Answer:
65°
Step-by-step explanation:
<3 + <6 = 180 because they are same side interior angles
115 + <6 = 180
Subtract 115 from each side
115-115 +<6 = 180 -115
<6 = 65
Answer:
68
Step-by-step explanation:
For angle A, 3 is the adjacent leg. 8 is the hypotenuse.
The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
We know the cosine of angle A equals 0.375. We take the inverse cosine of 0.375 to find the measure of the angle.
DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
<h3>
Congruent shape</h3>
Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.
Given that DE = AB and BC = EF.
In right triangle DEF, using Pythagoras:
DF² = DE² + EF²
Also, In right triangle ABC, using Pythagoras:
AC² = AB² + BC²
But DE = AB and EF = BC, hence:
AC² = DE² + EF²
AC² = DF²
Taking square root of both sides, hence:
AC = DF
Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
Find out more on Congruent shape at: brainly.com/question/11329400
Answer: the waiter earns $7 for each hour
Step-by-step explanation:
You take away the tips from the total, then divide by the 6 hours of work. You get $7.
