A. If you draw the graphs you will find that B, C and D are all false.
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:
a) 376.66
b) Option 2: No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.
c) 377
d) 40.77%
Step-by-step explanation:
a) 37% of 1018 is;
37/100 × 1018 = 376.66
b) Thus, the result in a above is not a whole number. Thus;
No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.
c) from a above a, we got a value of 376.66.
Now the actual number would be preferably an integer. Thus, actual number is approximately 377.
d) percentage of respondents said that cellular phones are not at all harmful = 415/1018 × 100% = 40.77%
Answer:66
Step-by-step explanation:
The first thing we should know is that a kite has two pairs of adjacent congruent sides, so to find the value of x we are going to set the equations equal to each other. The value of x is 4. After, plugging the value of x into the equations the measure of both angles is 33. Angle TUV is made up of angles TUW, and VUW because of the measure of angle TUV is 66.
10x-7=5x+13
5x=20
x=4
10(4)-7=33
5(4)+13=33