ABC is congruent to EDC, BC = 5 units and DE = 12 units. What is the length of AE?

ABC Is Congruent To EDC, BC = 5 Units And DE = 12 Units. What Is The Length Of AE?

Answers

Answer 1

Answer:

AE = 26 units

Step-by-step explanation:

Given that ABC is congruent to EDC, therefore, the corresponding angles and corresponding lengths of ∆ABC and ∆EDC are equal to each other in measure.

AE = 2(AC) = 2(CE) or

AE = AC + CE

Let's find the AC using Pythagorean Theorem, since the ∆s are both right triangles.

BA is congruent to DE.

Since DE = 12 units, therefore, BA = 12 units.

BC = 5 units (given)

Using Pythagorean Theorem:

AC² = BA² + BC²

AC² = 12² + 5² (substitution)

AC² = 144 + 25 = 169

AC = √169

AC = 13 units

Since ∆ABC = ∆EDC, therefore:

AE = 2(AC)

AE = 2(13)

AE = 26 units


Related Questions

Which of the following are right triangle congruence theorems

Answers

Answer:

All of them

Step-by-step explanation:

Mary ran 2 miles in 23 minutes how long will it take her to run 15 miles

Answers

The answer is 5.75 hourse

Im not exactly sure what to do, could someone help me out?

Answers

Answer:

AB = 18 in.

BC = 22 in.

ED = 33 in.

Angle B = not possible

Angle C: not possible

Angle D = 39°

Angle E: not possible

Angle F: not possible

Step-by-step explanation:

Because it is given that ΔABC≅ΔDFE, we can find the corresponding sides and angles and then find all possible missing side and angle measures from the given diagram.

AB corresponds to DF (ΔABC ≅ ΔDFE)

Because DF = 18, then AB must equal 18.

BC corresponds to FE (ΔABC≅ΔDFE)

Because FE = 22, then BC must equal 22.

ED corresponds to CA (ΔABC≅ΔDFE)

Because CA = 33, then ED must equal 33.

Angle D corresponds to angle A (ΔABC≅ΔDFE)

Because angle A = 39°, then angle D must equal 39°.

All other angles cannot be found since they are not given on the corresponding angles of the triangles in the diagram.

I hope this helps you :)

Please HELP D: what are the Angels of A,B,C,D

Answers

A is 115 - because you minus 65 from 180 since it is a straight line and equals 180

Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?

Answers

4x+3y=85.5
3x+5y=115
Combine it
X=7.5 y=18.5

I need help!!! Find m<2.

Answers

Answer:

Step-by-step explanation:

m∠2 = 180° - 113° = 67°

Ally ran 5 miles in 36 minutes. If Ally runs at the same rate, how long would it take her to run 1 mile?

Answers

Answer:

7.2 Minutes

Step-by-step explanation:

Use Ratios

Miles : Minutes

5:36

Divide Both Sides By 5

1:7.2

It will Take Ally 7.2 Minutes To Run 1 Mile

It would take ally 7.2 to run 1 mile

HELPPP!!!

help me for a brainliest!

Answers

=5^6/5^4

=5^(6-4)

=5^2 ANSWER..

Samantha had a mask collection. She keeps 372 of the masks on her wall, which is 93% of her entire collection. What is the total number of masks in Samantha's collection?

Answers

Answer:

im struggling as well

Step-by-step explanation:

The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?

Answers

Answer:

6560lbs

Step-by-step explanation:

Solve the system by elimination
-6x + 6y = 0
9x - 8y = 4

Answers

Answer:

Point form: (4, 4)

x = 4, y = 4

The graph shows the distance Henry drives on a trip. What is Henry's speed?


A. 60 miles per hour
OB. 30 miles per hour
O C. 40 miles per hour
OD. 70 miles per hour

Answers

Answer:

60

Step-by-step explanation:

every 1 hour, he is going 60 miles

The answer is 60 miles per hour

expand this question
(a+3)(a+5)

Answers

Answer:

Work shown below!

Step-by-step explanation:

(a + 3)(a + 5) = [tex]a^{2} +5a+3a+15=a^{2}+8a+15[/tex]

(a+3)(a+5)
a(a+5)+3(a+5)
a^2+5a+3a+15
a^2+8a+15

Consider quadrilateral EFGH.

The slope of EF is .


Which statements are true? Check all that apply.

