Answer:
it is 8/5
Step-by-step explanation:
We know that the right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees.
<u>To find x:</u>
(10x - 20) + (6x + 8) = 180
16x - 12 = 180
+12 +12
16x = 192
----- -----
16 16
x = 12
<u>Check:</u>
(10(12) - 20) + (6(12) + 8) = 180
(120 - 20) + (72 + 8) = 180
100 + 80 = 180
180 = 180
<u>Angle (10x - 20):</u>
(10(12) - 20)
(120 - 20)
100
<u>Angle (6x + 8):</u>
(6(12) + 8)
(72 + 8)
80
Answer:
Step-by-step explanation:
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?
Given that:
Number of cards = 4
x = Black on both sides = 1
y = Red on both sides = 1
z = Black on one side, red on one side = 2
.i) If the side you see is black, what is the probability that the other side is black = b
Probability of black
P(x) = 1/4 ; p(b|x) = 1
P(y) = 1/4 ; p(y|x) =
Answer:
Perimeter will be = 21.6
Step-by-step explanation:
As we know the formula to get the length between two points A and B having coordinates A(x,y) and B (a,b) is
AB = √(x-a)²+(y-b)²
We will use this formula to get the lengths of all sides of the quadrilateral.
AB=√(4+3)²+(2-2)² =√7² =7
BC = √(3-4)²+(-3-2)²=√(-1)²+(-5)² = √1+25=√26 = 5.1
CD = √(3+3)²+(-3-3)² = √6²+(-6)² = √72 = 8.5
DA = √(-3+3)²+(3-2)² =√1 = 1
Since perimeter of the quadrilateral = sum of lengths of all sides
Perimeter = 7 + 5.1 + 8.5 + 1 = 21.6
