Based on the information marked in the diagram, AABC and ADEF must be congruent.

True or false

Based On The Information Marked In The Diagram, AABC And ADEF Must Be Congruent. True Or False

Answers

Answer 1

We conclude that the triangles are congruent, so the statement is true.

Are the two triangles congruent?

We can see two right triangles ABC and DEF.

In the diagram, we can see that BA = CE, and BC = EF.

And because both are right triangles, we can conclude that FD is equal to AC.

So the 3 sides are equal in both triangles, then we can conclude that the triangles are congruent.

If you want to learn more about congruent figures:

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Related Questions

5(x-2)-3= 5x-13
help me plz​

Answers

X has infinity solutions.

Perform the operation. (-4x^2-2x-6)-(-7x^2-2x-2)

Answers

Answer:

3x²-4

Step-by-step explanation:

1 distribute

(-4x²-2x-6)+7x²+2x+2

2 eliminate redudant parentheses

-4x² -2x - 6+7x² +2x+2

3 Add the numbers

-4x²-2x-4+7x²+2x

4 Combine like terms

3x²-2x-4+2x

5 Combine like terms

3x²-4

Answer:

[tex]3x^{2} -4[/tex]

Step-by-step explanation:

Before solving this you have to know that,

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( + )

( - ) × ( + ) = ( - )

Let us solve now.

[tex](-4x^2-2x-6)-(-7x^2-2x-2)[/tex]

[tex](-4x^2-2x-6)+7x^{2} +2x+2[/tex]

[tex]-4x^2-2x-6+7x^{2} +2x+2[/tex]

Now combine like terms

[tex]-4x^{2}+7x^{2} -2x+2x-6+2[/tex]

[tex]3x^{2} -4[/tex]

Hope this helps you .

Let me know if you have any other questions :-)

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY. A wire is needed to support a vertical pole 8 feet tall. The cable will be anchored to a stake 6 feet from the base of the pole. How much cable is needed?

Answers

Answer: The answer is 10 feet of cable.

solve for x and explain the steps:
3x-6=4(2-3x)-8x

Answers

Answer: x = 14/23

Step-by-step explanation:

3x-6=4(2-3x)-8x

3x-6=8-12x-8x --> Expand 4(2-3x)

3x-6=8-20x --> Collect like terms

3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side

3x=-20x+14

3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side

23x=14

[tex]\frac{23x}{23}=\frac{14}{23}[/tex] --> Divide both sides by 23

x = 14/23

I need help on this question

Answers

x = -7

hope this helps!

What is -7w-4-5w+13 simplified?

Answers

-12W+9
It’s right I am an algebra 1 teacher

Jeremy got a haircut and paid 15% as a tip. What percent of the cost did Jeremy pay the barber, including the tip?

Answers

The percentage of the cost that Jeremy will pay including the tip paid is 115% of the cost.

Assuming the cost was $100 and Jeremy gave a 15% tip. The total he would pay is:

= 100 + tip

= 100 + (100 x 15%)

= $115

In percentage this is:

= 115/100 x 100%

= 115%

In conclusion, Jeremy would pay 115% of the tip.

Find out more at https://brainly.com/question/22444616.

Find the slope of the line that passes through the points given in the first column and match them with the appropriate result. (10,7) and (1,2)\left(10,7\right)\ and\ \left(1,2\right)(10,7) and (1,2)

Answers

Answer:

                                         

Step-by-step explanation:

1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].

2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].

3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].

4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = [tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

From the given table, we have

1) The coordinate points are (10, 7) and (1, 2)

Here, slope [tex]=\frac{(2-7)}{(1-10)}[/tex]

[tex]=\frac{5}{9}[/tex]

2) The coordinate points are (9, 9) and (1, 16)

Here, slope [tex]=\frac{(16-9)}{(1-9)}[/tex]

[tex]=-\frac{7}{8}[/tex]

3) The coordinate points are (9, 3) and (2, 1)

Here, slope [tex]=\frac{(1-3)}{(2-9)}[/tex]

[tex]=\frac{2}{7}[/tex]

4) The coordinate points are (8, 8) and (1, 2)

Here, slope [tex]=\frac{(2-8)}{(1-8)}[/tex]

[tex]=\frac{6}{7}[/tex]

Therefore,

1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].

2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].

3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].

4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].

To learn more about the slope of a line visit:

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= 3 and 1/2 × 3 and 1/2

Answers

Step-by-step explanation:

please mark me as brainlest

Lester has 2 toy cars. Ivan has t times as many toy cars as Lester. Write an expression that shows how many toy cars Ivan has

Answers

Answer:

I=2t

Step-by-step explanation:

ivan has 2 times t

ANSWER PLZZ NO LINKS PORFA

How many miles longer is Trail A than Trail B?

