Problem kevin is 3 years older tan daniel. two years ago, kevin was 4 times as old as daniel. how old is daniel now?
1 answer:
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Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
The rest of the question is the attached figure.
It is required to find the measure of the arc CD in degrees.
as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
∠APE and ∠BPE are supplementary angles
So, ∠APE + ∠BPE = 180°
∠BPE + 90 = 180°
∴ ∠BPE = 180 -90 = 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:
Area of the rhombus ABCD = 16 square units
Step-by-step explanation:
Area of a rhombus =
From the graph attached,
Diagonal 1 = Distance between the points A and C
Diagonal 2 = Distance between the points B and D
Length of a segment between (x₁, y₁) and (x₂, y₂) =
Diagonal 1 (AC) = = 4 units
Diagonal 2(BD) = = 8 units
Now area of the rhombus ABCD =
=
= 16 units²
Therefore, area of the given rhombus is 16 units².