Draw a diagram of a right trapezoid .
<span>B ---------------- C </span>
<span>.| ............ ............ * </span>
<span>.| ............ ............ ..... * </span>
<span>A --------------- -------------- D </span>
<span>Longer diagnal BD = 13cm </span>
<span>Longer base AD = 12cm </span>
<span>Shorter base BC = 8cm </span>
<span>Angle A is 90° , so △BAD is a right triangle . </span>
<span>AB^2 + AD^2 = BD^2 </span>
<span>AB^2 + 12^2 = 13^2 </span>
<span>AB^2 + 144 = 169 </span>
<span>AB^2 = 25 </span>
<span>AB = 5 </span>
<span>So the area of trapezoid ABCD is (12+8)*5/2 = 50 [cm^2] .</span>
Answer:
x =4
Step-by-step explanation:
sum of angles in a triangle = 180
(equilateral triangle) all sides are equal
180 ÷ 3 = 60
10x+20 =60
10x = 60 - 20
10x = 40
10x ÷10 = 40÷ 10
x = 4
Answer:
Step-by-step explanation:
We would apply the formula for binomial distribution which is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 18% = 18/100 = 0.18
q = 1 - p = 1 - 0.18
q = 0.82
n = 5
Therefore,
P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x = 0) = 5C0 × 0.18^0 × 0.82^(5 - 0)
P(x = 0) = 0.37
P(x = 1) = 5C1 × 0.18^1 × 0.82^(5 - 1)
P(x = 1) = 0.41
P(x = 2) = 5C2 × 0.18^2 × 0.82^(5 - 2)
P(x = 2) = 0.18
Therefore,
P(x ≤ 2) = 0.37 + 0.41 + 0.18 = 0.96
Answer:
x = 44/6
Step-by-step explanation:
10-2(x-7)= 4(x-5)
10-2x+14 = 4x-20
-2x +24 = 4x - 20
-2x -4x = -20 -24
-6x = -44
x = 44/6