9514 1404 393
Answer:
a) ∆ABC ~ ∆EDC by AA similarity
b) ED/AB = 3/4
c) 15 cm
Step-by-step explanation:
a) Two angles in each triangle are the same, so the AA similarity postulate can be used to declare the ∆ABC ~ ∆EDC. (Each triangle includes a right angle and angle C.)
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b) Corresponding sides are ED/AB, DC/BC, EC/AC. The ratio of corresponding sides is ED/BC = (12 cm)/(16 cm) = 3/4.
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c) Using the ratios identified above, we have ...
DC/BC = 3/4 = x/(20 cm)
x = 3/4(20 cm)
x = 15 cm
Answer:
1/5
Step-by-step explanation:
The stick has a length of 5 units
The stick is broken at two points chosen at random
First break: the probability that you get a piece that is 1 unit or longer than 1 units= 1/5.
Second break, the probability that you get a piece that is 1 unit or longer than 1 units is 1/5.
Therefore,
The total probability =probability of first break * probability of second break * original stick unit
=1/5 * 1/5 * 5
= 1/25 *5
=5/25
=1/5
First, determine the circumference (C) of the circle, the equation,
C = 2πr
Substituting the value or the radius,
C = 2π ( 4) = 8π
The arc length is the product of the circumference and the ratio between the subtended angle and 360. The mathematical expression is already,
S = (8π) x (72 / 360) = 0.8π
Thus, the arc is 0.80π.
Answer:
m = 4 or m = -8
Step-by-step explanation:
length between 2 points = √(difference of x)² + (difference of y)²
AB² = (m - (-2))² + (5 - 3)² = (m + 2)² + 4 = m² + 4m +8
AC² = ((-1) - (-2))² + (0 - 3)² = 10
AB² = 4AC²
m² + 4m +8 = 40
m² + 4m - 32 = 0
(m - 4) (m + 8) = 0
m = 4 or m = -8