EH is parallel to FG.
EF is perpendicular to EH.
HG is neither parallel nor perpendicular to FG.
Quadrilateral EFGH is a rectangle because it is a parallelogram with four right angles.
Quadrilateral EFGH is a trapezoid because it has exactly one pair of parallel opposite sides.

Answers

(B) EF is perpendicular to EH.

Quadrilateral:A quadrilateral in geometry is a four-sided polygon with four sides and four corners (vertices). The Latin words Quadri, a variation of four, and latus, meaning "side," are the source of the name. In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon). Since "gon" is an anagram for "angle," it is also known as a quadrangle or 4-angle. Display style "square ABCD" is sometimes used to indicate a quadrilateral with the vertices A, B, C, and D.

Therefore, the correct option is (B) EF is perpendicular to EH.

Know more about quadrilaterals here:

https://brainly.com/question/16691874

#SPJ2

Answer:

B and C

Step-by-step explanation:

solve for z: -4 - (z - 6) = 12

Answers

Answer:

z = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-4 - (z - 6) = 12

Step 2: Solve for z

Distribute negative:                              -4 - z + 6 = 12Combine like terms:                             -z + 2 = 12Subtract 2 on both sides:                    -z = 10Divide -1 on both sides:                        z = -10

Step 3: Check

Plug in z to verify it's a solution.

Substitute:                    -4 - (-10 - 6) = 12Subtract:                       -4 - (-16) = 12Simplify:                        -4 + 16 = 12Add:                               12 = 12

Here we see that 12 does indeed equal 12.

∴ z = -10 is a solution of the equation.

Answer:

z = -10

Step-by-step explanation:

-4 -(z+6)=12

2-z=12

-z =12-2

ans= z = -10

83x - 6) = 6(4x + 8)​

Answers

Answer:

[tex]x = \frac{54}{59}[/tex]

Step-by-step explanation:

I'm assuming you meant (83x - 6). Either way, the parentheses aren't needed there as there aren't any numbers outside of the parentheses on that side of the equation.

So:

Remember PEMDAS

P – Parentheses

E – Exponents

M – Multiplication /D – Division  (whichever comes first from left to right)

A – Addition /S – Subtraction (whichever comes first from left to right)

Nothing needs to be distributed on the left side, so let's distribute the right side.

6(4x + 8)

6 * 4x = 24x

6 * 8 = 48

Now we have 24x + 48

83x - 6 = 24x + 48

Now, we must isolate the x so that in the end, we can get x =

83x - 6 = 24x + 48

+ 6                    +6

83x = 24x + 54

-24x           -24x

59x = 54

Now, we have isolated the x! Finally, we want x to = 1 so that it will be x = instead of 59x =.

[tex]\frac{59x}{59} = \frac{54}{59}[/tex]

Because 54/59 does not divide into a rational number or simplify any further, we can keep it as a fraction.

[tex]x = \frac{54}{59}[/tex]

~ [tex]InLoveWithPugs[/tex]

Moderator

Math Enthusiast

Consider the equations shown: ax + by = ab & 2ax + 3by = 3b

Which of these is the value of y in terms of a?

Option 1 : y = 3a – 35

Option 2 : y = 2ab – 3b

Option 3 : y = 9a – 35

Option 4: y = 3 – 2a

Answers

Answer: [tex]y=3-2a[/tex], Option 4

Step-by-step explanation:

[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]

multiply 2 at [tex]ax+by=ab[/tex]

[tex]2ax+2by=2ab[/tex]

subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]

[tex]by=3b-2ab[/tex]

[tex]y=3-2a[/tex]

I really need help on this question please it’s solve for x.round to the nearest hundredth if necessary.

Answers

Answer:

39.19

Step-by-step explanation:

sin(29°)=(19/x)

x= 19/sin(29°)

/= over

i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse

Plzz help its only 1 question!!!

