A dilation has center (0, 0). Find the image of each point for the given scale factor. P(−3,5);D1(P)A. (6,−2)B. (−2,6)C. (−3,5)D
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<h2>The missing measures of the angles are:</h2>
<u>Given</u>:
<em><u>Note the following:</u></em>
- An equilateral triangle has all its three angles equal to each other. Each angle =
.
- This implies that, since
is equilateral, therefore,
- Base angles of an isosceles triangle are congruent to each other.
- This implies that, since
is isosceles, therefore,
Applying the above stated, let's find the measure of each angle:
- Find
(an angle in an equilateral triangle equals 60 degrees)
- Find
- Find
and
(base angles of isosceles triangle WZY)
(base angles of isosceles triangle are congruent)
Therefore,
- Find
Substitute
The missing measures of the angles are:
Learn more here:
Answer: About 3.06
Step-by-step explanation:
We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.
Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.
cos(θ) =
cos(40) =
0.766 ≈
3.06 ≈ x
x ≈ 3.06
Have you never added 2-digit numbers?
35 +27 = (30 +20) +(5 +7) = 50 +12 = 62
35/100 +27/100 = (35 +27)/100 = 62/100
0.35 +0.27 = 0.62
The basic idea, taught in 3rd grade, is to line up the decimal points of the numbers, add enough zeros on the right to make the numbers all have the same number of digits to the right of the decimal point, then add in the usual way. The sum has the decimal point aligned with the rest of the numbers.
35 +27 = (30 +20) +(5 +7) = 50 +12 = 62
35/100 +27/100 = (35 +27)/100 = 62/100
0.35 +0.27 = 0.62
The basic idea, taught in 3rd grade, is to line up the decimal points of the numbers, add enough zeros on the right to make the numbers all have the same number of digits to the right of the decimal point, then add in the usual way. The sum has the decimal point aligned with the rest of the numbers.