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

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 ( , )

Answers

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:

Point A' is at (-1 ,4 ).

Therefore, the coordinates of the point (-5,6) after the transformation are (-1,4).

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

Graph the linear equation

Answers

Answer:

I added a screenshot. ;)

Step-by-step explanation:

What is an exaple of linear

Answers

Answer:

a line

Step-by-step explanation:

a linear equation is an equation that may additionally be put in the structure where are the variables, and are the coefficients, which are often real numbers. The coefficients may also be considered as parameters of the equation, and may also be arbitrary expressions, furnished they do no longer include any of the variables.

Please help me I am doing a timed test I will choose brainliest

Write the standard form of the equation of a line with a slope of 2 passing through the point (-4, -3).

Select one:
a. 2x - y + 5 = 0
b. -x + 2y + 2 = 0
c. x - 2y - 2 = 0
d. -2x + y - 5 = 0

Answers

Answer:

Step 1: We need to determine b by using slope-intercept form, the given slope, and the given line.

[tex]-3 = 2(-4) + b\\\\-3 = -8 + b\\\\5 = b[/tex]

Step 2: Now we create the slope-intercept form for the line.

[tex]y = 2x + 5[/tex]

Step 3: We can now change the above equation to standard form.

[tex]y = 2x + 5\\\\-2x + y = 5\\\\-2x + y - 5 = 0[/tex]

The equation of the line in STANDARD FORM is: D. -2x + y - 5 = 0.

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:


What type of integer would revenue be?

Answers

Answer: negative

Step-by-step explanation:  

Write the equation in Standard Form. y = -2x + 5*
0 2x + y = 5
O 2x + y = -5
O 2x - y = 5
O-2x + y = 5

Answers

Answer:

2x + y = 5

Step-by-step explanation:

Standard form is:

ax + by = c

Given

y = -2x + 5

Converting to standard form

y = -2x + 5 2x + y = 2x - 2x + 52x + y = 5

Correct option is the first one

Find the area of the parallelogram.

Answers

A= base x height = 3x4 = 12 ft

Answer: 12

Step-by-step explanation:

(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

−5x=−4.5

Step 4: Divide both sides by -5.

−5x

−5

=

−4.5

−5

x=0.9

Answer:

x=0.9

what is 6.85 times 2 times 10?

Answers

Answer:

137

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

Answer: 6

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

= 6

6 songs will be there on the final CD.

Answer:

21

Step-by-step explanation:

You fottt

134−56·0+16÷1=


help fast please!!!!

Answers

The answer is 150 I hope it helps

Find the area of the triangle.

Answers

17.5
A=l•w/2
A=5•7/2
A=35/2
A=17.5

whats 2+2 very hard I know

Answers

Answer:

4

Step-by-step explanation:

Answer:

2+2= 4

is very hard I know

THANKS

3 1/2 gal = how many qt?

Answers

3 1/2 gallons would be equal to 14 quarts

PLEASE ANSWER THIS ASAP !!!!

Answers

Answer:

C

Step-by-step explanation:

Answer:

answer is B

Step-by-step explanation:

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

2.8 = 0.8L

Divide both sides by .8 to isolate L:

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

3.5 = L

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

One possible solution to a diminishing Social Security payroll is to decrease the Social Security benefit by 13%. How
would such a decrease effect the benefits on a salary of $54,000?
a. Benefit would decrease by $1,404 annually.
b. Benefit would decrease by $7,020 annually.
Ć. Benefit would decrease by $8,640 annually.
d. Benefit would decrease by $15,660 annually.

Answers

Answer:

the answer is B

Answer:

The correct answer is B) Benefit would decrease by $7,020 annually.

simplify the expression -9x-8+4x+7

Answers

Answer: 5x - (-1)

Step-by-step explanation:

Answer:

-5x-1

Step-by-step explanation:

First combine like terms

-9x-8+4x+7 combine -9 and 4

-5x-8+7 then combine -8 and 7

-5x-1

What is the constant of proportionality

Answers

Answer:

It is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

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

Tuesday=$3

Wendesday=$4

Total= 3+4

Total= $7

In all, this show that more money is leaving the account than entering the account

What is the surface area of the rectangular pyramid below?

Answers

There’s no picture under your question

what does x equal in x= x^2-12x+36

Answers

Answer:

x=4, x=9

Step-by-step explanation:

If x equals x^2-12x+36, x can equal 4 or 9. You may have to enter both answers.

EASY POINTS Y'ALL!!!!

Answers

Answer:

subtracting 18 from both sides isolate the variable term

It takes John 54 minutes to paint a fence with a length of 12 meters. On average, how long did he take to paint 1 meter of the fence? *
25 points
3.5 minutes
4.5 minutes
4.8 minutes
5.4 minutes
Other:

Answers

Answer:

4.5

Step-by-step explanation:

I think it will work if you Divide 54 over 12 = 4.5

Find the area of each figure. If necessary, use 3.14 for pi. and round to the
nearest hundredth 6ft 5ft 3ft 4ft

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.

So a is 3 times 4/2=12/2=6 sq ft.

b is 6 times 5/2=30/2=15

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

A = 15 + 6 = 21 ft²



Find the value of k so that the remainder is -5 for (3x+kx^2-7x+10) / (x+3).

5
10
3
-8
60

Answers

Answer:5

Step-by-step explanation:

A store has clearance items that have been marked down by 45%. They are having a sale, advertising an additional 35% off clearance items. What percent of the original price do you end up paying?

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

= 35.75% of the original price is paid

solve each question -5x + 40= 6x - 70

Answers

Answer:

10=x

Step-by-step explanation:

-5x+40= 6x-70

-5x+110=6x

110=11x

10=x

Answer:

this is da answer

10=x for yoquestion

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