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Answer: ↓↓

Step-by-step explanation:

∠ABF and m∠60° are complementary since they form a right angle.

∠ABF + 60 = 90

∠ABF = 30°

∠ABF and ∠CBD are vertical angles so they're congruent.

∠CBD ≅ ∠ABF

∠CBD ≅ 30

∠CBD = 30°

∠ABC and ∠CBD are linear pair so they're supplementary.

∠ABC + ∠CBD = 180°

∠ABC + 30 = 180

∠ABC = 150

Hope I helped!

Answer:

Step-by-step explanation:

Let the present age of Alicia be x

Let the present age of her brother be y

Three years ago;

Alicia age = x - 3

Her brother's age = y - 3

If three years ago Alicia was twice as old as her brother Carlos, then;

X - 3 = 2(Y-3)

x-3 = 2y - 6

x = 2y - 3 ...1

In two years time;

Alicias age = x+2

Her brother's age = y +2

If in two more years Alicia will be just 50% older than Carlos, then;

x+2 = y + 2 + (0.5(y+2))

x+2 = y+2 + 0.5y + 1

x+2 = 1.5y+3

x = 1.5y + 1 ...2

Equating 1 and 2;

2y - 3 = 1.5y + 1

2y - 1.5y = 1+3

0.5y = 4

y = 4/0.5

y = 8

Since x = 2y-3

x = 2(8) - 3

x = 16-3

x = 13

Hence Alicia will be 13 years old today

Answer:

y = - 3, x = 8

Step-by-step explanation:

x - y = 11, x = 11 + y

Lets solve this equation with substitution: 3x + 10y = - 6

3(11+y)+10y=-6

33+3y+10y=-6

13y=-39

y = - 3

x - (-3) = 11

x + 3 = 11

x = 8

Answer:

use the first equation and solve for the variables

Step-by-step explanation:

for example, to solve for x add y on both sides x=11+y and substitute that to the equation

3(11+y)+10y=-6

that should give you -3

then go back to the equation x=11+y

x=11+(-3)

x=8

hope this helps!

Answer:

640 pennies

Step-by-step explanation:

3/4= 6/8 so...

6-3=3

240/3= 80

80x8=640

Answer: 20%

Explanation:

1. Turn it into a fraction (224/280)

2. Divide the numerator (224) by the denominator (280). (224÷280=0.8)

3. Subtract 1 by 0.8 (or 100% by 80%) that should give you the answer 0.2 (20%)

Checking work:

280x0.2=56

280-56=224

Answer:

its b)

Step-by-step explanation:

explained in the comments of second answer⬇️

Answer:

6

Step-by-step explanation:

add 2 each time

Answer: Assuming it means slope-intercept, the answer would be y=-2x+9

y = -2x + 9 is the equation of the line given in the graph.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a graph of the line, Where we can see that the line passes through the coordinates (0, 9) and (1, 7)

From the slope-intercept formula of a line:

y = mx +c

Where m is the slope

And c is the value of y at x =0

Thus in our case,

c = 9

and slope m = (y - y )/(x - x)

m = (7-9)/(1-0)

m = -2

so, the equation of the line:

y = -2x + 9

Therefore, the equation of the line in the given Graph is y = -2x + 9.

Learn more about Linear equations here:

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Answer:

x = 32

Step-by-step explanation:

x/4 + 2 = 10

subtract 2 on both sides

x/4 + 2 - 2 = 10 - 2

x/4 = 8

Multiply 4 on both sides

x/4 * 4 = 8 * 4

x = 32

__________________________________________________________

Check:

32/4 + 2 = 10

8 + 2 = 10

10 = 10 CORRECT

Hope this helped!

Answer:

Zero

Step-by-step explanation:

So we start out on a positive 7. We then add a negative (You just subtract) 7. Modified equation: 7-7

7 minus 7 equals 0 or {7 - 7 = 0}

Hope this helps!!

Answer:

0

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

Answer:

10% increase

Step-by-step explanation:

To find the percent change, divide the difference between the 2 prices by the original price:

2/20

= 0.1

So, the percent change was 10%

Answer:

f(-5) = -16

Step-by-step explanation:

f(x)=2x-6

f(-5) = (2 * -5) -6 = -10 - 6 = -16  ... replace x with -5

Answer:

Start at 7:30pm

add 46 minutes = 8:16 Pm

add 20 minutes = 7:50 Pm

add 53 minutes = 8:23 Pm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part C- y=20x+600

Part D- To part D find the equations for all the cities.

Everett- y=15x+550

Chelsea- y=20x+600

Revere- y=50x+300

Since 2030 is 14 years away from 2016 x will equal 14.

Plug in 14 to each of the equations. Whichever has the highest result will be the answer.

Everett- y=15(14)+550 -----> y=760

Chelsea- y=20(14)+600 -----> y=880

Revere- y=50(14)+300 -----> y=1000

Revere will have the most chromebooks.

The temperature at 8 pm is obtained as follows:

-9 ºF.

The temperature at 8 pm is obtained applying the sequences in the context of this problem.

The initial temperature is of:

−12°F.

By 5:00 p.m., the temperature had risen 5 degrees, hence the temperature at 5 pm is given as follows:

-12 + 5 = -7ºF.

Over the next three hours, the temperature had dropped 2 degrees, hence the temperature at 8 pm is obtained as follows:

-7 - 2 = -9 ºF.

More can be learned about sequences at https://brainly.com/question/6561461

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Answer:

1 to 2

1:2

1/2

Step-by-step explanation:

Answer:

Ze anser is 1:3 (づ｡◕‿‿◕｡)づ

Step-by-step explanation:  

Answer:

neither

Step-by-step explanation:

Answer:

(5.5,3)

Step-by-step explanation:

Answer:

Time taken to cover 10 miles = 80 minutes

Step-by-step explanation:

Given:

Ratio [Number of minutes : Number of miles runs] = 24:3

Find:

Time taken to cover 10 miles

Computation:

Number of minutes/Number of miles runs = Time taken to cover 10 miles / 10

24/3 = Time taken to cover 10 miles / 10

Time taken to cover 10 miles = 80 minutes

Answer:

t = 31s

Step-by-step explanation:

................

Answer:

k = 16/33

Step-by-step explanation:

Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p

k - 2/3 = 5/8k - k

3k-2/3 = 5k-8k/8

Cross product

(3k-2)(8) = (3)(5k-8k)

24k - 16 = 15k - 24k

24k - 16 = -9k

24k + 9k = 16

33k = 16

k = 16/33

Answer: Solution

=

−

6

Step-by-step explanation:

Answer:

X = -6 plz brainliest

Step-by-step explanation:

-1/6x - 5 = 2/3x

Get rid of the smallest amount of x by adding 1/6x to both side

-5 = 5/6x

Divide both side by 5/6

-6 = x

X = -6

Answer:b

Step-by-step explanation:

Answer: Choice A.  [tex](-\infty, \infty)[/tex]

This is the same as saying the set of all real numbers.

There are no restrictions to put on the domain, so there are no values to avoid. This is because there are gaps, jumps, or holes in the graph. It's one continuous single curve.

This curve stretches forever to the left and right. As it goes left, it moves up (rises to the left). As it moves right, it goes downhill (it falls to the right). Saying "rises to the left and falls to the right" is an informal way to describe the end behavior. The actual specific end behavior doesn't matter. What matters is both left and right sides go on forever.

A domain of the set of all real numbers means we can plug in any real number for x, and get some output for y, which is part of the range.

One way we can describe the set of all real numbers in terms of an inequality is to write [tex]-\infty < x < \infty[/tex] meaning that x is between negative and positive infinity, ie x is anything you want. The inequality [tex]-\infty < x < \infty[/tex] converts to the interval notation [tex](-\infty, \infty)[/tex]. Interval notation is a compact way of writing compound inequalities.