Four rays meet at a common endpoint. Find the value of x. Find the measurement of angle CAD, if angle BAC =60, DAE= 90 and angle BAE= 12x, CAD=3x

Answers

Answer 1

Answer:

x = 14

<CAD = 42degrees

Step-by-step explanation:

Since all the rays meet at a point, the sum of all the angles at the point will be 360 degrees, since angle at a point is 360degrees

Taking the sum of all the angles and equating to 360, we will have;

<BAC + <DAE + <BAE + <CAD = 360

60+90+12x+3x = 360

150 + 15x = 360

15x = 360 - 150

15x = 210

x = 210//15

x = 14

Get <CAD

Since <CAD = 3x

<CAD = 3(14)

<CAD = 42 degrees

Hence the measure of angle CAD is 42degrees


Related Questions

What is YZ?

Enter your answer as a decimal in the box.

Answers

Answer:

YZ = 12.2

Step-by-step explanation:

YZ bisects XW and VW, therefore it is half of XV

24.4/2 = 12.2

sin 2A + sin 5A-sin A÷
cos A + cos 2A + cos 5A

Answers

Answer:

Step-by-step explanation:

(sin5a-sina)+sin2a/(cos5a+cosa)+cos2a

=2cos3asin2a+sin2a/2cos3acos2a+cos2a

=sin2a(2cos3a+1)/cos2a(2cos3a+1)

=sin2a/cos2a

=tan2a

Whats the answer to this question plz

Answers

1. x=13

2. m<OME=128

Step-by-step explanation:

1. 5x=65

x=65÷5

x=13

2. 4x+2x-12=180

6x-12=180

6x=180+12

6x=192

×=32

<OME=4×(32)

<OME=128

Answer:

1) x=13

2)m<OME=128.

Step-by-step explanation:

1) 5x=65

x=65:5

x=13

2) 4x+2x-12=180

6x-12=180

x=32.

The area of the entire figure is 1 square unit

Answers

Answer:

Area of shaded part = 0.42 unit²

Step-by-step explanation:

Given:

Length of shaded part = 0.7 unit

Width of shaded part = 3 x 2 = 0.6 unit

Find:

Area of shaded part

Computation:

Area of rectangle  = L x B

Area of shaded part = 0.7 x 0.6

Area of shaded part = 0.42 unit²

What is the slope of the line? Type fractions as y/x).

Answers

Answer:

Slope is (1, 2)

Josie makes fruit punch by mixing fruit juice and lemonade in the ratio 3:2
She needs to make 35 litres of punch for a party.
How much of each ingredient does she need?
Fruit juice =
Lemonade =​

Answers

Answer:

fruit-21

lemonade -14

Step-by-step explanation:

to find out how many parts you have you add 3 and 2 together, this gives you 5, 36÷5=7 so for every 1 of each you have 7, 3×7=21, 2×7=14

Answer:

Step-by-step explanation:

F/L=3/2

F=3L/2

F+L=35, using F found above makes this become

3L/2+L=35

3L+2L=70

5L=70

L=14, since F=3L/2

F=3(14)/2

F=21

So she needs

Fruit juice=21 liters

Lemonade=14 liters

7h + 4 > 5 – 5h solve the inequality

Answers

Step-by-step explanation:

7h + 4 > 5 - 5h

7h + 5h > 5 - 4

12h > 1

h > 1/12

Answer:

h>1/12

Step-by-step explanation:

-2 1/4 = r - 4/5

What is r?

Answers

Answer:

-29/20

Step-by-step explanation:

-9/4 = r - 4/5

-r = -4/5 + 9/4

-r = 29/20

r = -29/20

.
Patricia’s dog, Max, weighs 6.75 kilograms. There are approximately 0.45 kilograms in 1 pound. Which measurement is closest to the number of pounds Max weighs?

hurry ....

Answers

Answer: 14.88 is the answer

Step-by-step explanation:

The price of a new gaming PC was increased from $280 to $364. By what percentage was the price of the gaming PC increased?

