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oksian1 [2.3K]
3 years ago
9

Solve this problem in your notebook using all four steps. A board 60 in. long is cut into two parts so that the longer piece is

5 times the shorter. What are the lengths of the two pieces?
Mathematics
1 answer:
Viktor [21]3 years ago
8 0
X = shorter piece
y = longer piece = 5x

shorter piece + longer piece = 60
x + 5x = 60
6x = 60
x = 60/6
x = 10  in. <== shorter piece

y = 5x
y = 5(10)
y = 50 in. <== longer piece

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Mila [183]
When two lines intersect, opposite angles are equal. This means that angle 1 equals angle 4. We can use that information to find their values.
Angle 1 = Angle 4
6n+1 = 4n+19
2n=18
n=9

6(9)+1=54+1=55

Angle 1 and 4 equal 55 degrees.

Two angles that form a straight line together have a total sum of 180 degrees. Angles 1 and 5 are like this, as well as Angles 4 and 5, and Angles 4, 3, and 2 added together.

Therefore, 180 = (angle 4) + (angle 3) + (angle 2)
180= 55+(angle 3) + (angle 2)
125= angle 3 + angle 2

I'm not sure what else can be extrapolated from this. There doesn't seem to be a way to find out what the measure of angle 2 is without angle 3 as well. I hope this helps and you can figure it out from the answer choices!
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3 years ago
Help plz I NEED IT Help help hjelp
DaniilM [7]

Answer:

12

Step-by-step explanation:

12 because that's how many dots/vertices are shown(sorry if im wrong)

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3 years ago
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Solve the equation, 4 - (x + 1) = 6.<br><br> x = -3<br> x = 3<br> x = -9<br> x = 9
Vinvika [58]

Answer:

Step-by-step explanation:

The negative in front of the parenthesis changes the signs of the numbers and variables inside the parenthesis. We can rewrite as

4 - x - 1 = 6 and

3 - x = 6 so

- x = 3 and

x = -3

3 0
3 years ago
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If the correlation coefficient is 0.96, how confident can you be that your predicted value for the cost of a call at 70 minutes
Kitty [74]
Very confident because a correlation coefficient of 1 is perfect then a correlation coefficient of .96 means it is like 96% accurate
6 0
3 years ago
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A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions
salantis [7]

Dimensions are length 20 meter and width 14 meter

<em><u>Solution:</u></em>

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

<em><u>A rectangle has width that is 6 meters less than the length</u></em>

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

<em><u>The area of the rectangle is given by formula:</u></em>

Area = length \times width

<em><u>Substituting the values we get,</u></em>

Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0

<em><u>Solve the above equation by quadratic formula</u></em>

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}

a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14

Since, length cannot be negative, ignore a = -14

<em><u>Thus solution of length is a = 20</u></em>

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0
3 years ago
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