If you use the SAS theorem, you can prove the triangles are congruent. Due to vertical angles, we have one angle, and we know one side is congruent. In order to prove these triangles are simillar, we need another side
Step-by-step explanation:
Assuming the readable scores are:
100, 82, 95, __ , 90, 81, 75, 83, __
We know the mean (or average) is 85, so:
85 = (100 + 82 + 95 + x + 90 + 81 + 75 + 83 + y) / 9
765 = 606 + x + y
159 = x + y
We know the lowest score is 75, so x and y must be at least 76. Possible answers are:
76 and 83
77 and 82
78 and 81
79 and 80
80 and 79
81 and 78
82 and 77
83 and 76
Answer:
The value of x = 12.
Step-by-step explanation:
We know that two angles are termed as supplementary when the sum of the measure of their angles is 180°.
We also know that a straight line angle measures 180°.
It is clear that the angles 72° and 9x° line on a straight line. Thus, the sum of the measure of their angles is 180°.
Therefore,
9x° + 72° = 180°
9x° = 180° - 72°
9x° = 108
divide both sides by 9
9x/9 = 108/9
x = 12
Therefore, the value of x = 12.
Answer:
x = –4
Step-by-step explanation:
x = –koef x / (2•koef x²)
Answer:
x² - 10x + 34
Step-by-step explanation:
given the roots are x = 5 ± 3i then the factors are
(x - (5 + 3i))(x - (5 - 3i))
= (x - 5)² - 9i² ← expand (x - 5)²
= x² - 10 x + 25 + 9 → [ i² = - 1 ]
= x² - 10x + 34
the missing term is 10x