MY LAST QUESTION PLZ HURRY

Answers

30% because if u do the math it sums up to 30%

Answer:

1.3%

Step-by-step explanation:

A Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.

Answers

Answer:

3x + 1 = 7

Step-by-step explanation:

3x + 1 = 7 Subtract 1 from both sides

3x = 6 Divide 3 from both sides

x = 2

At a movie theater, the size of popcorn bags decreased by 20%.



If the old bags held 15 cups of popcorn, how much do the new bags hold?

Answers

Answer:

12 cups

Step-by-step explanation:

I'm pretty sure you just take 20% of 15.. which is 3 and then you would do 15-3 which is 12. Hope this helps! <3

Answer:

12 cups

Step-by-step explanation:

if the volume decreases by 20%, that means 80% is left.

Solve by 15 x .8

(0,6) and the slope is 3

Answers

Answer:

Step-by-step explanation:

y-intercept (c)= 6

slope (m) = 3

Writing in slope intercept form

y = mx + c

y = 3x + 6

hope it helps :)

I’m super confused on what this means

Answers

The two triangles are congruent to each other, meaning they’re proportional to each other but not equal.
The question is asking you to list the angles that are congruent to each other (when talking about angles and congruency, if two angles are congruent, they are equal) and the sides that are congruent to each other (as long as all sides are proportional to each other, they are congruent (Triangle ABC has side lengths of 1, 2, 3 and Triangle DEF has side lengths of 2, 4, 6; these two triangles are congruent))

martha measured a building and made a scale drawing. the scale she used was 1 inch = 7 feet. if the actual length of the building was 84 feet, how long is the room in the drawing?

Answers

1 in. 7ft
x in. 84ft
x=1•84/7
x=12 in
The length of the room in drawing is 12 inches .

Plz help me do this. Thank you in advance. Do the ordered pairs as well :)

Answers

Answer:

y=3*(-2)                                      

y=--(3*2)

y=-6

 y=-6

y=0x-6

y=0x+(-6)

y=0x+(-6),m=0

y=0x+(-6),m=0,b=-6

m=0,b=-6

  y=3x(-2)

Let x be the domain values.

Let x = -1

y = 3(-1) - 2

y = -6 - 2

y = -8...range

Our first ordered pair is (-1, -8).

Let x = 2

y = 3(2) - 2

y = 6 - 2

y = 4...range

Our second ordered pair is (2, 4).

Let x = 4

y = 3(4) - 2

y = 12 - 2

y = 10...range

Our third ordered pair is (4, 10).

Done.

I need help with this

Answers

Answer:

4th one

Step-by-step explanation:

Das CD czdfjrthdinshahabaj

asap please help for brain list

If a+b = c which of the following statements is true?

b-c=a

a-c=b

c-a=b

c+b= a

Answers

Answer:

c-a=B

Step-by-step explanation:

if A+B=c then you subtract a from c and you get b

Answer:

C. c - a = b

Step-by-step explanation:

a + b = c

There are many ways to rearrange this equation. This can be done through addition and subtraction.

First, let's handle a. a is positive; therefore, we should subtract it.

a + b = c

b = c - a

Next, let's handle b. b is also positive; therefore, we should subtract it.

a + b = c

a = c - b

Finally, we will handle c. c is once again positive; therefore we should subtract it. However, it is the only variable on the right side, which would leave 0. This is not an option, so we will not look at this.

From our options, we can see that we have produced: b = c - a

This is an option, which has been written as c - a = b.

