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>
Answer:
Gradient of A: 2
Gradient of B: -1
Step-by-step explanation:
Gradient = change in y/change in x
✔️Gradient of A using two points on line A, (2, 5) and (0, 1):
Gradient = (1 - 5)/(0 - 2) = -4/-2
Simplify
Gradient of A = 2
✔️Gradient of B using two points on line B, (0, 5) and (5, 0):
Gradient = (0 - 5)/(5 - 0) = -5/5
Simplify
Gradient of B = -1
The value of 18x + 9∆x - 7 based on the limit given will be 18x - 7.
<h3>How to calculate the value?</h3>
From the information given, it should be noted that we simply want to calculate the value of x.
This will be:
18x + 9∆x - 7
It was stated that ∆x = 0
Therefore, we'll put this into the equation.
This will be:
18x + 9∆x - 7
= 18x + 9(0) - 7
= 18x -7
Learn more about limit on:
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<u>Answer:</u>
Perimeter = 20 units
x = 120°
<u>Step-by-step explanation:</u>
We are given a triangle ABC with known side lengths for all three sides and an inscribed circle.
We are to find the perimeter of triangle ABC and the value of x.
Perimeter of triangle ABC = 2 + 2 + 5 + 5 + 3 + 3 = 20 units
The kite shape at the end is a quadrilateral which has a sum of angles of 360 degrees.
Two out of four angles are right angles and one is 60 so we can find the value of x.
x = 360 - (90 + 90 + 60) = 120°
Answer:
y=-2x^2+10x-12
Step-by-step explanation:
graph is shown in image below
