Answer:
<ABC = 49°
Step-by-step explanation:
The sum of two supplementary angle is 180. From the diagram, the two angles are 3x+4 and 8x+11. IF this two angles are supplementary then;
3x+4+8x+11 = 180
11x+15= 180
11x = 180-15
11x = 165
x = 165/11
x = 15
From the attached diagram, <ABC = 3x+4
<ABC = 3(15)+4
<ABC = 45+4
<ABC = 49°
Remember that to solve an equation we need to isolate the variable in one side. To do it we can perform any mathematical operations we want as long as we perform the operations to both sides of the equation.
Let's solve our equation step by step
Step 1. Subtract from both sides of the equation
Step 2. Subtract 3 from both sides of the equation
Step 3. Divide both sides of the equation by
We can conclude that the next step is: subtract 3 from both sides of the equation.
Answer:
C
Step-by-step explanation:
Using the sine ratio and the exact value sin45° = , then
sin45° = =
=
( cross- multiply )
a = 6
Using the tangent ratio and the exact value tan45° = 1 , then
tan45° = =
= 1 , so
b = 6