Answer:
183/25 is an equivalent fraction form for decimal 7.32
Step-by-step explanation:
Answer:
=================
Use the intersecting chords theorem, according to which, t<em>he products of the lengths of the line segments on each chord are equal,</em>
<em>or</em>
Substitute the lengths and solve for x:
- x*2x = 6*10
- 2x² = 60
- x² = 30
- x = √30
The matching answer choice is A.
b. Every 24 minutes
Step-by-step explanation:
A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes.
The first step is to:
Find and list multiples of each time each neon sign blinks.
This means, we find the Multiples of 6 and 8
Multiples of 6:
6, 12, 18, 24, 30, 36
Multiples of 8:
8, 16, 24, 32, 40
The first and common multiple of 6 and 8.
Therefore, the Least common multiple [LCM(6, 8) ] = 24
Hence, they often blink at the same time every 24 minutes.
Therefore, option b.Every 24 minutes is correct.
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Answer:
z' = 2iz +11 -2i
Step-by-step explanation:
Dilation multiplies each point by the scale factor. Rotation by 90° CCW is equivalent to multiplication by i.
When the center is not the origin, the transformation is applied to the difference from the center, then the result is added to the center.
z' = 2i(z -(3+4i)) + (3+4i)
Simplifying gives ...
z' = 2iz -6i +8 +3 +4i
z' = 2iz +11 -2i
_____
<em>Check</em>
For example, consider the point 1 unit east of the center of dilation/rotation. That point is z = 4+4i. Applying the transformation moves this point to ...
z' = 2i(4 +4i) +11 -2i = 8i -8 +11 -2i
z' = 3 +6i . . . . . 2 units north of the center of dilation/rotation
This is where it is expected to be after dilation by a scale factor of 2 and rotation 90° CCW.
Question 1:
Find the last angle to make things easier.
The sum of all angles in a triangle is 180
180 - 58 - 61 = 61
Angle F = 61
We have an isosceles triangle where FD = ED
That's one of your answer choices.
The third answer choice is your answer.
Question 2:
It doesn't matter if these two triangles aren't congruent.
Imagine that the dividing line suddenly disappeared.
You would have an isosceles triangle.
That means 5x = 3x + 28
Solve that equation
5x = 3x + 28
Subtract both sides by 3x
2x = 28
Divide both sides by 2
x = 14
The answer is the first choice.
Have an awesome day! :)
