Answer:
x=60°
Step-by-step explanation:
angle 135° and (2x+15)° are corresponding and thus are equal
Therefore (2x+15)°=135°
2x=135-15
2x=120°
X=60°
Since it's a right triangle you can use the Pythagorean theorem or Trig (Soh Cah Toa).
I'll just use the Pythagorean theorem : a² + b² = c²
a = 9
b = x
c = 18
9² + x² = 18²
81 + x² = 324
x² = 324 - 81
x² = 243
x = √(243)
factor 243 to find a perfect square
x = √(3*81)
x = 9√(3)<u />
Answer:
y = -2x + 5
Step-by-step explanation:
Slope-intercept form: y = mx + b
The slope of the line, m, is -2 because the line shows a negative trend and moves right 1 unit every time a point moves down 2 units.
The y-intercept, b, is 5 because the line crosses that number once on the y-axis.
Answer: No. Kyle will arrive late
Step-by-step explanation:
The only speed limit is 50 miles per hour.
Kyle must cover 130 miles.
His travel time = 130/50 = 2.6
2 hours + (0.6 of 60 minutes )
2 hours + (36 minutes)
i.e kyle needs 2hours 36 minutes to cover 130 miles
And since the baseball starts in 2 hours, kyle will be late. Thus, the answer is No
<h3>
Answer: -6, 7, -8</h3>
Start with the sequence {1, 2, 3, 4, 5, 6, 7, 8, ...}
Then change the sign of every other term so you'll have the first term positive, the second term negative, and so on.
That updates to {1, -2, 3, -4, 5, -6, 7, -8, ...}
Every odd term (1,3,5,..) is positive while every even term (-2,-4,-6) is negative.
