Answer:
15/17
Step-by-step explanation:
SOH-CAH-TOA
Sine is the ratio of the length of the side opposite to the angle to the hypotenuse of the right triangle.
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>
Answer:
so you would actually multiply 32 x 15=480 then subtract 480 - 384= it would have 96 miles left. then divide 96/32= 3
so your answer would be 3 gallons left
Step-by-step explanation:
Answer:
5r + 2p + 6
Step-by-step explanation:
= 4r + 9 + r + 2p - 3
= 4r + r + 2p + 9 - 3
= 5r + 2p + 6
