1. If m28 = 23°, find the measure of each missing angle. Give your reasoning.
a. m21 =
b. m 2 =
c. mZ3 =
d. m24 =
e. m25 =
f. m26 =
g. m27 =

Answer:

The distance between Albany and Buffalo along the I90 is 288.8 mi.

The speed of Fabio is 62 mph.

After 1.5 hours, he is 221 miles from Albany.

Things we can calculate here:

Using the relation:

Distance = time*speed.

We can calculate the number of miles that he moved in that 1.5 hours.

D = 62mph*1.5h = 93mi.

If after 1.5 hours, he was 221 miles Albany, then before that he was 93 miles closer to Albany.

His initial position was:

221 - 93 = 128 miles away from Albany.

Now we also can calculate the time left to arrive at Buffalo.

We know that the distance between Albany and Buffalo is 288.8 mi

And he is 221 mi away from Albany.

Then the distance left to Buffalo is:

288.8mi - 221mi = 67.8mi

And the time left will be:

Distance/speed = time

67.8mi/62mph = 1.1 hours.

He needs to drive for another 1.1 hours to get to Buffalo.

Answer:

3.81

Step-by-step explanation:

Answer:

x > - 3

Step-by-step explanation:

Given

- 2x + 5 < 11 ( subtract 5 from both sides )

- 2x < 6

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

x > - 3

Answer:

For example, 2 + 3i is a complex number. ... The real number a is called the real part of the complex number a + bi; the real number b is called its imaginary part. To emphasize, the imaginary part does not include a factor i; that is, the imaginary part is b, not bi.

Answer:

7

Step-by-step explanation:

x = 2

3x/2+4

3(2)/2 + 4

3+4

7

Step-by-step explanation:

Let the amount of apples bought be x

Amount of strawberries bought be y and;

amount of oranges bought be z

If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;

2x+3y+4z = 15.30 ........... 1

If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:

4x+y+2z = 10.90 ......... 2

If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:

5x+2y+x = 13.70 .......... 3

Solving the three equations simultaneously:

2x+3y+4z = 15.30 ........... 1

4x+y+2z = 10.90 ......... 2

5x+2y+z = 13.70 .......... 3

Reduce the number of equations

multiply equation 1 by 2 and subtract from equation 2

equation 1 * 2 will give:

4x+6y+8z = 30.6 ........... 4

eqn (4)-eqn(2)

6y-y + 8z-2z = 30.6-10.90

5y+6z = 19.7 ......... 5

Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.

eqn(2)* 5 will give:

20x+5y+10z = 54.5 .......... *

eqn(3) * 4 will give

20x+8y+4z = 54.8.......**

Subtsrct ** from *

8y-3y+(4z-10z)= 54.8-54.5

5y-6z = 0.3 .................. 6

Equate 5 and 6 and solve:

5y+6z = 19.7 ......... 5

5y-6z = 0.3 .................. 6

subtract:

6z+6z = 19.7+0.3

12z = 20

z = 20/12

z = 1.67

Substitute z = 1.67 into eqn 6

5y-6(1.67) = 0.3

5y - 10 = 0.3

5y = 10.3

y = 10.3/5

y = 2.06

Substitute z = 1.67 and y = 2.06 into equation 1

From 1:

2x+3y+4z = 15.30

2x+3(2.06)+4(1.67) = 15.30

2x+6.18+6.68 = 15.30

2x+12.86 = 15.30

2x = 15.30-12.86

2x = 2.44

x = 2.44/2

x = 1.22

Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67

Inequality has a set of solutions there could be infinitely many solutions to inequality.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Let's consider inequality,

n > 3 where n is the natural number.

Now 4,5,6,7.... up infinite will be the solution of the inequality.

Therefore, inequality consists of infinitely many solutions.

Hence "Inequality has a set of solutions there could be infinitely many solutions to inequality".

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Answer:

i don't know, i just want to know if you got it right

Step-by-step explanation:

The correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

Mr. Jones and Mr. Smith both plan to retire in 5 years.

From the formula:

The rate of interest is the same for both cases.

The duration for Mr. Jones is 20 years

The Initial investment amount for Mr. Jones = $250

The duration for Mr. Smith is 10 years

The initial investment amount for Mr. Smith = $500

Mr. Jones will have more money because he invested for a longer period of time.

