Mathematics, 10.03.2020 18:35 yurrr30

If m∠D = 18°, and m∠C = 45°, what is mBC?

108°
63°
54°
125°

If m∠D = 18°, and m∠C = 45°, what is mBC? 108° 63° 54° 125°

Answers: 1

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Answer from: Quest

the dimensions are: $(2b+-+1)$

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

$v(b)=50b^3+75b^2-2b-3$

we factor to obtain;

$v(b)=(2b+3)(25b^2-1)$

we rewrite the rightmost factor to obtain;

$v(b)=(2b+)^2-1^2)$

recall that:

$a^2-b^2=(a+b)(a-b)$

we apply difference of two squares formula to obtain;

$v(b)=(2b+3)(5b-1)(5b+1$

hence the dimensions are

$(2b+-+1)$

Answer from: Quest

see below

step-by-step explanation:

7. there are 10 data points in the set. the middle point is between 5 and 6. the middle point in the top half is 8 and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term point 8 = 100 point 3 = 88

iqr = 100-88 = 12

final point 8 = 93 point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6. b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical . there is an outlier for the males that skews the data

5. the iqr is a better measure of spread for the movies and basketball games. since the basketball game has an outlier, we do not want to use standard deviation for measurement.

3. the exam median is much higher than the class median. the median line is farther to the right on the exams

2. there is no way to tell what the means are from the box and whisker plots.

Answer from: Quest

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

Answer from: Quest

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x.

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

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If m∠D = 18°, and m∠C = 45°, what is mBC?

108°
63°
54°
125°
...

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