Y = x² + 4x - 5
y = 2x
x² + 4x - 5 = 2x
<u> - 2x - 2x</u>
x² + 2x - 5 = 0
x = <u>-(2) ± √((2)² - 4(1)(-5))</u>
2(1)
x = <u>-2 ± √(4 + 20)</u>
2
x = <u>-2 ± √(24)
</u> 2
x = <u>-2 ± 2√(6)</u>
2
x = -1 ± √(6)
x = -1 + √(6) U x = -1 - √(6)
y = 2x
y = 2(-1 ± √(6))
y = 2(-1) ± 2√(6)
y = -2 ± 2√(6)
(x, y) = (-1 ± √(6), -2 ± 2√(6))
<u />
Answer:
53.3 degrees
Step-by-step explanation:
∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:
DE corresponds to RS
EF corresponds to SQ
DF corresponds to RQ.
Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.
The ratio of their corresponding sides = DE/RS = 6/3 = 2
EG/SQ = 8/4 = 2
DF/RQ = 4/2 = 2.
Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.
Therefore, their corresponding angles would be equal.
Thus, m<Q = m<F
Let's find angle F
m<F = 180 - (98 + 28.7)
m<F = 53.3°
Since <F corresponds to <Q, therefore,
m<Q = 53.3°
When two line cross each othe vertical angles are formed
Answer:
A
Step-by-step explanation:
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