3 lines are shown. A line with points C, A, F intersects a line with points E, A, B at point A. A line extends from point A to point D in between angle E A F. Angle C A E is 61 degrees, angle D A F is 90 degrees, and angle F A B is 61 degrees. Find the following angle measures. mAngleEAD = ° mAngleCAB = °

Answers

Answer 1

Answer:

m < EAD = 29 degrees

m < CAB = 119 degrees

Given :

The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees

Solution:

1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)

2. m<BAC + m<EAC = 180 degrees (sum of linear pair)

3. m<CAB = 180 degrees - m<EAC

4. Equation 1: m<CAB = m<EAF = 119 degrees

5. m<EAF = m<EAD + m< DAF

6. m<EAD = m<EAF - m<DAF

7. m<EAD = 119 degrees-90 degrees = 29 degrees

Hope this helps!!! :)

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3 Lines Are Shown. A Line With Points C, A, F Intersects A Line With Points E, A, B At Point A. A Line
Answer 2

m < EAD = 29 degrees

m < CAB = 119 degrees

It is given that Angle C A E is 61 degrees,

angle D A F is 90 degrees,

angle F A B is 61 degrees

We need to find mAngleEAD and  mAngleCAB

What is sum of linear pair angles?

The sum of linear pairs is 180 degrees

Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)

m<BAC + m<EAC = 180 degrees (sum of linear pair)

m<CAB = 180 degrees - m<EAC

Equation 1: m<CAB = m<EAF = 119 degrees

m<EAF = m<EAD + m< DAF

m<EAD = m<EAF - m<DAF

m<EAD = 119 degrees-90 degrees = 29 degrees

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Related Questions

The diameter of a circle is 2 units What is the radius of the circle

Answers

Answer:

The radius of the circle is 1.

Step-by-step explanation:

The way to find the radius of a circle is to divide the diameter by 2.

Answer:

1

Step-by-step explanation:

He transformation function is (x, y) --> (x + 4, y - 2). The starting point is point A at (-5, 6). Step 1: A: (-5, 6) x: , y: Step 2: Substitute x and y into (x + 4, y - 2): ( + 4, - 2) Step 3: Do the math: Point A' is at ( , )

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Given:

Rule of transformation is [tex](x,y)\to (x+4,y-2)[/tex].

Point = (-5,6)

To find:

The missing values in the given steps of transformation.

Solution:

Step 1: A: (-5, 6).

[tex]x:-5,y:6[/tex]

Step 2: Substitute x and y into [tex](x+4,y-2):[/tex]

[tex](-5+4,6-2)=(-1,4)[/tex]

Step 3: Do the math:

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Let p(n) be the number of primes less than n. What is p(50)

Answers

Answer:

There are 15 prime numbers less than 50

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53

EASY POINTS Y'ALL!!!!

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Answer:

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Find the area of each figure. If necessary, use 3.14 for pi. and round to the
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Answers

Answer:

a is 6 sq ft, b is 15 sq ft

Step-by-step explanation:

I'm going to call the bottom triangle (the one with 3, and 4 as its side lenght), and the top one, b.

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Answer:

21 ft²

Step-by-step explanation:

A = [tex]A_{1}[/tex] + [tex]A_{2}[/tex]

[tex]A_{1}[/tex] = (5 × 6) ÷ 2 = 15 ft²

[tex]A_{2}[/tex] = (4 × 3) ÷ 2 = 6 ft²

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(4x+9)/(7/3)= 3x/0.5

Answers

Answer:

x=0.9

Step-by-step explanation:

4x+9

7

3

=

3x

0.5

Step 1: Cross-multiply.

4x+9

7

3

=

3x

0.5

(4x+9)*(0.5)=3x*(

7

3

)

2x+4.5=7x

Step 2: Subtract 7x from both sides.

2x+4.5−7x=7x−7x

−5x+4.5=0

Step 3: Subtract 4.5 from both sides.

−5x+4.5−4.5=0−4.5

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Step 4: Divide both sides by -5.

−5x

−5

=

−4.5

−5

x=0.9

Answer:

x=0.9

Ach day of the week, Michael went to the bank and either deposited or withdrew money from his bank account. On Monday, he withdrew $10. On Tuesday, he deposited $3. On Wednesday, he deposited $4. On Thursday, he withdrew $15. On Friday, he withdrew $8.

Answers

Answer:

Total withdrawals=$33Total deposits= $7

Step-by-step explanation:

We are expected to determine the cash flow in the account

Step one:

given data

Total withdrawals

Monday=$10

Thursday=$15

Friday=$8

Total= 10+15+8=$33

Step two:

Total deposits

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Total= 3+4

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Answer: negative

Step-by-step explanation:  

A band expects to put 15 songs on their next CD. The band writes and records ​60% more songs than they expect to put on the CD. During the editing​ process, ​75% of the songs are removed. How many songs will there be on the final​ CD?

Answers

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Step-by-step explanation:

From the question, we are informed that a band expects to put 15 songs on their next CD and that the band writes and records ​60% more songs than they expect to put on the CD. Therefore, the total songs will be:

= 15 + (60% × 15)

= 15 + (0.6 × 15)

= 15 + 9

= 24 songs.

During the editing​ process, ​75% of the songs are removed. The total number of songs that will be there on the final​ CD will be:

= 24 - (75% × 24)

= 24 - (0.75 × 24)

= 24 - 18

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Answer:

21

Step-by-step explanation:

You fottt

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Answers

There’s no picture under your question

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Answers

Answer:

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Step-by-step explanation:

-5x+40= 6x-70

-5x+110=6x

110=11x

10=x

Answer:

this is da answer

10=x for yoquestion

A store sells rope by the meter. The equation p = .8 L represents the price: p (in dollars) of a piece of nylon rope that is L meters long.

How long is a piece of nylon rope that is $2.80?

Answers

Answer:

3.5 meters

Step-by-step explanation:

Equation: p = 0.8L

Given: p = 2.80

To find the length of a piece of nylon rope that costs $2.80, input the given value of p(2.80) into the equation and solve for L:

p = 0.8L

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Divide both sides by .8 to isolate L:

[tex]\frac{2.8}{0.8} =\frac{0.8L}{0.8}[/tex]

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The length of a piece of nylon rope that costs $2.80 is 3.5 meters long.

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Answers

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Answers

Answer:

2x + y = 5

Step-by-step explanation:

Standard form is:

ax + by = c

Given

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Converting to standard form

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Answers

Answer:

C

Step-by-step explanation:

Answer:

answer is B

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

2+2= 4

is very hard I know

THANKS

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

35.75%

Step-by-step explanation:

Given that:

Markdown % = 45%

Additional percentage off = 35%

45% markdown :

100% - 45% = 55% of item price will be paid.

Furthermore,

35% additional discount :

100% - 35% = 65% of item price will be paid

Hence, percentage of original price paid:

(55% * 65%) = 0.3575

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

:)

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5.4 minutes
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Answers

Answer:

4.5

Step-by-step explanation:

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