Answer:
0
Step-by-step explanation:
Since we're multiplying by 0, the entire product becomes 0.
Answer:
Step-by-step explanation:
Since angle ABD is 133 degrees and the sum of the angles in a triangle is 180 degrees, it means that
m∠ DAB + 133 + 22 = 180
m∠ DAB = 180 - 155 = 25 degrees
Also, ∆ ADC is an isosceles triangle because two of its sides are equal. It also means that the base angles are equal. Thus,
m∠ A = m∠ B
Therefore,
m∠ A + m∠ B + angle D = 180
m∠ A + m∠ B = 180 - 22 × 2
m∠ A + m∠ B = 180 - 44 = 136
m∠ A = m∠ B = 136/2 = 68 degrees
m∠ CAB + m∠ DAB = m∠ A
Therefore,
m∠ CAB = 68 - 25 = 43 degrees
Since ∆ ABC is isosceles, then
m∠ CAB = m∠ ACB
m∠ ACB = 43 degrees
m∠ ABC = 180 - (43 × 2) = 180 - 86
m∠ ABC = 94 degrees
m∠ BCD = 68 - m∠ ACB
m∠ BCD = 68 - 43 = 25 degrees
Answer:
<h2><em>
2x-4</em></h2>
Step-by-step explanation:
Area of a rectangle = Length * Width
Given parameters
Area A = 8x2 – 10x – 12
Length of the rectangle = 4x+3
Required
Width of the rectangle.
Substituting the given parameters into the formula
8x2 – 10x – 12 = (4x+3)*width
width = 8x2 – 10x – 12
/4x+3
S
Factorizing the numerator
8x² – 10x – 12
= 2(4x²-5x-6)
= 2(4x²-8x+3x-6)
= 2(4x(x-2)+3(x-2))
= 2(4x+3)(x-2)
Width = 2(4x+3)(x-2)/4x+3
Width = 2(x-2)
Width = 2x-4
<em>Hence the width of the rectangle is 2x-4</em>
The probability that the next customer will pay with cash is 0.76
<h3>What is the probability?</h3>
Formula to find the probability of an event is:
P(A) = n(A)/n(S)
where;
n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment/survey
We are given that;
45 customers paid cash
8 customers used a debit card
6 customers used a credit card.
Thus, the total number of customers:
n(S) = 45 + 8 + 6
n(S) = 59
Let event A be the event that the next customer will pay with cash. Thus, n(A) = 45
Therefore, the probability that the next customer will pay with cash would be;
P(A) = n(A)/n(S)
P(A) = 45/59
P(A) = 0.76
Read more about Probability at; brainly.com/question/23047865
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