Answer:
Both answers are correct, depending on the angle taken as reference
Step-by-step explanation:
we know that
In a right triangle
The slope ratio of the triangle is equal to the function tangent
The function tangent in a right triangle is equal to the opposite side to the angle divided by the adjacent side to the angle
so
-----> Ben's ratio
and
------> Carlissa's ratio
therefore
The slope will depend on the angle taken as a reference
so
Both answers are correct, depending on the angle taken as reference.
Answer:
no solution
Step-by-step explanation:
5 + 2(3 + 2x) = x + 3(x + 1) ← distribute parenthesis on both sides
5 + 6 + 4x = x + 3x + 3 , simplify both sides
11 + 4x = 4x + 3 ( subtract 11 from both sides )
4x = 4x - 8 ( subtract 4x from both sides )
0 = - 8 ← false statement
This indicates the equation has no solution
The following answers are,
11. 60°
12. ∠ABC
13. 60°
14. Supplementary
Step-by-step explanation:
11. In ABC triangle,
∠BAC = m∠1 = 30° and ∠ACB = 90°
∠BAC + ∠ABC + ∠ACB = 180°
or, ∠ABC = 180°- (30°+90°)
=60°
12. ∠1 and ∠ABC are complementary angles.
If the sum of two angles are 90°, then the angles are called complementary angle to each other.
13. In ACD triangle,
∠CAD = m∠2 = 30° and ∠ACD = 90°
∠CAD + ∠ACD + ∠ADC = 180°
or, ∠ADC = 180°- (30°+90°)
=60°
Again, ∠ADC + ∠ADE = 180°
or, ∠ADE = 180° - 60° = 120°
14. ∠ADC and ∠ADE are adjacent and supplementary.
3 notebooks and 16 pencils with $0.06 left over
