Answer:
60 degrees
Step-by-step explanation:
Restructured question:
The measure of two opposite interior angles of a triangle are x−14 and x+4. The exterior angle of the triangle measures 3x-45 . Solve for the measure of the exterior angle.
First you must know that the sum of interior angle of a triangle is equal to the exterior angle
Interior angles = x−14 and x+4
Sum of interior angles = x-14 + x + 4
Sum of interior angles = 2x - 10
Exterior angle = 3x - 45
Equating both:
2x - 10 = 3x - 45
Collect like terms;
2x - 3x = -45 + 10
-x = -35
x = 35
Get the exterior angle:
Exterior angle = 3x - 45
Exterior angle = 3(35) - 45
Exterior angle = 105 - 45
Exterior angle = 60
Hence the measure of the exterior angle is 60 degrees
<em>Note that the functions of the interior and exterior angles are assumed. Same calculation can be employed for any function given</em>
housing: 900/4500 = 0.2 = 20%
transportation: 650 / 4500 = 0.14 = 14%
utilities: 120/4500 = 0.026 = 2.6% ( round to 3% maybe)
food: 475/4500 = 0.105 = 10.5% (round to 11% maybe)
savings: 1600 / 4500 = 0.355 = 35.5% (round to 36% maybe)
Student Loan: 270 / 4500 = 0.06 = 6%
Other expenses: 485 / 4500 = 0.107 = 10.7% (round to 11% maybe)
You didn't say if they needed to be rounded so I gave you the options on the ones that may need it.
Answer:
2 1/3
Step-by-step explanation:
1 3/4 is equivalent to 7/4
1 1/3 is equivalent to 4/3
7/ 4 x 4/3
reduce with greatest common factor so the two 4 are out (show a line crossing out the top and bottom 4 )
now you're left with 7 x 1/3 = 7/3
7/3 = 2 1/3
Answer:
f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola.
Step-by-step explanation:
