These two angles are supplementary, meaning that there sum is 180 degrees. To solve this make a formula:
97 + x = 180
Subtract 97 to both sides to isolate x
97 - 97 + x = 180 - 97
x = 83
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer: 6x- 2
Explanation: 2 less means (- 2) a number times 6 can be written as 6x
Hi!
Rules for solving 30-60-90 triangles are as follows:
* The hypotenuse is double the short leg.
* The short leg times √3 is the long leg
To solve then, we divide 4√21 by √3 and get 4√7. That is x, and to get y we multiply by 2. That is 8√7.
Hope this helps! :D
Answer:
~1.8 mile
Step-by-step explanation:
Michael lives at the closest point to the school (the origin) on Maple Street, which can be represented by the line y = 2x – 4.
This means Michael's house will be the intersection point of line y1 (y = 2x - 4) and line y2 that is perpendicular to y1 and passes the origin.
Denote equation of y2 is y = ax + b,
with a is equal to negative reciprocal of 2 => a = -1/2
y2 pass the origin (0, 0) => b = 0
=> Equation of y2:
y = (-1/2)x
To find location of Michael's house, we get y1 = y2 or:
2x - 4 = (-1/2)x
<=> 4x - 8 = -x
<=> 5x = 8
<=> x = 8/5
=> y = (-1/2)x = (-1/2)(8/5) = -4/5
=> Location of Michael' house: (x, y) = (8/5, -4/5)
Distance from Michael's house to school is:
D = sqrt(x^2 + y^2) = sqrt[(8/5)^2 + (-4/5)^2) = ~1.8 (mile)