Thus, the correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.

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Answer:

616.788

   OR

616.79 (rounded answer)

Step-by-step explanation:

Answer:

616.78891

Step-by-step explanation:

1 liter is 1.05669 quarts

Good luck!

Answer:

2.48$

Step-by-step explanation:

You can say that the tip is ? of of 13.75 and written as

[tex]\frac{?}{13.75}[/tex] and .18 is [tex]\frac{18}{100}[/tex] cross multiply these so

13.75 x 18 = 100?

247.5 = 100?

2.475 = ?

then round up

Answer:

A.

Step-by-step explanation:

The Answer is A

Answer: multiply 5x2 first

Step-by-step explanation:

Answer:

5 × 2

Step-by-step explanation:

PEMDAS:

P: Parethises

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

Since multiplying is before adding and subtracting you multiply first.

Answer:

5 × 2

The inequality will be x ≥ 2.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given is an inequality, 4x - 3 ≥ 5,

We need to solve for x,

4x - 3 ≥ 5

Add 3 to both sides,

4x - 3 + 3 ≥ 5 + 3

4x ≥ 8

Divide the inequality by 4,

4x / 4 ≥ 8 / 4

x ≥ 2

Hence the inequality will be x ≥ 2.

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Answer:

-3/7

Step-by-step explanation:

Answer:

The image of the point (0, -6) under the same translation is (-6, -12)

Step-by-step explanation:

Let us revise the rules of translation

∵ The coordinate of point P are (3, 8)

∵ The coordinates of its image P' are (-3, 2)

→ The x-coordinate is changed from 3 to -3, that means the point

   translated to the left by h units

∵ h = -3 - 3

∴ h = -6

→ The y-coordinate is changed from 8 to 2, that means the point

   translated down by k units

∵ k = 2 - 8

∴ k = -6

→ By using the rule above

∴ The rule of translation is (x, y) → (x - 6, y - 6)

∵ The coordinates of the point are (0, -6)

∴ The coordinates of its image are (0 - 6, -6 - 6)

∴ The coordinates of its image are (-6, -12)

Answer:

5

Step-by-step explanation:

Because there is zones

Answer:

9030.75

Step-by-step explanation:

5039.16/.558=9030.752688

round to the nearest hundredth

9030.75

i think

Answer:

Step-by-step explanation:

it is that because it equalls with positives numbers and if u do your calculation maybe youll undestand  

Answer:

audududheyeheheh gay

Answer:

DONDODA

Step-by-step explanation:

Answer:3400

Step-by-step explanation:

Answer:

3240

Step-by-step explanation:

3.24

×

10

3

=

3.24

×

1000

This means you move the decimal spot 3 digit spaces to the right.

Count 3 spaces:

3.2.4.0 →

3240

So then your number becomes

3240

Answer:

The slope would be 10/15 or 2/3 in simplest form.

Answer:

I think 21

Step-by-step explanation:

Answer:

The answer is $159

Step-by-step explanation:

2b + 3 - Day 1

4b + 6 - Day 2

6b + 9 - Day 3

477=6b+9

-9          -9

468=6b

78=b

(2x78) + 3 = 159

The answer is $159

Answer:

The answer is B, The domain is (-4, infinite) and it's range is (0, infinite)

Step-by-step explanation:

If we graph this equation, we can see that x=-4 is the ascending point on the graph, infinitely continuing upwards, giving us -4, infinite. The range, however is found with infinitely continuing off the graph to the right, making it a positive infinitely for the y value as it is NOT a steady straight line.

Answer:

y =  [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

Given expression:

               5x  - 6y = 20

To solve this problem, we make y the subject of the expression:

     Solution

              5x  - 6y = 20

      Add -5x to both sides of the expression;

              -5x + 5x - 6y = 20 + (-5x)

                             -6y  = 20 - 5x

     Now, multiply both sides by [tex]-\frac{1}{6}[/tex] ;

              [tex]-\frac{1}{6}[/tex]  x (-6y) =  [tex]-\frac{1}{6}[/tex] (20 - 5x )

                         y  = [tex]-\frac{20}{6}[/tex] + [tex]\frac{5}{6}[/tex]x

                         y =  [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]