, he will take 5 x 3=15 minutes because 1/3 x 3 is 1 and 5 x 3 is 15.

Answer:

Step-by-step explanation:

you have to do the multiplication so then it is 20.  

Answer:

18-3

It should be 18-3 since that's the only way to write it as an expression. If you want to add a variable, the answer would be something like x=18-3 or x+3=18, which is not an expression..

Step-by-step explanation:

It asks for an expression for 3 fewer than 18. Since it is an expression, you should not include any equal signs, thus the only possible answer would be 18-3.

Answer:

18-3

Step-by-step explanation:

The required expression is 18-3 (The given phrase is '3 fewer than 18')

We need to find the algebraic expressions for the given phrase.

Algebraic expressions:

The algebraic expressions for the phrase "a fewer than b" is:

b - a

Similarly, the algebraic expressions for the phrase "3 fewer than 18" is:

18 - 3 (18 being b and 3 being a)

This means that our expression is 18 - 3 because that's the only way this is possible. You can add other things (like complicate it/ turn it into a 'find a' algebra question or a linear equation, I gave an example below- not the best i know but its like 1 am and I can't lol) like:

Find x: 18 - x = 16

x = 16

Answer:39

Step-by-step explanation:

Answer:

39 sq cm

Step-by-step explanation:

you need to find out the area of the entire rectangle, which is 9x5, or 45

now subtract out from 45 the area of the triangle

the triangle is a right triangle and we can use the pythagorean theorem to find the base is 5

we can calculate the height as 12/5

since area (triangle) is 1/2(base)(height) we get:

1/2(5)([tex]\frac{12}{5}[/tex]) which gives us 6

so area of shaded region is 45-6, or 39

Answer:710

Step-by-step explanation:

Answer:

[tex]85 \ \frac{5}{28} [/tex]

Step-by-step explanation:

6 3/7 x 13 1/4

Turn them into a an improper fraction:

6 3/7 = 45/7

13 1/4 = 53/4

Multiply:

45/7 x 53/4

45 x 53 = 2385

7 x 4 = 28

2835/28

Concert into a mixed fraction:

85 5/28

13 ......................

Answer:

Step-by-step explanation:

A

Answer:

5/6

Step-by-step explanation:

In fractions, you can convert 1/2 and 1/3's denominators into a common number.
First, multiply 2 by 3 and 3 by 2. The denominator will be 6
Then, multiply the top by the same number (the numerator)
1/2*3/3 = 3/6.
1/3*2/2=2/6
3/6+2/6=5/6

Answer: 1.5, 1 1/2

Step-by-step explanation:

1/2 / 1/3
reciprocal of 1/3 is 3/1
1/2 x 3/1 = 3/2 = 1 1/2

Answer:

The nine ounce box is the better deal.

Step-by-step explanation:

Kyle will save 2 cents/oz.

Answer: 9oz pack is better. C.

Step-by-step explanation:

9 ounces=$2.52

3 ounces=$0.84

1 ounce=$0.28

12 ounces=$3.60

3 ounces=$1.20

1 ounces=$0.30

0.30-0.28=0.02

3 ounces cost more for the 12oz pack than the 9oz pack.

Answer:

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

The heights and shadows are proportional since they form similar triangles.

Set equal proportions and solve for the missing length:

Answer:

112 meters

Step-by-step explanation:

3.2/1.14 = x/39.75

3.2/1.14 = 2.81

2.81 * 39.75 = 111.57 = 112

Answer:

3 3/4

Step-by-step explanation:

This question simply means that we have to divide. This will be:

1 1/2 ÷ 2/5

= 3/2 ÷ 2/5

= 3/2 × 5/2

= 15 / 4

= 3 3/4

Answer:

3 3/4

Step-by-step explanation:

2/5 = .4

1 1/2 = 1.5

1.5/.4 = .4 + .4 + .4 + .3

.3 = 3/4 .4

3 3/4