Answers

It is longer by 67 miles you just minus them

Help me with this pleassssseeeedeeeeeeee..

Answers

We’re told that QR and RS are equal, so this is an isosceles triangle.

Meaning the two base angles must also be equal

Using this information, we know that the third angle must be 180 - (22 + 22), since the angles in a triangle add up to 180

round 0.006772 to 1 significant figure

Answers

Answer:

0.007

Step-by-step explanation:

0's before other numbers are non-significant. Then you just round your number.

Hope that helps

Can someone help me with these 2 problems I’ve been stuck on them for a very long time :’) tysm!!

Answers

Answer:

Christmas How many pouds this proportion to solve

#3: Classify the number below. Select all that apply.

-8

A. Real Number
B. Irrational
C. Rational
D. Integer
E. Whole
F. Natural

Answers

The answer would be C and D

what is 2/3 x 9/8 as a fraction in simplest form

Answers

Answer: [tex]\frac{3}{4}[/tex]

Have attached the picture for explanation...

The product of the fraction in the simplest form is 3/4

What is a fraction?

A fraction is a figure that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

What is the product of the fraction?

2/3 x 9/8 = 18/24 = 3/4

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

Please help will mark brainliest 12 x 12 - 44

Answers

Answer:

(12 x 12) - 44 = 100

Step-by-step explanation:

Simplify (y²z⁴)³ and explain answer

Answers

Answer:

y^6 z^12

Step-by-step explanation:

When the bases are the same that means that the powers on the inside can be multiplied by whatever is outside.

Hope this helps :)

benny uses 2/5 grams (G) of toothpaste each time he brushes his teeth. If benny buys 30-g tube, how many times will be able to brush his teeth?

Answers

Answer:

75

Step-by-step explanation:

First divide 2/5 to get 0.4. Then divide 30 by 0.4 to get the answer. A simple way to think about it is how many 0.4 grams are in 30 gram tube.

Solve for x the equation 6cos^2 x+4sin^2 x=5.Forex 2 question 6 cos square x + 4 sin square x is equal to 5 ​

Answers

Step-by-step explanation:

[tex]6 \cos {}^{2} (x) + 4 \sin {}^{2} (x) = 5[/tex]

[tex]6(1 - sin {}^{2} x) + 4 \sin {}^{2} (x) = 5[/tex]

[tex]6 - 6 \sin {}^{2} (x) + 4 \sin {}^{2} (x) = 5[/tex]

[tex]6 - 2 \sin { }^{2} (x) = 5[/tex]

[tex] - 2 \sin {}^{2} (x) = - 1[/tex]

[tex] \sin {}^{2} (x) = \frac{1}{2} [/tex]

[tex] \sin(x) = \frac{1}{ \sqrt{2} } [/tex]

Take the arc Sine of the function

[tex]arcsin( \frac{1}{ \sqrt{2} } ) = \frac{\pi}{4} [/tex]

Finally, Sine is a periodic function so it has two answers within the interval (0, 2 pi)

Use the identity

[tex] \sin(x) = \sin(x + \pi) [/tex]

We know that

[tex] \sin( \frac{\pi}{4} ) = \frac{1}{ \sqrt{2} } [/tex]

so using the identity

[tex] \sin( \frac{\pi}{4} + \pi ) = \sin( \frac{5\pi}{4} ) [/tex]

So we have two answers.

[tex]( \frac{\pi}{4} )[/tex]

[tex]( \frac{5\pi}{4} )[/tex]

WHAT DOES AN ANIMAL BREEDER DO?????????

I LITERALLY NEED HELP ON THIS ONE!!

Some school commercial thingy.

Answers

Answer:

Breeders cross animals of the same species with desirable traits to create desirable offspring.

Step-by-step explanation:

What is the slope of this graph?
0.3
-3
los
1
3
3
1
2 3 4 5

Answers

Answer:

A

Step-by-step explanation:

Use the formula rise/run. The rise, in this case, was 3 and the run was 1. There for it would be 3/1 which is simplified to 3.

Pls help! Will mark Branliest!! 50 points for whoever answers!!!!!!

