Opposite angles of an inscribed quadrilateral are supplementary, that is, they add up to 180 degrees. For this quadrilateral, Q + A = 180, and similarly, U + D = 180. Since we are given U = 106, therefore:
106 + D = 180
D = 74 degrees.
Answer:
2a-3 and a+4
Step-by-step explanation:
Given the equation
2a²+8a -15 = 3a - 3
We are to find one of its factors
Equate the expression to zero
2a²+8a -15 = 3a - 3
2a²+8a -15 - 3a + 3 = 0
Collect the like terms
2a²+8a - 3a - 15 + 3= 0
2a²+5a - 12= 0
Factorize
2a²+8a-3a - 12= 0
2a(a+4)-3(a+4) = 0
(2a-3)(a+4) = 0
Hence the factors are 2a-3 and a+4

<u>Let us assume that:</u>

We can also write it as:

Squaring both sides, we get:


By splitting the middle term:



<u>Therefore:</u>


<u>But x cannot be negative. </u>

Therefore, the value of the expression is 3.

Given:

We can also write it as:






This pattern will continue.

I hope this helps you
2.(7R-15+2R-3/2+7R)-4
2. (16R-33/2)-4
2.16R-2.33/2-4
32R-33-4
32R-37