Anyone know?
A. 99
B. 100
C. 121
D. Cannot be determined

Answers

Answer 1

Answer:

Since, it is given that the pentagon ABCDE is congruent to pentagon FGHIJ.

By being congruent, the corresponding angles and sides are equal.

Therefore, $\angle A = \angle F$ , $\angle B = \angle G$ , $\angle C = \angle H$ , $\angle D= \angle I$ , $\angle E = \angle J$ .

By using $\angle A = \angle F$

So, $100^\circ = \angle 1$

Therefore, the measure of angle 1 is 100 degrees.

So, Option B is the correct answer.

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Sally earns graduated commission on her sales each month. She earns 6% commission on the first $45,000 in sales and 8% on anything over that. If Sally had $51,000 in sales this month, how much commission did she earn?
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If f(x)=x^2-5 and g(x)=6x then g(f(x)) is equal to

A student has some $1 and $5 bills in his wallet. He has a total of 14 bills that are worth $38. How many of each type of bill does he have?

Answers

They have 6 $5 bills and 8 $1 bills.

There are 7 $1 bills and 8 $5 bills.

Use the graph of y=e^x to evaluate the expression e^1.5. Round the solurion to the nearest tenth if necessary.

Answers

Answer:

$e^(1.5)=4.482$

Step-by-step explanation:

Given: $f(x)=e^x$

We need to find the value of function at x=1.5

Put x=1.5 into f(x)

$f(1.5)=e^(1.5)$

$f(1.5)=4.482$

Now we will verify the result using graph.

First we draw the graph of f(x) and a vertical line x=1.5

Please see the attachment for graph.

Hence, The value of $e^(1.5)=4.482$

According to my graphing calculator, e^1.5=4.5 which is rounded to the nearest tenth.

Solve 3x^2 = 6x by rewriting the equation. Show your reasoning.

Answers

Solution of the given equation $3x^(2)=6x$ is x=2 and 0

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given,

$3x^(2) =6x$

Rewrite the equation

$3x^(2) -6x=0$

Solve the equation

$3x^(2) -6x=0\n3(x^(2) -2x)=0\nx^(2) -2x=0$

Therefore the roots are

x=2 and 0

Hence, solution of the given equation $3x^(2) =6x$ is x= 2 and 0

Learn more about equation here

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58% of what number is 48?

Answers

Answer:

82.758620689655

Step-by-step explanation:

48/0.58=82.758620689655

Write the standard equation for the circle center left parenthesis negative 6 comma 7 right parenthesis, r = 9.A. left parenthesis x minus 6 right parenthesis squared plus left parenthesis y plus 7 right parenthesis squared equals 9
B. left parenthesis x minus 7 right parenthesis squared plus left parenthesis y plus 6 right parenthesis squared equals 81
C. left parenthesis x plus 6 right parenthesis squared plus left parenthesis y minus 7 right parenthesis squared equals 81
D. left parenthesis x plus 6 right parenthesis squared plus left parenthesis y minus 7 right parenthesis squared equals 9

Answers

Answer:

Step-by-step explanation:

The standard form equation for a circle is

$(x-h)^2+(y-k)^2=r^2$

where h and k are the coordinates of the center. Our center is given as (-6,7) and the radius is given as 9, so that information fits into our standard form like this:

$(x-(-6))^2+(y-7)^2=9^2$ and simplified, it looks like this: