Answer:




Step-by-step explanation:
Given:

bisects angle BAC

Triangle ABC is isosceles triangle, because
Angles adjacent to the base of isosceles triangle ABC are congruent.
Hence,

The sum of the measures of all interior angles is 180°, so,

Since
bisects angle BAC, angles BAD and CAD are congruent by definition of angle bisector. So,

AD ia angle bisector in isosceles triangle drawn to the base, so it is the height. Thus, AD and BC are perpendicular. So,

Answer:

Step-by-step explanation:
Given
Represent f(x) as follows:

Transformations:
Horizontally shifted right by a
Reflected across x axis
Vertically shifted down by b
Taking the transformations one after the other.
Horizontally shifted right by a
When a function is shifted right, the resulting function is:

Reflected across x axis
Here, the x axis remains unaltered while the y axis is negated

becomes

Vertically shifted down by b
When a function is shifted down by b, the resulting function is:

i.e, subtract b from the function (f(x) or y, as the case may be)
So, we have:

Represent f"' with g(x)

<h3>
Answer = 3:1</h3>
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Work Shown
45 girls : 15 boys
45/15 girls : 15/15 boys .... divide both parts by 15
3 girls : 1 boy
This tells us there are three times as many girls as there are boys.
We write this as the ratio 3 : 1. The order of the terms is important. We cannot say 1:3 since that would imply there are more boys than girls, but it's the other way around.
Answer: 
Step-by-step explanation:
Given
The Medicare tax rate is 1.45%
The wages of a person is $1738
The amount which is withheld from the person paycheck is
Answer:
523.6
Step-by-step explanation:
Following the calculation, and 3.14 for pi, the answer would be 523.6