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

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.

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

Answer:

1.3%

Step-by-step explanation:

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

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

Answer:

-29/20

Step-by-step explanation:

-9/4 = r - 4/5

-r = -4/5 + 9/4

-r = 29/20

r = -29/20

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 :)

Answer:

YZ = 12.2

Step-by-step explanation:

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

24.4/2 = 12.2

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

Answer:

Slope is (1, 2)

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

Answer:

Step-by-step explanation:

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

=2cos3asin2a+sin2a/2cos3acos2a+cos2a

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

=sin2a/cos2a

=tan2a

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

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

Anser  75

Step-by-step explanation:

Answer: 14.88 is the answer

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Answer:

$8.00 per child

Step-by-step explanation:

Mr. Jackman= $32

Children= 4

per child= $32/4

$8.00

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.

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]

Answer:

4th one

Step-by-step explanation:

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!

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

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:

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