Answer:
y = -2x
Step-by-step explanation:
Answer:
The angle 6 measures 54 degrees
Step-by-step explanation:
Angle 6 is congruent to angle 7 ("-2x+34") as it is an opposite angle in straight line intersection. But angle 6 is congruent to angle 2 (-9x-36) due to the two horizontal lines being parallel. So we can write the following equality to determine the value of x:
-2x + 34 = -9x -36
7x = -70
==> x = -10
Now we can answer the question: the angle 6 is
-2x + 34 = -2(-10)+34 = 54 degrees
Translation then Rotation or Rotation then Translation
We know that,
1. Rotation turns the figure around a point to a certain degree
2. Translation slides the figure in any direction
Now, it is given that the triangles BCD and WXY are congruent by the SSS Theorem.
<h3>What is the SSS Theorem?</h3>
The corresponding three sides of both triangles are equal.
So, the only possible ways for the triangles to be congruent are
I. If we first translate the figure BCD to the right and then rotate it counter-clockwise. i.e. Translation, then rotation.
II. If we first rotate the figure counter-clockwise and then translate the figure BCD to the right. i.e. Rotation, then translation.
Hence, either Translation then Rotation or Rotation then Translation maps BCD onto WXY.
To learn more about the rotation visit:
brainly.com/question/26249005
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Okay, so this is a simple interest calculation, the formula for this is:
A = P(1 + rt) P = Principal, r = interest rate, and t = period of time
Convert time period to decimal:
1/4 = .25
2 3/4 = 2.75
Convert interest rates to decimals.
10.5% = .105
5.9% = .059
Now plug in the variables into the formula and calculate.
A = 7,000(1 + (.105 * .25))
= 7,000(1.02625)
= 7,183.75
A = 1,900(1 + (.059 * 2.75))
= 1,900(1.16225)
= 2,208.275
I There would be 52-4 = 48 cards that are not aces.
The probability of picking a non ace card would be 48 out of 52, which is written as 48/52, which reduces to 12/13