Part a: The value of x is 33°
Part b: The measure of each base angle is 69°
Explanation:
It is given that the vertex angle of an isosceles triangle measures 42°.
The base angle in the triangle has a measure of 
Part a: To determine the value of x
Since, in an isosceles triangle the base angles are always equal.
Thus, the three angles in an isosceles triangle add up to 180°
Hence, we have,





Thus, the value of x is 33°
Part b: To find the measure of each base angle.
Base angle = 
Substituting
, we get,



Thus, the measure of each base angle is 69°
Let i = sqrt(-1) which is the conventional notation to set up an imaginary number
The idea is to break up the radicand, aka stuff under the square root, to simplify
sqrt(-8) = sqrt(-1*4*2)
sqrt(-8) = sqrt(-1)*sqrt(4)*sqrt(2)
sqrt(-8) = i*2*sqrt(2)
sqrt(-8) = 2i*sqrt(2)
<h3>Answer is choice A</h3>
Answer:
Step-by-step explanation:
A) 5/7
B) 12/8
c) 6/6
Answer:No. A strong correlation does not imply causation.
Step-by-step explanation:
Cause and effect relationship is not explained by correlations. A cause and effect relationship can only be established by carrying out carefully controlled experiments.
Hence, a strong correlation between the the intake of soda and accidents does not necessarily imply that soda intake causes accident.
A lurking variable in this study may be the speed of the drivers. A lurking variable is not controlled but significantly impacts results obtained from the study.
Since the speed of the drivers is not strictly controlled, it may just be a lurking variable.
X + 5x - 13 = 140
6x - 13 = 140
6x = 153
x = 25.5
5(25.5) -13 = 114.5
CHECK: 25.5 + 114.5 = 140