determine the value of x.

Answer:

D

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos CBA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{9}[/tex] , thus

∠ CBA = [tex]cos^{-1}[/tex] ([tex]\frac{3}{9}[/tex] ) ≈ 70.53° ( to 2 dec. places )

Answer:

8,3 y=3x+4

Step-by-step explanation:

The y intercept of line AB is 56/5 and the equation of the line CD is y = -7/5 x + 12.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given A(8, 0) and B(3, 7).

Equation of line in slope intercept form is y = mx + c, where m is the slope and c is the y intercept.

Slope of AB = (7 - 0) / (3 - 8) = -7/5

Substituting in the equation,

y = -7/5 x + c

Substituting a point (8, 0) on the equation,

0 = (-7/5 × 8) + c

c = 56 / 5

Given AB parallel to CD.

Slope of parallel lines are equal.

Slope of CD is -7/5.

Equation of the line CD is y = -7/5 x + c.

Substituting (5, 5),

5 = (-7/5 × 5) + c

c = 12

Equation of CD is y = -7/5 x + 12

Hence the equation of line CD is y = -7/5 x + 12.

Learn more about Slope here :

https://brainly.com/question/14511992

#SPJ7

Answer:

226 tons of seed......

Hello!

[tex]\large\boxed{x = 1}[/tex]

-x - 3 = 2x - 6

Begin by adding x to both sides:

-x + x - 3 = 2x + x - 6

-3 = 3x - 6

Add 6 to both sides:

-3 + 6 = 3x - 6 + 6

3 = 3x

Divide both sides by 3:

3/3 = 3x/3

x = 1.

Answer:

-t-9

Step-by-step explanation:

=-5t+4t-12+3

=-t-9

Answer:

6

Step-by-step explanation:

Step-by-step explanation:

Since 6 Pazzo dog food cost $25.50,

5 Pazzo dog food would cost $25.50 * 5/6 = $21.25.

Hence Michael would spend $21.25.

Answer:

$21.25

Step-by-step explanation: $4.25 for each bag so $4.25 x 5= $21.25

Answer:

D. 4.5​

Step-by-step explanation:

Answer:

1,NO

2,Just divide the square rooted number with the numbers that square it.

3,Negative

Answer:

1,no

2,by the same word multiplying and the get square root of a number

3,negative

Answer:

40 + 7 = 47.    47 x 8  = 376

8 x 40 = 320      8 x 7 = 56

320 + 56 = 376

They equal the same.

Step-by-step explanation:

8x(40+7)=(8x40)+(8x7)

Answer:

1 Expand by distributing terms.

10-80x+710−80x+7

2 Collect like terms.

-80x+(10+7)−80x+(10+7)

3 Simplify.

-80x+17−80x+17

Step-by-step explanation:

Answer: 1/8 hours or 7.5 minutes

Step-by-step explanation:

Since Hannah spent 1/2 an hour to complete 4 math problems. We are further told that she spent an equal amount of time on each problem.

The amount of time spent on each problem will be:

= 1/2 ÷ 4

= 1/2 × 1/4

= 1/8 hours

Since 60 minutes = 1 hour

1/8 hours = 1/8 × 60 = 7.5 minutes each.

Answer:

Sophia now has 39 cents.

Step-by-step explanation:

One quarter = 25 cents

Since Sophia had 64 cents until she spent 25 cents (1 quarter).

So we subtract 25 cents from 64 cents.

[tex] \: \: \: 64 \: cents \\ \frac{ - 25 \: cents}{ \: \: \: 39 \: cents} [/tex]

Therefore, Sophia now has 39 cents.

Answer:

72.9

Step-by-step explanation:

Multiply your first 2 terms

4.5* (-9) = -40.5

multiply this by -1.8

-40.5*-1.8 = 72.9

Answer:

−72.9 / option B

Step-by-step explanation:

(4.5)(-9)(1.8)

Step 1: (4.5) x (-9) = (-40.5)

Step 2: (-40.5) x (1.8) = (-72.9)

Complete question is;

Arrange the systems of equations that have a single solution in Increasing order of the x-values in their solutions.

