Answer:
1) b 243
Sorry, I couldn't figure out the other two..
Step-by-step explanation:
Before we begin, let's identify what kind of angles these are and are they related in any way?
These angles are both acute and they are both corresponding angles.
Corresponding angles are equal to each other, and we can use this fact to our advantage.
Since they are equal to each other, we can set the equations of 1 and 2 equal to each other. Like so,
1 = 2
83 - 2x = 92 - 3x
Now, we can solve for X by isolating it on one side.
83 - 2x = 92 - 3x
Add 3x to each side: (This basically moves the X on the right side to the left.)
83 - 2x + 3x = 92 - 3x + 3x
83 + x = 92
Subtract 83 on each side to isolate the X.
83 + x - 83 = 92 - 83
x = 92 - 83
x = 9
Therefore, X equals 9. To check our work, we can substitute X for 9.
83 - 2(9) = 92 - 3(9)
83 - 18 = 92 - 27
65 = 65 -
TRUE
So to conclude, Angle 1 is 65 degrees, Angle 2 is 65 degrees, and X equals 9.
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God bless!
The debt ratio on the Murk is 45%
<span>The debt ratio on the Mini is 90% </span>
<span>The average between the two is 63% </span>
<span>Payoff are estimates only. Paying $375/mo with the highest interest rate first will have the Mini @ $50/mo paid off by Jul 2016 and the Murk @ $326/mo paid off by Sep 2016. What you'll do is pay the minimum on the lowest interest rate card and apply the remainder of the $375 budget to the highest interest rate card. When the Mini is paid off, combine that payment with the Murk and continue wit the $375 payments.</span>
Answer & Explanation:
To find the direction cosines of the vector a is need to divided the corresponding coordinate of vector by the length of the vector. The coordinates of the unit vector is equal to its direction cosines. Property of direction cosines. The sum of the squares of the direction cosines is equal to one.