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KIM [24]
3 years ago
14

Please help, will mean a lot:)

Mathematics
1 answer:
mixer [17]3 years ago
8 0
OXY=90degree...and OYZ=90degree because the tangents supported in the circle are always 90
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the perimeter of a rectangle is 58cm. the length is 7cm less than three times the width. find the length and width. (translate t
Pie

Answer:

length = 20 cm

width = 9 cm

Step-by-step explanation:

perimeter =  58 cm

58cm = 2*L+2*w equation 1

L = 3w -7 equation 2

where:

L= length

w=width

so we have:

58 = 2(3w -7) +2w

58 = 6w -14 +2w

58 +14 = 8w

72 = 8w

w = 72/8

w = 9 cm = width

we have:

L = 3(9) -7 = 20 cm = length

4 0
3 years ago
Triangle XYZ is an isosceles Triangle with legs XY and ZY. Segments QR and QS are perpendicular bisectors of triangle XYZ. Find
Oduvanchick [21]

we know XYZ is an isosceles, thus XY = YZ, the perpendicular segment bisectors of QR and QS are also equal to each other in length, because they both are segment bisectors and thus YR=RX=YS=SZ, so any perpendicular line stemming from the same length on each side will meet its counterpart right on the middle of the triangle.

\bf \stackrel{QR}{\cfrac{x}{2}+2}~~=~~\stackrel{QS}{x - 10}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{x}{2}+2 \right)=2(x-10)}\implies x+4=2x-20 \\\\\\ 4=x-20\implies 24=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{QR}{\cfrac{24}{2}+2}\implies 12+2\implies 14

3 0
3 years ago
Consider the following data points.
Hoochie [10]

Answer:

the equation of the least-squares line for the data is: \hat Y=9.3+1.3x

Step-by-step explanation:

In a simple linear regression model, such as, \hat Y=b_0+b_1x, the coefficients bo and b1 are estimated through the method of least squares by the use of the equations:

b_1=\frac{S{xy}}{S_x^2}\\\\b_0=\bar{y}+b_1 \bar{x}

For the data provided you have to:

S_{xy}=\frac{\sum {(x_i-\bar x)(y_i-\bar y)}}{n-1}=3.25\\\\S_x^2=\frac{\sum {(x_i-\bar x)^2}}{n-1}=2.5\\\\\bar y=5.4, thus:

b_1=\frac{3.25}{2,5}=1.3\\\\b_0=5.4+1.3(3.0)=9.3

the equation of the least-squares line for the data is:

Y=9.3+1.3x

8 0
3 years ago
Read 2 more answers
Which number is equivalent to –(–6)?<br><br> –6 <br> 6 <br> 6 <br> –6
mr_godi [17]

Answer:

6

Step-by-step explanation:

If minus stands before parenthesis the sign in the parenthesis changes to the opposite

4 0
3 years ago
Read 2 more answers
Surface area of a triangular prism
Sever21 [200]
Surface area is 240 in^2
6 0
3 years ago
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