MATHEMATICS HIGH SCHOOL

Dawn is making an abstract painting with two triangles. The dimensions of the painting are shown below: Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches.

The total area of the two triangles is _____ square inches.

Numerical Answers Expected!

Answers

Answer 1

Answer: 1st triangle area=0.5*8*10=40 in2 2nd triangle area=0.5*8*6=24 in2 Sum is 1st area + 2nd area, which is 64 in2.

Answer 2

Answer:

Answer:

6x10=0+8x10=80=140

Step-by-step explanation:

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In quadrilateral ABCD, angle A=(4x+10), Angle B=108, angle C= 3x, and angle D=67. Solve for x.

Answers

as the sum of angels in quadrilateral = 360°
so , A+B+C+D = 360
hence, x = 25

What is the slope of the line whose equation is 2y=5×+4?

Answers

2y=5x+4

Transforms into:

y=5/2x+2

Therefore the slope is: 5/2

$2y=5x+4\ny=(5)/(2)+2\n\n\boxed{m=(5)/(2)}$

Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses. After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks on.

She writes the equation of the function like this: E(x) = 20x - 50, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.

What does the slope of Jessica's function represent?

a. For each additional set of books she sells, her earnings will increase by $20.

b. For each additional door she knocks on, her earnings will increase by $20.

c. For each additional set of books she sells, her earnings will increase by $50.

d. For each additional door she knocks on, her earnings will increase by $50.

Answers

Hello there.

Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses.

After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks on.

She writes the equation of the function like this: E(x) = 20x - 50, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.

b. For each additional door she knocks on, her earnings will increase by $20.

For the answer to the question above,
since the only variable used to determine earnings is the number of doors knocked, you can eliminate options 1 and 3 as they are based on the number of books sold, which is not a part of the equation.

That leaves the only options being the increase of $20 or $50 for each door knocked. As the x value we multiply by 20, the correct answer is #2, her earnings will increase by $20 for each door knocked.

You can also check this by plugging in values:

Assume 10 doors are knocked:
E(10) = 20(10)-50 = 200-50 = 150

Assume 11 doors (1 more door) is knocked:
E(11) = 20(11)-50 = 220-50 = 170

The increase from 1 door is $20.

Evaluate the following exponential expression. 6^(2)*3