Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.

The employee who did not have the same dollar amount in sales for the month of February as the other two employees is (a) Employee 1.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Earnings of three employees in the month of February are :

Employee 1 = 4.7 = $4700

Employee 2 = 4.9 = $4900

Employee 3 = 4.4 = $4400

Earnings of employee 1 = $2,000 + 3% on all sales

Let the amount of all sales be x.

2000 + (3% x ) = 4700

2000 + 0.03x = 4700

0.03x = 2700

x = 90,000

Earnings of employee 2 = 7% on all sales

Let the amount of all sales be x.

0.07x = 4900

x = $70,000

Earnings of employee 3 = 5% on the first $40,000 + 8% on anything over $40,000

Let the amount of sales be 40,000 + x.

(0.05 × 40,000) + (0.08 x) = 4400

2000 + 0.08x = 4400

0.08x = 2400

x = $30,000

Amount of sales = $40,000 + $30,000 = $70,000

Hence employee 1 did not have the same amount as the other 2 in February.

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Answer:

C.They have the same y-intercept.

Step-by-step explanation:

Edge 2021

The conclusion about the two functions is (c) they have the same y-intercept.

Functions are used to represent equation, graphs and tables

The equation of the function is given as:

[tex]f(x) = (x + 4)^2[/tex]

Set x = 0, to calculate the y-intercept

[tex]f(0) = (0 + 4)^2[/tex]

Evaluate

[tex]f(0) = 16[/tex]

From the complete question, the graph crosses the y-axis at y = 16

This means that both functions have the same y-intercept

Hence, the true statement about the functions is (c) they have the same y-intercept.

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Step-by-step explanation:

a) We are going g to use the definition of tangent to find x:

[tex]\tan{18°} = \dfrac{opp}{adj} = \dfrac{15}{x}[/tex]

[tex]\Rightarrow x = \dfrac{15}{\tan{18°}} = 46.2[/tex]

b) To solve this problem, we are going to use the definition of cosine:

[tex]\cos{70°} = \dfrac{adj}{hyp} = \dfrac{x}{46}[/tex]

[tex]\Rightarrow x = 46\cos{70°} = 15.7[/tex]

Answer:

Step-by-step explanation:

Similar right triangles (angle marked congruent).

Same proportion of corresponding sides:

Answer:

y = mx + c ......( general form)

y = -1/5X - 3

33 miles divided by 11 hours will give you the mile per hour traveled.

Answer: 3 miles per hr

Thr length of one of the sides of a triangle is equal to 1m, the mesurement of adjacent....... 45, 30 is lengths of the both side triangle.

THANK YOU

Answer:

y>=5/3x+5

Step-by-step explanation:

line is y=5/3x+5

shading is above the line

line is shaded

y>=5/3x+5

Answer:

Step-by-step explanation:

ASSUMING the usage fees are daily fees

120 = 3x - 6

126 = 3x

x = 42 books

Answer: the answer - 2/15

Step-by-step explanation: i took the test

The value of the expression [2- |-2/3 -2(-1/5)|] ÷ (-13) is -2/15

Numbers, symbols and operators grouped together that show the value of something.

Given that an expression [2- |-2/3 -2(-1/5)|] ÷ (-13)

[2- |-2/3 -2(-1/5)|] ÷ (-13)

= [2 - 4/15]/ (-13)

= 26/15*1/(-13)

= -2/15

Hence, The value of the expression [2- |-2/3 -2(-1/5)|] ÷ (-13) is -2/15

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Answer:

2969 cm³

Step-by-step explanation:

Volume of cylinder is

V=πr²h

=π*7.5²*16.8

=2968.8

=2969 cm³

Answer:

7) m∠BHE = 146°

8) m∠BAC = 25°

Step-by-step explanation:

Given that, [tex]\displaystyle\mathsf{\overline{CD}\:||\:\overline{EF}}[/tex], and that [tex]\displaystyle\mathsf{\overline{AB}}[/tex] is a transveral.

We are also provided with the following measures of the angles: m∠DGH = 2x, and m∠FHB = 5x - 51.

∠DGH and ∠FHB are also corresponding angles, as they have corresponding positions on the same side of the transversal, [tex]\displaystyle\mathsf{\overline{AB}}[/tex]. These two angles also have the same measure.  

In order to find the measure of ∠BHE, we could set up an equality statement on ∠DGH and ∠FHB to solve for the value of x.

m∠DGH = m∠FHB

2x = 5x - 51

Add 51 and subtract 2x from both sides of the equation:

2x -2x + 51  = 5x - 2x - 51 + 51

51 = 3x

Divide both sides by 3:

[tex]\displaystyle\mathsf{\frac{51}{3}\:=\:\frac{3x}{3}}[/tex]

x = 17

⇒  m∠DGH = 2x = 2(17) = 34°,

⇒  m∠FHB = 5x - 51 = 5(17) - 51 = 34°.

Since ∠FHB and ∠BHE are supplements (whose sum add up to 180°), we could determine the measure of ∠BHE as follows:

m∠BHE + m∠FHB  = 180°

m∠BHE + 34° = 180°

m∠BHE + 34°- 34° = 180°- 34°

m∠BHE = 146°.

Therefore, the measure of ∠BHE is 146°.

Given that ΔABC with [tex]\displaystyle\mathsf{\overline{AC}}[/tex] extended to D, and that m∠ABC = 63° and m∠BCD = 92°:

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles. In other words: ∠BCD = ∠BAC + ∠ABC.  

Before we could apply the Exterior Angle Theorem, we must first find m∠BAC. Since ∠BCD and ∠BCA are supplements:

m∠BCD + m∠BCA = 180°

92° + m∠BCA = 180°

92° - 92°+ m∠BCA = 180° - 92°

m∠BCA = 88°

Now that we have the measure for ∠BCA, we can find m∠BAC by applying the Triangle Sum Theorem where it states that the sum of the interior angles of a triangle is equal to 180°.

m∠BCD + m∠ABC + m∠BAC = 180°

92° + 63° + m∠BAC  = 180°

125° + m∠BAC  = 180°

155° - 155° + m∠BAC  = 180° - 155°

m∠BAC  = 25°

Therefore, the measure of ∠BAC is 25°.

Answer:

Mark has 12 quarters and 6 dimes.

Step-by-step explanation:

Hello! :)

A geometric sequence is a sequence where you use multiplication or division to get to the next term.

-4, -8, -16...

Here, we multiply every number by 2. So the common ratio is 2.

Hope it helps, and let me know if you have any queries.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex] here to help

Answer:

The answer is 2.

Step-by-step explanation:

To get the common ratio, simply dividing each number in the sequence from the number preceding it.

-4, -8, -16

-16 ÷ -8 = 2

- 8 ÷ -4 = 2

Answer:

The formula y = mx + b is said to be a linear function

Step-by-step explanation:

Answer:

D. is a linear function

Step-by-step explanation:

A. rational function

B. quadratic function

C. cube root function

Answer:

I think it is y=5...........

Answer:

x=-8

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

Firstly, distrubute 2 to our parentheses (2x - 10). Now, let's add our like terms, 2x - 10 = 4x + 6 since x alone is one we add this to 3x, equaling 4x. Then we're going to move our variable and sign, 2x - 10 - 4x = 6. Alright, now combine like terms and calculate (2x - 4x), we know when we subtract two and four, it's a negative 2, -2x = 6 + 10 = 16. Now divide both sides of the equation by -2, 16 divided by -2 is -8. Therefore, x = -8, hope this helped! Have a great day!

Cost is 65x + 3500 where x is = 326.

65(326) + 3500

21,190 + 3500 = $24,690 is the cost.

Revenue is 365x where x is 326.

365(326) = $118,990

Now we subtract the two:

118,990 - 24,690 = $94,300

This means that the answer is C) $94,300.

I hope this helps! :)

Answer:

C 18

Hope this helps

Answer:

1:24/100

Step-by-step explanation:

you divide both side

Based on the information given, the fraction of horsepower that will be applied to the pump will be 1l28.

From the information given, it can be seen that the motor is rated at 1/8 horsepower and used to drive a pump.

Therefore, the fraction of the horsepower that will be applied to the pump if the motor delivers only 2/7 of its rated horsepower will be:

= 2/7 × 1/8.

= 2/56

= 1/28

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Answer:

4 pounds 1 pound for each person

Answer:

The relation is a function.

Step-by-step explanation:

In the given relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)}:

A relation is a function for which none of the ordered pairs have the same first component and different second components.  

In the given relation:

The given relation represents a function since none of the first components  have the same corresponding second components.  In other words, there are no repeating values of A, B, D, F, and G. Each of these values has its own corresponding second component.  

Therefore, the relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)} is a function.

Answer:

if its asking for final depth it is 48 fert below sea level

Step-by-step explanation:

43 + 17= 60

12 - 60 = 48

Answer:

[tex]-\frac{5}{8}\\-9.2%\\\\-0.001[/tex]

-3/4, -5/8, -9.2%, -0.001, 4.6%, 5%, 33%

Step-by-step explanation:

[tex]-\frac{3}{4}=-75[/tex]%                                     4.6%

Let's do the process of elimination to find our answers

[tex]-\frac{5}{8}=-62.5[/tex]% this would be in between because - 62.5% would be after -75%

[tex]\frac{5}{100}=5[/tex]% this fraction equals to a positive percentage which would be after 4 so not this one

[tex]-0.001 = -0.1[/tex]% this number would come after -75%, -62.5%, -9.2%and before 4.6% so this would be one

[tex]-0.75= -75[/tex]% we already have the percentage so not this one

33% this number would come after 4.6% so not this one

-9.2% this would be between them because its -9 and it will be after -75% and -62.5%

Answer:

Step-by-step explanation:

A whole can be represented as 2.000 and so on, while a decimal number is represented as 3.14 when the numbers after the decimal point can be different of 0.

So when you multiply two decimal numbers check the total number of number after the decimal point and sum these amounts.

Example:

Suppose the next two numbers 12.88 and 3.1 both have different amounts of number after the decimal point, but with the simplification we can see that the final answer contain 3 decimal places.

But, why this work? Well remember that a decimal can be represented as a fraction of this way

[tex]\frac{1288}{100} \quad \text{and} \quad \frac{31}{10}[/tex]

So if you does the product of these fractions you get the next value:

[tex]\frac{39928}{1000} = 39.928[/tex]

Where the total number of numbers after the decimal point is equal to the power of 10 in the denominator that's mean equal to 3. However this method take more time, so is more simply say that the total of numbers after the decimal point is the sum of the total of numbers after the decimal point of each decimal number.