Thx so much 8th grade math is so hard and I’m stuck on like ever question I get
Answer:
C. 132°
Step-by-step explanation:
Based on exterior angle theorem,
(20x + 12) = (9x) + (13x)
Solve for x
20x + 12 = 9x + 13x
20x + 12 = 22x
Subtract 20x from each side
12 = 22x - 20x
12 = 2x
Divide both sides by 2
12/2 = x
x = 6
m<QRS = 20x + 12
Plug in the value of x
m<QRS = 20(6) + 12 = 120 + 12
m<QRS = 132°
Answer:
False
Step-by-step explanation:
40c - 300 = 40c + 200
-300 = 200
false
Answer:
sin θ/2=5√26/26=0.196
Step-by-step explanation:
θ ∈(π,3π/2)
such that
θ/2 ∈(π/2,3π/4)
As a result,
0<sin θ/2<1, and
-1<cos θ/2<0
tan θ/2=sin θ/2/cos θ/2
such that
tan θ/2<0
Let
t=tan θ/2
t<0
By the double angle identity for tangents
2 tan θ/2/1-(tanθ /2)^2 = tanθ
2t/1-t^2=5/12
24t=5 - 5t^2
Solve this quadratic equation for t :
t1=1/5 and
t2= -5
Discard t1 because t is not smaller than 0
Let s= sin θ/2
0<s<1.
By the definition of tangents.
tan θ/2= sin θ/2/ cos θ/2
Apply the Pythagorean Algorithm to express the cosine of θ/2 in terms of s. Note the cos θ/2 is expected to be smaller than zero.
cos θ/2 = -√1-(sin θ/2)^2 = - √1-s^2
Solve for s.
s/-√1-s^2 = -5
s^2=25(1-s^2)
s=√25/26 = 5√26/26
Therefore
sin θ/2=5√26/26=0.196....
Answer:
Step-by-step explanation:
Given that a survey asked, "How many tattoos do you currently have on your body?" Of the 1221 males surveyed, 193 responded that they had at least one tattoo. Of the 1005 females surveyed, 130 responded that they had at least one tattoo.

(two tailed test at 1% significance level)
Difference in proportions = 
Standard error for difference in proportions = 0.0150
Margin of error = 2.58*std error
= 0.0387
99% confidence interval =

Since this confidence interval contains 0 for difference in proporiton we can say that H0 is true.
We are 99% confidence that for samples randomly drawn for large sizes, the males and females have approximately the same proportion.