Another way to summarize this proof is to say vertical angles are congruent.
<h3>Vertical angles</h3>
Lines are shortest distance between two point and angles are forned from the intersection of two lines.
From the given figure, they are trying to prove that the angles ANR and VNE are equal. Since these angles are formed at the point of intersection, hence another way to summarize this proof is to say vertical angles are congruent.
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Answer:
i)
- <em>DA is diameter and AX is tangent to circle</em>
<u>Your answer is correct</u>
ii)
<u>Given m∠BAX = 42° and ∠DAB is complementary with BAX ⇒ </u>
<u>DC = BC ⇒ intercepted arcs are same ⇒ </u>
<u>mDC = mCB ⇒ mDCB = ∠DAB = 48° ⇒ </u>
- m∠CDB = m∠BDC = 1/2*48 = 24°
iii)
∠CBA
<u>∠CBA is supplementary with ∠ADC as opposite angles of cyclic quadrilateral (∠ADB = ∠BAX = 42°)</u>
- m∠ADC = m∠ADB + m∠CDB = 42° + 24° = 68°
- m∠CBA = 180° - m∠ADC = 180° - 68° = 112°
∠BAE
EA║CB and AB is transversal ⇒ CBA and BAE are supplementary angles:
- m∠BAE = 180° - 112° = 68°
∠DCE
- m∠DCB = 180° - m∠DAB = 180° - 48° = 132°
- m∠BCE = 180° - m∠BAE = 180° - 68° = 112°
- ∠DCE = 132° - 112° = 20°
At the start of the day, there was £129.75. Later, they made more money, so the <span>£145.50. To find the amount of change, you just need to deduct the number 129.75 from 145.50.
145.50 - 129.75 = 15.75
The shop made </span><span>£15.75 in one hour.</span>
The values of the x that satisfies the equation 2x² + 7x +3 = 0 is -1/2 and -3 .
<h3>What is a polynomial function?</h3>
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
2x² + 7x +3 = 0
2x² + 6x + x + 3 = 0
2x (x+3) + 1(x + 3) = 0
(2x + 1)(x + 3) = 0
2x+ 1 = 0 ; x + 3 = 0
x = -1 / 2 ; x = -3
Thus, the values of the x that satisfies the equation 2x² + 7x +3 = 0 is -1/2 and -3 .
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Answer:
Ummm Lilly Are you the one that I was jus talkin too
Step-by-step explanation:
