if triangle ABC and DEF are congruent, what is the measure of angle E?

If Triangle ABC And DEF Are Congruent, What Is The Measure Of Angle E?

Answers

Answer 1

Answer: 83

Step-by-step explanation: Because the triangles are congruent, angle A is congruent to angle D, angle C is congruent to angle F, and angle E is congruent to angle B (CPCTC). Now because angle A and D are congruent they are both equal to 50. Using sum of angles in a triangle, you can find that measure of angle E is equal to 180- (47+50). That is 180-97=83.

Answer 2

Answer:

∠ E = 83°

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent.

Thus ∠ C = ∠ F = 47° and

∠ B = 180° - (50 + 47)° ← angle sum of Δ

∠ B = 180° - 97° = 83°

∠ B and ∠ E are corresponding angles, thus

∠ E = ∠ B = 83°


Related Questions

Please HELP!! It’s due today

Answers

Answer:

For C all she has to do is look at the chart-

0=0

1=4

2=8

3=12

4=16

Please tell me the right answer.

Answers

Answer:

b

Step-by-step explanation:

B. Is the correct Answer

Which of the following can be used to find the measure of angle C, angle D, and ankle E?

A-Pythagorean Theorem

B-Triangle Sum Theorem

C-Isosceles Triangle Theorem

D-AAA Postulate Theorem

Answers

The correct answer is B

870.497 ÷ 0.823=?
round your answer to the nearest whole number

Answers

Answer:

870.497 ÷ 0.823=1.057 so to the nearest whole number it would be 1

Step-by-step explanation:

cause 0-4 numbers are rounded down

The answer is:

1057.712 which is the closest number would be 1058


Explanation:
1. You have to convert the decimal into a fraction by dividing it by 1000

2. To divide be a fraction, multiply by the reciprocal of that fraction. You going to flip the the second term which it’ll be 1000/823

3. Then you going to cross the 1000 because it’s the greatest common factor. It’s gonna be (870497x 1/823)

4. Lastly, you going to calculate that equation and it’s gonna be ( 870497/823)



Hope I could explain good. I’m a bad explainer


D =
R=
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.

Answers

Answer:

This is a function. Range is y is an element of all real numbers, or {yer} and domain is x is greater than or equal to -4, xer {x>=-4|xer}

Step-by-step explanation:

se Home
ework
The following line graph shows the attendance at an annual event from 1998
through 2004. Estimate the attendance at the annual event in 2002,
The approximate paid attendance in 2002 was.
Attendance at an Annual Event
100,000
zes & Tests
Q
80,000
dy Plan
60.000
Paid Attendance
debook
40,000
20.000
apter Contents
0-
1998
ols for Success
2000
2002
Year
2004
ultimedia Librai
earson Tutor
ervices

Answers

It’s 20000 but not sure about it

Mario tracks his heart rate after throwing warm-up pitches before a game. In 1/4 minutes, Mario's heart beats 28 times

Answers

Answer:112

Step-by-step explanation: 1/4 divided by 28/1 = 1/112

Answer:

112 and very light

Step-by-step explanation:

A question on a history test asks you to match 10 dates with 10 events. In how many ways could you possible answer this question?
There are (BLANK) ways to answer the question.

**Make sure to enter numbers without commas & round any decimals to the nearest hundredth**

Answers

Answer:

110

Step-by-step explanation:

Each date has 11 choices (10 events, 1 blank) so multiply by 10 to get 110.

What is the equation of this graphed line?
Enter your answer in slope-intercept form.


Please answer quickly, I will give brainliest to whoever answers correctly, thank you.

Answers

Answer:

y = -9/8x + 7

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

Points given:

(0, 7) and (8, -2)

y-intercept is

b = 7 as per the first point

And the slope is:

m = (-2 - 7)/(8 - 0) = -9/8

So the line is:

y = -9/8x + 7

Answer:

Required Answer:-

points are

(0,7)(8,-2)

slope =m

[tex]{:}\longrightarrow[/tex][tex]\sf m={\dfrac {y_2-y_1}{x_2-x_1}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrax {-2-7}{8-0}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {-9}{8}}[/tex]

y intercept:-

7

Hence the equation is

[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {-9}{8}}+7 [/tex]

524
You ride your bike x miles per hour up a mountain for 45 minutes. On the way down the mountain, you ride your bike 3 miles per hour faster. It
takes 20 minutes to ride your bike down the mountain. How far did you ride your bike in total?

Answers

Answer:

543

Step-by-step explanation ITS 524

Please Help!!!!!!!!!!!!!!!!!

Carlo is building a wooden box that is shaped like a cube. He wants the box to have a volume of 64 cubic inches. How many square inches of wood does Carlo need to build the box?

Answers

Answer:

Area of wood required = 96 in²

Step-by-step explanation:

Since volume of a cube = Length × Width × Height

64 = (Side)³

Side = 4 inch

Area of the wood required to build a wooden box = Surface area of all 6 sides of the cube

= 6(Area of one side of the box)

= 6(Side)²

= 6(4)²

= 96 inch²

Therefore, 96 square inches of wood will be required to build the wooden box.

Answer:

Step-by-step explanation:

1. The length of one edge of the box is 4 inches due to the 64 cubic inches being 4 x 4 x 4 with all sides being equal.

2. The area of a face of the box is height x width, therefore 4 x 4 = 16 inches squared .

3. The total area of all faces is the answer from part 2 x all faces of a box, which is 6; therefore 6 x 16 = 96 inches squared.

4. Carlos needs 96 square inches of wood to build his box.

Divide. Write your answer as a fraction or mixed number in simplest form.

10 • 3 3/4

Answers

Answer:

37 1/2

Step-by-step explanation:

before you multiply you fractions you would have to change the mixed number into a improper fraction and then multiply your fractions together. once that is dont you would multiply they numerator straight across and multiply the denominator straight across. once that is done your answer should come out as 150/4 but that is a improper fraction and you have to change it into a mixed number which would be 37 2/4 but that can be simplified by 2 and once you simplify it your final answer would come out to be 37 1/2.

The required solution to the given expression is 37 1/2 in mixed number form.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To determine the evaluation of expression 10 ÷ 3 3/4

When considering multiplying your fractions together, you would need to convert the mixed number into an improper fraction. After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 150/4 after that, but since it is an improper fraction, you must convert it to a mixed number, which is 37 2/4. However, if you simplify it by 2, your final answer will be 37 1/2.

Thus, the required solution to the given expression is 37 1/2 in mixed number form.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

............ help lost of points available

Answers

Answer:

c

Step-by-step explanation:

Finding the Equation of a Line from a Graph and a Table

plz help me

Answers

Answer:

slope (m)= 1/2

y-intercept: (0, -1)

equation: y=[tex]\frac{1}{2}[/tex]x-1

Step-by-step explanation:

slope is [tex]\frac{rise}{run\\}[/tex]=[tex]\frac{1}{2}[/tex]

y-intercept is where the line crosses the vertical axis (y-axis) so its (0, -1)

using point slope form:

y-y1=m(x-x1)

y-(-1)=1/2(x-0)

y+1=1/2x

y=[tex]\frac{1}{2}[/tex]x-1

what is the equation of the line in slope intercept form

Answers

Answer:

y=-5x

Step-by-step explanation:

The slope of the lawn and passing through the points (1,3) and (5,13)

Answers

(13-3)/(5-1)=10/4=5/2

Is f(x)=3x5^2x-3 an exponential function? If so, write it in the form f(x)=ab^x

Answers

Answer:

[tex]f(x)=\frac{3}{125} * 25^x[/tex]

Step-by-step explanation:

Given

[tex]f(x)=3*5^{2x-3}[/tex]

Required

To determine if it is an exponential function, we have to write in form of

[tex]f(x) = ab^x[/tex]

If we're able to do so, then the function is an exponential function.

If otherwise, then it is not

[tex]f(x)=3*5^{2x-3}[/tex]

Apply Law of indices

[tex]f(x)=3*\frac{5^{2x}}{5^3}[/tex]

Express 5^3 as 125

[tex]f(x)=3*\frac{5^{2x}}{125}[/tex]

Factorize the exponent of 5

[tex]f(x)=3*\frac{5^{(2)x}}{125}[/tex]

Express 5^2 as 25

[tex]f(x)=3*\frac{25^x}{125}[/tex]

This can be rewritten as:

[tex]f(x)=\frac{3}{125} * 25^x[/tex]

By comparing the above to [tex]f(x) = ab^x[/tex]

We have that

[tex]a = \frac{3}{125}[/tex]

[tex]b^x = 25^x[/tex]

Since, we've be able to express the function as [tex]f(x) = ab^x[/tex]

Then, [tex]f(x)=3*5^{2x-3}[/tex] is an exponential function

The expression in exponential form is expressed as [tex]g(x)=\frac{3}{125} \cdot 25^x[/tex]. Option C is correct.