Answers

Answer: See below

Step-by-step explanation:

Isolate x for x-2y+2z=9

3x=9+2y

[tex]x=\frac{9+2y}{3}[/tex]....(1)

Substitute (1) into the 2nd equation

[tex]\begin{bmatrix}-\frac{9+2y}{3}+3y=-4\\ 2\cdot \frac{9+2y}{3}-5y+3z=16\end{bmatrix}[/tex]

[tex]\frac{3\left(-9+7y\right)}{3}=3\left(-4\right)[/tex]

7y=-3

y=-3/7

Substitute y=-3/7

[tex]\begin{bmatrix}3z+\frac{18-11\left(-\frac{3}{7}\right)}{3}=16\end{bmatrix}[/tex]

[tex]\begin{bmatrix}3z+\frac{53}{7}=16\end{bmatrix}[/tex]

Isolate z by substituting it

[tex]3z+\frac{53}{7}=16[/tex]

[tex]\frac{3z}{3}=\frac{\frac{59}{7}}{3}[/tex]

[tex]z=\frac{59}{21}[/tex]

For x =9+2y/3 substitute z=59/21 and y=-3/7

[tex]x=\frac{9+2\left(-\frac{3}{7}\right)}{3}[/tex]

[tex]x=\frac{19}{7}[/tex]

[tex]x=\frac{19}{7},\:z=\frac{59}{21},\:y=-\frac{3}{7}[/tex]

Answer:

(1, - 1, 3 )

Step-by-step explanation:

x - 2y + 2z = 9 → (1)

- x + 3y = - 4 → (2)

2x - 5y + 3z = 16 → (3)

Add (1) and (2) term by term to eliminate x

y + 2z = 5 → (4)

Multiply (2) by 2

- 2x + 6y = - 8 → (5)

Add (3) and (5) term by term to eliminate x

y + 3z = 8 → (6)

Subtract (6) from (4) term by term to eliminate y

- z = - 3 ( multiply both sides by - 1 )

z = 3

Substitute z = 3 into (4)

y + 2(3) = 5

y + 6 = 5 ( subtract 6 from both sides )

y = - 1

Substitute y = - 1, z = 3 into (1) and solve for x

x - 2(- 1) + 2(3) = 9

x + 2 + 6 = 9

x + 8 = 9 ( subtract 8 from both sides )

x = 1

solution is (1, - 1, 3 )

Solve the following quadratic equation for all values of x in simplest form.
2(5x + 9)2 + 10 = 28

Answers

Step-by-step explanation:

x = 2/5 or x = 0 Hope that will help

Autumn wants to invest $1000. The table below shows the value of her investment under two different options for three different years:

Number of years 1 2 3
Option 1 (amount in dollars) 1100 1200 1300
Option 2 (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your reasoning. (4 points)

Part B: Autumn wants to invest in an option that would help to increase her investment value by the greatest amount in 7 years. Will there be any significant difference in the value of Autumn's investment after 7 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 7 years for each option if the equation for option 1 is f(x)=100x + 1000 and the equation for option 2 is g(d) = 1000(1.1)d

Answers

Answer:

See below

Step-by-step explanation:

Part A

According the table, the yearly amount increases by 100 dollars in option 1 and 1.1 times in option 2.

It means the function is linear in option 1 and exponential in option 2.

Part B

Calculate the amount of total value in each case substituting x or d by 7 and compare the amounts:

f(7) = 100*7 + 1000 = $1700g(7) = 1000*(1.1)^7 = $1948.72 (rounded)

As we see the option 2 is better choice and the difference is:

$1948.72 - $1700 = $248.72

PLS HELP MEE :((

Write an equation representing the area Felicia covered, y, in terms of the number of tiles she used, x.

y =

Answers

Answer:

Check the picture below

Step-by-step explanation:

Luis has $4.00 from his allowance. He visits an arcade where soda costs $0.75 and video games cost $0.25. Which of the following expressions represents the amount of money Luis will have left if he buys one soda and plays "g" video games? *
5 points
4.00 - 0.25 - 0.75g
4.00 + 0.75 + 0.25g
4.00 - 0.75 - 0.25g
4.00 - 0.25 + 0.75g

Answers

Answer: c

Step-by-step explanation:

Help plz im on a timer at school

Answers

Answer:

it is reduction so the answer is B.

Step-by-step explanation:

1) Find the probability of rolling a
number greater than 3 on a standard
number cube.

Answers

Answer:

50%

Step-by-step explanation:

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve this using unitary method ~

[tex] \sf3 \: seconds = 63 \: meters[/tex]

[tex] \sf1\: second= 63 \div 3 \: meters[/tex]

[tex] \sf1\: second= 21 \: meters[/tex]

[tex] \sf5\: seconds= 21 \times 5 \: meters[/tex]

[tex] \sf5\: seconds= 105 \: meters[/tex]

Therefore , the ostrich will run 105 meters in 5 seconds.

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