Answers

Answer:

D is correct

rost beef sandwich=7$

turkey sandwich=5$

Step-by-step explanation:

How many solutions does 6x= 1 = 2x + 5 + 4x + 6 have?
A. No Solutions
B. Two solutions
C. Infinitely many solutions
D. One Solutions​

Answers

Answer:

C. Infinitely many solutions

Step-by-step explanation:

Answer:

INFINITE SOLUTIONS

Step-by-step :(examples)

any value of x makes the equation true

true for all= infinite solutions

one solution= x=30

no solution= 7=0

BD bisects m m Find m

Answers

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

[tex]m\angle ABC = 77.2^\circ[/tex]

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

[tex]m\angle ABD=m\angle CBD[/tex]

Substituting the algebraic expressions for both angles:

[tex]2.5x + 8.6=3.5x - 3.4[/tex]

Subtracting 8.6 and 3.5x:

[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]

Operating:

[tex]-x = -12[/tex]

[tex]x = 12[/tex]

The two angles are:

[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]

[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]

[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]

1/3 (x-10)=-4 what does x represent

Answers

Answer:

-2

Step-by-step explanation:

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Step 1: Multiply both sides of the equation by 3.

Step 2: Simplify both sides of the equation.

Step 3: Move all terms not containing x to the right side of the equation.

Darnell is underwater 20 feet below sea level. His friend is on a hill 32 feet above sea level. How far apart are the two friends?

Answers

Answer:

52 feet apart

Step-by-step explanation:

20 + 32 = 52

Answer:

52 feet

Step-by-step explanation:

20 + 32 = 52

A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.

9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data set? Round to the nearest hundredths.

0.40
0.72
1.15
2.14

Answers

Answer: 1.15

Step-by-step explanation:

Answer:

1.15 is the answer

Step-by-step explanation:

Please help! what does the quotient of x and three increased by thirty-four look like as a problem? and why?

will name the brainliest!!

Answers

Answer:

x/3 + 34

Step-by-step explanation:

The quotient of x and 3 would be written as x/3.

(I am guessing that increased means add, because multiplied would say times, by, or multiplied.)

The density of a certain material is such that it weighs 8 pounds for every 8.5 cups of
volume. Express this density in ounces per fluid ounce. Round your answer to the
nearest hundredth.

Answers

You will have to go step by step

Answer:

1.88

Step-by-step explanation:

Shawn is typing a paper for class he can type 1 7/11 pages in 1/3 of an hour how many pages can he read in one hour

Answers

Answer:

Step-by-step explanation:

1/3 of an hour is 1/3 × 60 minutes = 20 minutes.

no of pages for 1 hour = 3 × 18/11

54

----    =     4    9

                    ------

11                     11

hope this help :P

PLZ HELP FIFTY POINTS FOR WHOEVER HELPS I NEED THIS ASAP

Answers

Answer:

x = 18

y = 54

Step-by-step explanation:

A straight line equals 180 degrees.

Since Lines CD and AB are straight, we can deduce that the angle 3x = 2x + angle AN.

Because there is a right angle, we can subtract 90 -72 = 18.

18 + 2x = 3x

18 = x

A straight line equals 180 degrees. Once we figure out that x = 18, we can figure out y by plugging in x and then subtracting your answer from 180 degrees.

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day!

Determine the area of the figure, in square meters. HELP ME PLAES BRIANEST ASAP PLEASE HAVE A EXPLIATION

Answers

Answer:

100 sq m

Step-by-step explanation:

if you fill in the shape to be a big rectangle it will be 8 x 22 =176 sq m

then the little piece on the left that is taken out is 2 x 2 = 4 sq m

the piece on the right is 6 x 12 = 72 sq m

so subtract them from the big rectangle

176 - 4 - 72 = 100 sq m

Answer:

100m^2

Step-by-step explanation:

To do this we need to break the shape into sections as illustrated in the picture I attached, I color coded the squares to make it easier to explain. Now we just find the area of each shape and add them all together.

Area= base•height

So for the purple shape:

6•2=12

Orange:

8•8=64

Green:

2•12=24

In total:

12+64+24=100

And since it's area it would be in square units which just means it'd look like this:

[tex] {100m}^{2} [/tex]

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!


[tex] {2}^{m} = n [/tex]
solve
[tex] {8}^{m} - {4}^{ - m} [/tex]

Answers

Answer:

[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]

[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]

We are given the expression:

[tex]2^m=n[/tex]

We need to express the following expression in terms of n.

[tex]8^m-4^{-m}[/tex]

It's necessary to modify the expression to use the given equivalence.

Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:

[tex](2^3)^m-(2^2)^{-m}[/tex]

Applying the property:

[tex](2^m)^3-(2^m)^{-2}[/tex]

Substituting the given expression:

[tex]n^3-n^{-2}[/tex]

Or, equivalently:

[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]

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