Answer:
Arc DB = 146
x = 5
Step-by-step explanation:
Remark
The relationship between the large arc, the small arc and the intersecting angle is
1/2 (large arc - small arc) = intersecting angle.
Givens
Large arc = 25x + 21
Small arc = 96
5x
Solution
1/2*(25x + 21 - 96) = 5x*2 Multiply both sides by 2
25x + 21 - 96 = 10 x Combine
25x - 75 = 10x Subtract 25x from both sides
-75 = 10x - 25x
-15x = -75
x = 5
DB = 25x + 21
DB = 25*5 + 21
DB = 125 + 21
DB = 146
Tell me if this is not in the choices.
Answer:
x= -4
Step-by-step explanation:
∠LMP + ∠PMN= 180° (adj. ∠s on a str. line)
-16x +13 -20x +23= 180
bring x term to 1 side, constant to the other:
-36x= 180 -13 -23
Simplify:
-36x= 144
x= 144 ÷ (-36)
x= -4
*The sum of the angles on a straight line is 180°
Let's look at the corresponding ratios:
And we see that the three aren't equal.
Hence, $\Delta ABC$ and $\Delta EDC$ are not similar.
Answer:
Kevin is 6
Step-by-step explanation:
Let k represent Kevin's age now. Then Brendon's age now is (k-3). Two years ago the relationship of their ages was ...
k-2 = 4((k-3) -2)
k -2 = 4k -20 . . . . . eliminate parentheses, collect terms
3k = 18 . . . . . . . . . . add 20-k
k = 6 . . . . . . . . . . . . divide by 3
Kevin is 6 now.
Answer:
x = 3 or x = 7
Step-by-step explanation:
X² - 8x + 14 = 2x - 7
x² - 8x + 14 - 2x + 7 = 0
Now we have a quadratic equation ;
x² - 10x + 21 = 0
-3 and - 7 gives a sum of - 10 and a product of 21
x² - 3x - 7x + 21 = 0
x(x - 3) - 7(x - 3) = 0
(x - 3) = 0 or (x - 7) = 0
x = 3 or x = 7
