Answer:
∠1 = 142°
<u>reason:</u> angles 1 and 2 are supplementary so they equal 180. 180-38 is 142
∠3 = 38°
<u>reason:</u> angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.
∠4 = 142°
<u>reason:</u> since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142
∠5 = 38°
<u>reason:</u> since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2
∠6 = 142°
<u>reason:</u> for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.
∠8 = 142°
<u>reason:</u> since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also
Step-by-step explanation:
hope this helped you :)
Answer:
The correct option is A
Step-by-step explanation:
Since (1, 3) are the solutions to the function g(x), then
g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3
We know that f(x) is on the same plane and f(1) = 1.
Let's take g(1) = (1 – 1)(1 – 3) = 0
Therefore, when x = 1; f = 1 and g = 0. Hence
g(1) = f(1) – 1
In order words, g(x) could be f(x) – 1.
The correct option is A
2 3/4 is greater then 2 2/3
Answer:

Step-by-step explanation:
we have

Solve the quadratic equation to find the zero's or x-intercepts
Remember that
The x-intercepts are the values of x when the value of y is equal to zero ( water balloon reach the ground)
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
therefore
the solution is 
Answer:
1555 people
Step-by-step explanation:
First, average the votes for polar bears.
(46 + 43 + 49)/3 = 46
Next, make the variable x equal to the estimate of the number of people who will prefer polar bear out of the 3380 people and set up your proportion equation.
x/3380 = 46/100
x = 1554.8
Round to the nearest whole number to get 1555.