Therefore, your answer is C. c - a = b

Hope this helps!

i bought a box of air head worth $7.98 there are 60 bars in the box, how much is 1 air head worth? please help

Answers

Answer:

$0.13

Step-by-step explanation:

7.98/60 = 0.133

round down to 0.13

Answer:

I believe the answer is $0.13

Step-by-step explanation:

You need to divide the price of the air heads ($7.98) by how many bars there were in the box (60).  7.98/60= 0.133

Then you round the answer to the nearest hundredth: 0.133= $0.13

The number line shows the distance between numbered points on the line


Which number is the same distance from 0 on the number line as 4

Answers

It is -4 that’s your awnser

What fraction is equivalent to 135/15

Answers

9/1 would be the answer

What is the value of x in the figure? Enter your answer in the box.

Answers

Answer:

65

Step-by-step explanation:

65

What you do is subtract 15 from 145 and you get 130. You divide 130 by 2 and you get 65. And if you plug that into X you should get 145

Write the number name for 32.186

Answers

Thirty two and one hundred six thousandths.

Becky borrowed $580.00 from the bank. The loan had a 13.5% simple annual interest rate, and she paid off the bill over 1.5 years. What was the total amount, including interest, Becky paid for the loan?

Answers

Answer:

697.45

Step-by-step explanation:

interest for the first year = 13.5 % of 580 = 78.3

for 0.5 year, it will be 78.3 /2 =39.15

1year + 0.5 year = 78.3 + 39.15= 117.45

add that to borrowed amount to get total amount paid

117.45+ 580= 697.45

Paul finished his 800 meter race in 2 minutes and 2 seconds. Jeff finished in 121 seconds. Who finished first? (PLESES SHOW WORK)

Answers

Answer:

Jeff finished first

Step-by-step explanation:

To solve this equation, I can either converts 2 minutes 2 seconds to seconds or convert 121 seconds to minutes

CONVERT 2 MINUTES 2 SECONDS TO SECONDS

60 seconds = 1 minutes

to convert 2 minutes 2 seconds to seconds, multiply 2 minutes by 60 and then add 2 seconds to it

2 x 60 = 120 seconds

120 seconds + 2 seconds = 122 seconds

Paul finished in 122 seconds while Jeff finished in 121 seconds. Jeff finished first

CONVERT 121 SECONDS TO MINUTES

60 seconds = 1 minutes

To convert 121 seconds to minutes, we have to divide by 60

121/60 = 2 minutes 1 second

Paul finished the race in 2 minutes 2 seconds while eff finished the race in 2 minutes 1 second. Jeff finished first

find the value of given expression

[tex] \sqrt{1221 \times 1221} [/tex]

Answers

Answer:

[tex]1221\sqrt{x}[/tex]

Step-by-step explanation:

1221 x 1221 = 1490841

square root of 1490841 is 1221

Answer:

[tex]1221[/tex]

Step-by-step explanation:

[tex] \sqrt{1221 \times 1221} \\ = 1221[/tex]

Mr. Milano organized the ordering of 80 sandwiches in all, 90% of which were turkey. How many turkey sandwiches did they serve?

Answers

Anser  75

Step-by-step explanation:

Solve for k, the constant of variation, in an inverse variation problem where y=17 x=6

Answers

Answer:

k = 102

Step-by-step explanation:

Inverse variation is represented as follows:

y = k/x

Find k by substituting 17 for y and 6 for x:

17 = k/6

Multiplying both sides by 6 results in k = 102

Mr. Jackman gives $32.00 to his four children to share equally. How much will each of his children get?

Answers

Answer:

$8.00 per child

Step-by-step explanation:

Mr. Jackman= $32

Children= 4

per child= $32/4

$8.00

2{x-3}+3{x+3}={-5} answer plz

Answers

Answer:

x = -8/5 = -1 3/5

Step-by-step explanation:

2{x-3}+3{x+3}={-5}

Expanding the brackets:

2x - 6 + 3x + 9 = -5

5x = -5 + 6 - 9

5x = -8

x = -8/5.

Answer:

x=-8/5 is your answer

Step-by-step explanation:

2{x-3}+3{x+3}={-5}

2x-6+3x+9=-5

5x+3=-5

5x=-5-3

x=-8/5

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