Answer:
Figure or Diagram Mandatory
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Answer:
y - 5 = 3(x - 4)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = 3
Point (4, 5)
<u>Step 2: Write equation</u>
Point-Slope Form: y - 5 = 3(x - 4)
Answer:
The value of DC is 66.34.
Step-by-step explanation:
The triangles ABC and DCA are right angled triangles.
The straight line AC is a bisector for angles C and A.
The measure of ∠C is 30°.
Then the measure of angles BCA and ACD will be 15° each.
The measure of angle DAB is 150°.
Then the measure of angles DAC and BAC will be 75° each.
Now consider the right angled triangle ABC.
The measure of side AC is:

Consider the right angled triangle DCA.
The angle DAC measure 75°.
Using the trigonometric identities compute the value of Perpendicular DC as follows:

Thus, the value of DC is 66.34.
Answer:
∠AOB = 120°
∠BOC = 140°
∠BOD = 140°
Step-by-step explanation:
First, find X !
Full circle is 360°
360 = (2x + 80) + (5x + 40) + 4x + x
360 = 12x + 120
240 = 12x
x = 20°
Substitute the X
∠AOB ≡ (2x + 80) =
(2(20) + 80) = 120°
∠BOC ≡ (5x + 40) =
(5(20) + 40) = 140°
∠BOD = ∠AOB + ∠DOA ≡
120 + x = 120 + 20 = 140°