1) 2x + y = 10

x - 3y = -2

2) x + 2y = 5

2x + y = 4

3) x + 3y = 5

6x - y = 11

4) 2x + y = 10

-6x - 3y = -2

Answer:

Arranging the systems in increasing value of x gives;

System 2, system 3, system 1

Step-by-step explanation:

1) 2x + y = 10 - - - (eq 1)

x - 3y = -2 - - - (eq 2)

Multiply eq 1 by 3 to get;

6x + 3y = 30

Add it to eq 2 to get;

7x = 28

x = 28/7

x = 4

2) x + 2y = 5 - - - (eq 1)

2x + y = 4 - - - (eq 2)

Multiply eq 2 by 2 to get;

4x + 2y = 8

Subtract eq 1 from it to get;

3x = 3

x = 3/3

x = 1

3) x + 3y = 5 - - - (eq 1)

6x - y = 11 - - - (eq 2)

Multiply eq 2 by 3 to get;

18x - 3y = 33

Add to eq(1) to get;

19x = 38

x = 38/19

x = 2

4) 2x + y = 10 - - - (eq 1)

-6x - 3y = -2 - - - (eq 2)

Make y the subject in eq 1 to get;

y = 10 - 2x

Put in eq (2);

-6x - 3(10 - 2x) = -2

-6x - 30 + 6x = -2

0 = 0

Thus,no solution exists.

Arranging the systems in increasing value of x gives;

System 2, system 3, system 1

Answer:

The person above me is correct.

Step-by-step explanation:

Answer:

slope = 0

Step-by-step explanation:

Answer:

Slope:  0

Step-by-step explanation:

Slope:  0

y-intercept:  

( 0 , 3 )

Answer:

3. 72= (x)+(x+1)+(x+2) where x= the smallest number

72=3x+3

-3        -3

69=3x

/3   /3

x=23

x+1=24

x+2=25

smallest is 23

4. 48= (x)+(x+2)+(x+4)

48= 3x+6

-6        -6

42=3x

/3    /3

x=14

x+2=16

x+4=18

smallest is 14

5. all erasers were the same cost

25= 4x+5 (x= cost of erasers)

-5         -5

20=4x

/4   /4

x=5

each cost  $5

6. b= boxes

22= b/2 +7

-7            -7

15=b/2

multiply both sides by 2 to cancel the denominator

30=b

30 boxes originally

7. 40= total

8= left

2= balls given to each

x=number of friends

40= 2x+8

-8         -8

32=2x

/2   /2

x=16

she has 16 friends

8.  12= left

a= total allowance

12= (a/2) +4

-4            -4

8= a/2

multiply both sides by 2 to cancel the denominator

a= $16

she had an allowance of $16

9.  4 (2) = amount that her four children recieved

10=amount she took for herself

x= original

x= 4(2) + 10

x= 8 +10

x=18

she started with 18 candies

10. a= age

244= 400 - 2a

-400 -400

-156= -2a

/-2     /-2

a= 78

they are 78 years old

11. c= comic books

36=  c/2 + 16

-16           -16

20=c/2

multiply both sides by 2 to cancel the denominator

c=40

she started with 40 comic books

12.  b= students in buses

472= 9b + 4

-4             -4

468=9b

/9     /9

b= 52

52 students went in each bus

13. h= hats

17= h/2 +5

-5          -5

12=h/2

multiply both sides by 2 to cancel the denominator

h=24

she had 24 hats on monday

14. p= pies the club made

60= (p+4)/5

multiply both sides by 5 to cancel the denominator

300=p+4

-4         -4

p= 296

the club made 296 pies

Step-by-step explanation:

Answer:

Step-by-step explanation:

if 600 represents ........................15%

     x.................................................100%

(600*100)/15=4000

the customer paid

4000-600=3400

Answer:

bob

Step-by-step explanation:

ask your teacher

Answer:

try math wa y

Step-by-step explanation:

it will give u the answer to most questions the answer is c

Answer:

a true

Step-by-step explanation:

hope this helps please give me brainliest

Step-by-step explanation:

Gradient of line AB = 6/2 = 3.

Gradient of line CD = 10/2 = 5.

Gradient of line AD = 12/8 = 1.5.

Answer:

food, video games, sports, naps, music  

Step-by-step explanation:

Answer: 24.9 hours

Step-by-step explanation:

They are travelling a total distance of 1,740 miles at a speed of 70 miles per hour. Assuming they do not rest, they will take:

Time = Distance/ Speed

= 1,740/70

= 24.9 hours

Answer:

The answer is A

Step-by-step explanation:

Count all the x's. They add up to 8.

Hope this helped.

Answer:

A. There were 8 people who rode in the bicycle race.

Step-by-step explanation:

The line plot in the picture shows the distance in miles raced by Sophie's friends.

It's required to select one of the following options:

A. There were 8 people who rode in the bicycle race.

Since each x represents one person, and there are 8 x's, this statement is true.

B. More people rode 3/4 of a mile than 1/4 of a mile. There is only one x in 3/4 and 3 x's in 1/4. This is false

C. This option is false also, there were 5 people who rode 1/4 of a mile or 2/4 of a mile.

D. There were 2 people who rode 1 mile. False

Answer:

here you go - (-1,0) and (8,9)