First question
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Second question 65%
The value of the x and y is 12 and -10 respectively, and the provided figure is a parallelogram because the diagonals bisect each other.
<h3>What is parallelogram?</h3>
In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
As we know in the parallelogram, the diagonals bisect each other.
Then,
432 = 3x²
x² = 144
x = √144
x = 12
In the parallelogram, the adjacent opposite angles are the same.
∠C+∠B = 240°
= 360 - 240
∠A + ∠D = 120°
∠A = ∠D = 120°/2 = 60
∠D/2 = 60/2 = 3y + 60
3y + 60 = 30
3y = -30
y = -10
From the definition of the parallelogram, the provided figure is a parallelogram.
Thus, the value of the x and y is 12 and -10 respectively and the provided figure is a parallelogram because the diagonals bisect each other.
Learn more about the parallelogram here:
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Let the three consecutive integers be x, x+1 and x+2.
According to the question, x+x+1+x+2=51
=>3x+3=51
=>3x+3-3=51-3
=>3x=48
=>x=16
Hence, first integer = 16,
second integer = 16 + 1 = 17 and
third integer = 16 + 2 = 18.
Answer: 0.1
Step-by-step explanation:
Given : A Houston department store sampled 80 items sold in January and found that 8 of the items were returned.
In other words, sample size : <em>n</em>=1040
Number of items returned : <em>x</em>= 8
Let <em>p</em> be the proportion of items returned for the population of sales transactions at the Houston store.
As per sample , the sample proportion of items returned for the population of sales transactions at the Houston store is :
As we know that , <em>the sample proportion is the best estimate of the population proportion.</em>
Therefore,a point estimate of the proportion of items returned for the population of sales transactions at the Houston store is 0.1.
Answer:
Divide both sides by 4
Step-by-step explanation:
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