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°
There will be 9. Hope this helped! :)
Answer:
The correct answer is:
There is a positive correlation because women's weight tend to increase when height increases (D)
Step-by-step explanation:
The units that might be used to measure each variable are:
Height : meter (m) or foot (plural, feet) (Ft.)
weight : kilograms (kg) or Pounds (lb)
A positive correlation is said to occur between two variables when they both move in the same direction, that is, when they both increase or decrease, while a negative correlation occurs when the movement is not in tandem, i.e, as one increases, the other decreases. The relationship between height and weight is a positive correlation because, an increase in height, which is mainly as a result of elongation of bones, leads to an accumulated increase in total body mass, which in turn increases the body weight.
7x/2 < 5
7x/2 * 2 < 5 * 2
7x < 10
7x71 < 10/7
x < 10/7
Answer:
$ 3199.0
Step-by-step explanation:
Let the number of shares of ABC = x
and XYZ = y
writing each as a linear equation
32 x + 23 y = 10100 equation 1
1.2 x + 1.4 y = 540
1.4 y = 540 - 1.2 x
y = ( 540 - 1.2 x) / 1.4
substitute for y in equation 1
32 x + 23( 540 - 1.2 x) / 1.4 = 10100
32 x + 8871.43 - 19.71 x = 10100
collect the like terms
32 x - 19.71 x = 10100 - 8871.43
12.29 x = 1228.57
x = 1228.57 / 12.29 = 99.97
the amount of money to be invested in ABC shares = 99.97 × $ 32 = $ 3199.0
