<h3>
Answer: Choice E) 1</h3>
Work Shown:

Therefore,
is an identity for all values of β for which the original expression is defined. I used the difference of squares rule for the 2nd step. Then I applied the pythagorean trig identity for the 3rd step.
For this case we are going to define the original coordinates:
(x, y): original coordinates.
We apply the transformation:
(x, y) -------> (-x, y + k)
We have:
-x: reflection on the y axis.
y + k: translation k units up.
Answer:
The point was reflected over the y-axis and translated up.
Answer:
markup price = $25.31
retail price = $59.06
Step-by-step explanation:
Markup price is 75% OF 33.75
Retail price is original price (33.75) PLUS the markup price (to be found)
Firstly, converting a percentage to a decimal is simple. We simply divide by 100. So:
75% = 75/100 = 0.75
Now, to find markup, we multiply:
33.75 * 0.75 = $25.31
Now, the retail price is SUM of original and markup, that would be:
retail price = 33.75 + 25.31 = $59.06
Thus,
markup price = $25.31
retail price = $59.06
Answer:
Angle X=30°
2x=60°
Step-by-step explanation:
X+2X=90°
3x=90°
X=90/3
X=30°
Angle X=30°
2x=60°
<h2>
Answer:</h2>
Triangles ΔADM and ΔUTM are congruent by SAS postulate.
<h2>
Step-by-step explanation:</h2>
We say that two triangles are congruent<em> </em> <em>if and only if </em> they have exactly the same three sides and exactly the same three angles. So if you can turn one triangle into the other by moving, rotating or flipping, then they are definitively congruent. The symbol we use for expressing congruency is ≅. Since triangles ΔADM and ΔUTM have two matching sides and a matching angle between them, then they are congruent by SAS Postulate (Side Angle Side). Then:
ΔADM ≅ ΔUTM