Answer:
(a) ∠DAB = 59°
(b) ∠A = 135°
(c) ∠A = 99°
Step-by-step explanation:
<u>Theorem</u>: If a quadrilateral is inscribed inside a circle, then the opposite angles of the quadrilateral are SUPPLEMENTARY.
So, here in the given figures:
(1) ∠DCB + ∠DAB = 180° (as opposite angles are supplementary)
⇒∠DAB = 180° - 121° = 59°
or, ∠DAB = 59°
(2) ∠DCB + ∠DAB = 180° (as opposite angles are supplementary)
⇒(3x+6) + (x+2) = 180° or, 4x = 180 - 8 = 172
⇒ x = 172/4 = 43, or x = 43
So, ∠A = (3x+6) = 3(43) + 6 = 135°
(3) (28) + (x) = 180°
or, x = 180 - 28 = 152
So, ∠A = (x- 36) = 135 - 36 = 99°
(4)
The answer you are looking for is 63<span />
Answer:-29/3
Step-by-step explanation:
distribute the left side: 2x-6 = 5x+23
combine like terms: -3x=29
divide by -3 on both sides: x= -29/3
Well when you look at equations, they are all built from y=mx+b. Y and x are a point on that line, m is your slope, and b is the y intercept. So when you look at two equations, take the absolute value of m to find which is steeper. Take these two examples.
y=3x+4
y=-7x+4
Take the absolute value of 3 and -7
|3|=3
|-7|=7
7 is the larger number so y=-7x+4 has a steeper slope.
Answer:
39270 ways
Step-by-step explanation:
35 P 3 = 39270
