Answer:
<h2>107 and 73</h2><h2 />Step-by-step explanation:
supplementary angle
7x + 9 + 5x + 3 = 180
12x = 180 - 3 - 9
x = 168 / 12
x = 14
plugin x=14 into the equation
= 7x + 9
= 7(14) + 9
= 107°
plugin x=14 into the equation
= 5x + 3
= 5(14) + 3
= 73°
Answer:
35 quizzes
Step-by-step explanation:
We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.
We do this by using the formula which describes the number of ways we can choose
objects given
possible choices. So, if
and
, then:
Hence, the teacher can make 35 different geometry quizzes.
<u>Answer:</u>
are two roots of equation
<u>Solution:</u>
Need to solve given equation using quadratic formula.
General form of quadratic equation is
And quadratic formula for getting roots of quadratic equation is
In our case b = -1 , a = -3 and c = -3
Calculating roots of the equation we get
Since is equal to -35, which is less than zero, so given equation will not have real roots and have complex roots.