Sherry works 40 hours a week as an office manager. If she made $48,360 last year, how much was she paid per hour?
2 answers:
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Answer:
1 and 2.
Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.
- D= (-2, 2), E = (-1, -2), F = (-4, -1)
3.
As per definition, midsegment is parallel to a side.
Parallel lines have same slope.
<u>Find slopes of FD and CB and compare. </u>
- m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2
- m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2
- As we see the slopes are same
<u>Find the slopes of FE and AB and compare.</u>
- m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3
- m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3
- Slopes are same
<u>Find the slopes of DE and AC and compare.</u>
- m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4
- m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4
- Slopes are same
4.
As per definition, midsegment is half the parallel side.
<u>We'll show that FD = 1/2CB</u>
- FD =
=
=
- CB =
=
= 2
- As we see FD = 1/2CB
<u>FE = 1/2AB</u>
- FE =
=
=
- AB =
=
= 2
- As we see FE = 1/2AB
<u>DE = 1/2AC</u>
- DE =
=
=
- AC =
=
= 2
- As we see DE = 1/2AC
Answer:
she turned 82 degrees.
Step-by-step explanation:
Suppose, the unknown angle is A
Now, we know that according to the sine law ,
the ratio of side of a triangle and the sine value of the angle opposite to that side is same . It says that,
if a triangle has 3 sides a,b and c and 3 angles A,B,and C and they are opposite to the sides respectively then,
a/SinA=b/sinB=c/SinC
check the image below in attachment.
From the diagram at attachment.
here , angle A is required.
given, angle C= 30
side b=89 m and c= 48 m
sin law says a/sinA=b/sinB=c/sinC
first we take , b/sinB=c/sinC
or, 89/sinB= 48/sin30
or, sinB=( 89×0.5)/48 =0.92
or, B=68
we know, in every triangle , the sum of 3 angles of a triangle is 180
then, A+B+C=180
or, A=180-B-C= 180 - ( B+C)
=180-(68+30)
or, A = 82
therefore , the required angle is 82 degree.
she turned 82 degrees.