Given the equation [tex]f(x) = 3\cdot 5^{2x-3}[/tex], we are to write in the form [tex]a(b)^x[/tex]

Simplifying the given expression, we will have:

[tex]g(x) = 3\cdot 5^{2x-3}\\g(x) = 3\cdot 5^{2x} \cdot 5^{-3}\\g(x) =\frac{3}{5^3}\cdot (5^2)^x\\g(x)=\frac{3}{125} \cdot 25^x[/tex]

Hence the expression in exponential form is expressed as [tex]g(x)=\frac{3}{125} \cdot 25^x[/tex]

Learn more here: https://brainly.com/question/19742435

If triangle ABD is similar to Triangle EFG, find BC and FH
A BC= 9, FH=6
B. BC= 12, FH=9
C. BC =15. FH =12
D. BC=16, FH =13

Answers

Answer:

B. BC=12, FH=9

Step-by-step explanation:

I guessed and it was right


Throe would like to hire a guitarist for his charity concert. Guitarists A and B are offering their services to
Throe but each guitarist charges different initial fees and hourly rates. How can Throe check to see when
they will charge the same amount of money? Name three ways to perform this task.

Answers

Answer:

guitarist a&b I often their service to throne but each guitarist charge different intentional feeds and hourly rates how can the throne check to see when they will charge the same amount of money named three ways to perform this task answer

Nora read 1/9 of a book on Monday and 2/5 on Tuesday. What fraction of the book does she have left to read

Answers

Answer:

Step-by-step explanation:

On Monday, Nora read ¼ of the book, therefore she is left with ¾ of the original book.

Then on Tuesday, she read 2/5 of what was left on Monday therefore she is left with 3/5 of ¾ of the original book. This is equal to:

(3/5) (3/4) = 9/20

She still needs to read 9/20 of the book or 0.45 or 45% of the book.

George records the number of questions he has answered on DFM per day over 14 days, and puts the data in the bar chart below.

Find the total number of questions.

Answers

Answer:

18 is the total number of questions George answered in 14 days.

Step-by-step explanation:

The given chart:

The x-axis is showing the total number of questions George answered The y-axis is showing the frequency of days on which George answered the questions.

The given chart is showing that:

George answered the 5 questions on the first 4 days;George answered the next 6 questions on the next 5 days;George answered the next 7 questions on the last 5 days';

Hence, the total questions he answered will be:

5 + 6 + 7 = 18

Therefore, 18 is the total number of questions George answered in 14 days.

Item 21
The temperature of dry ice is −109.3°F. This is 184.9°F less than the outside temperature. Write and solve an equation to find the outside temperature t (in degrees Fahrenheit).

An equation is −109.3=
.

The outside temperature is
∘F.

Answers

Answer:

Step-by-step explanation:-109.3=t-184.9

T=75.6

what is 0.144444444444 as a fraction

Answers

Answer:

18/125

Step-by-step explanation:

Find the value of x.
(3x - 2)°
(10x - 11)
(3x + 1)
X=

Answers

Multiply the expressions.
90
x
3

129
x
2
+
13
x
+
22

Uh yes I’m sorry I am just trying to get answers

Simplify.

Rewrite the expression in the form 4^x.

4^4 x 4^3 = ??

Answers

Answer:

[tex]4^{7}[/tex]

Step-by-step explanation:

To simplify the expression [tex]4^{4}\times4^{3}[/tex], we can use the first law of the law of indices which states that the exponent is added together when multiplying numbers with the same base. Eg: [tex]a^{x}\times a^{y} = a^{x+y}[/tex].

[tex]4^4 \times4^3=4^{4+3}[/tex]

[tex]=4^{7}[/tex]

Hope this helps :)

If the amount of vat paid by a customer while buyong a bag at 13℅ vat rate rs 143 ,find the cost of bag without vat​

Answers

Step-by-step explanation:

vat %=13%

vat=143

vat = vat% of sp (i.e sp without vat)

143 = 13/ 100 of sp

143*100=13sp

14300/13 = sp

sp=4766.67

therefore the cost of bag without vat is rs.4766.67

Linda Is working at an art shop. She will be paid a daily amount plus a commission of a total sales. The equation y = .10x + 85 represents the amount Linda will make

Answers

Answer:

Income Linda make = $150

Step-by-step explanation:

Given:

y = 0.10x + 85

Assume;

Sales = $650

Find:

Income Linda make

Computation:

Income Linda make = 0.10x + 85

Income Linda make = 0.10(650) + 85

Income Linda make = 65 + 85

Income Linda make = $150

Solve the system of equations by the elimination method: \large 9x+y=-8 and \large 4x+y=2. Then fill in the solution as an ordered pair:

Answers

Answer:

rrrrrrrrrrrrrrrrrrrrrwwwwwwwwwwwwwwwwww44444444444444wwwwwwwwwwwwww

Step-by-step explanation:

you are easydsssssdfewatg3

Can someone please help me with this question?!

Answers

It is c the answer of it

Only one more to go. Thank you victoria so much for helping me I really appreciate it like really you are a angel.☺️

Answers

Always happy to help!! Thank you so much- I hope you have an amazing rest of your night and an amazing rest of your break!
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