Arc WTS is twice the measurement of angle R.
So arc WTS equals 2R
Arc WRS is twice the measurement of Angle T.
So arc WRS equals 2T
The sum of the two arcs WTS and WRS equal 360 degrees,
So now we have 2R + 2T = 360.
Divide all terms by 2:
R + T = 180
The sum of supplementary angles equal 180 degrees, therefore angles T and R are supplementary.
Answer:
86
Step-by-step explanation:
The sum of the angles in a quadrilateral is 360 degrees
since EF is parallel to HG
m < E + m< H =180
y + 10 + 2y -31 =180
-21+ 3y= 180
3y = 180 + 21
3y = 201
y=67
m <E = 67 + 10 =77
m < F = 2*67 -40= 134 -40=94
m < H = 2*67-31 = 134 -31 = 103
m < G = 360 - (m<E+ m < F + m < H)
= 360 - ( 77+94+103)
= 360- 274
=86
Answer:
F(-7,3) -> F'(-7,-3)
G(2,6) -> G'(2,-6)
H(3,5) ->H'(3,-5)
Step-by-step explanation:
If you are taking point (a,b) and reflecting it across the x-axis (the horizontal axis), your x value is going to stay the same because you want the point on the same vertical line as (a,b). The y-coordinate is going to be opposite because you want a reflection and the opposite of b will this give you the same distance from the x-axis as b.
So the transformation is this: (a,b) -> (a,-b).
All this means is leave x the same and take the opposite of y.
F(-7,3) -> F'(-7,-3)
G(2,6) -> G'(2,-6)
H(3,5) ->H'(3,-5)
Answer:
a: We can't determine this from the given information
b: 98%
Step-by-step explanation:
For a:
n = 42
The confidence interval has equal time on each side of µ, so we can add the two end points and divide them by 2 to find the middle of the interaval:
7.4 + 8.6 = 16
16/2 = 8
Now subtract 7.4 from 8 to find the distance from the mean to the end of the interval
8 - 7.4 = 0.6
So the sample mean, plus the calculated error was 0.6 minutes.
We don't have a way of calculating the sample mean with the given information. We could only find the sample standard deviation and the variance.
For b:
We have:
E = 0.6
s = 1.606
n = 42
See attached photo for the calculation of this value
The value is 2.421.
Using a sample size of 42, our degrees of freedom are 41. Use the t-distribution chart to see which level of confidence has 2.421 under it.
The level of confidence is: 98%
We need 41 degrees of freedom, but the chart has only 40, then 45. We can see that 40 has 2.423, and the values go down as the degrees of freedom go up, so 41 will correlate to 2.421
