Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
The two expressions are equivalent because they have the same value regardless of the number of substituted in for y
Answer:
Option B is the right choice.
Step-by-step explanation:
Given:
An are CE and an inscribed angle CBE.
Measure of inscribed angle CBE = 25 °
We have to find the measure of the arc CE.
Concept:
- An inscribed angle is an angle with its vertex on the circle.
- The measure of an inscribed angle is half the measure the intercepted arc.
- Measure of inscribed angle = 1/2 × measure of intercepted arc
.
To find the measure of arc CE.
⇒ 
⇒ 
⇒ 
⇒ 
Measure of intercepted arc CE = 50 degrees.
The measure of arc CE = 50° so, option B is the right choice.
Answer with Step-by-step explanation:
Relationship between rotation and reflection:
In reflection, the pre-image gets flips across the same line.
whereas in rotation, the pre-image get spin around a point.
Rotations can be represented as two reflections i.e. the composition of reflections over two intersecting lines is always equal to rotation of that object.
In rotation, the object will get turned, this is turning some degree either clockwise or anti-clockwise.
Hence, rotation requires spinning and reflection requires flipping.
Answer:
The area is 103.7 cm
Step-by-step explanation:
Multiply the base by the height:
15.25 * 6.8 = 103.7
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