Answer:
Width: 10 inches
Length: 15 inches
Step-by-step explanation:
Let the width be w.
Since the length is 5 inches longer than its width, the length = w +5.
Area of rectangle = length x width
w (w +5) = 150
w^2 + 5w = 150
w^2 + 5w -150 = 0
Using quadratic formula,
w = 10 or -15
Since the width cannot be negative,
the width is 10 inches.
Now just substitute w=10 into length = w +5.
length = 10 + 5
= 15 inches
The equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
According to the question,
We have the following information:
We have two lines that are intersecting each other at a point. The angles made on this point are given.
Now, we know that these two angles are vertically opposite angles. And we also know that vertically opposite angles are equal.
So, we will have the following equation:
3x-1 = 140
Now, we can easily find the value of x from this equation:
Adding 1 on both sides of the equation:
3x = 140+1
3x = 141
Dividing by 3 on both sides:
x = 141/3
x = 47°
Hence, the equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
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Answer:
TRUE
Step-by-step explanation:
2x + 0.8/y = z – 4
x = 7, y = 0.2, z = 22
2×7 + 0.8/0.2 = 22 - 4
14 + 4 = 18
18 = 18
TRUE.
Answer:
Simple random sampling survey method
Step-by-step explanation:
A simple random sampling is an unbiased survey technique Hence it will represent all the parts of the city's population.
In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population). Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at any stage during the sampling process
<span><span><span>6+<span>14r</span></span>−<span>12r</span></span>+3
</span><span>=<span><span><span><span>6+<span>14r</span></span>+</span>−<span>12r</span></span>+3
</span></span>Combine Like Terms:
<span>=<span><span><span>6+<span>14r</span></span>+<span>−<span>12r</span></span></span>+3
</span></span><span>=<span><span>(<span><span>14r</span>+<span>−<span>12r</span></span></span>)</span>+<span>(<span>6+3</span>)
Your answer would be:
</span></span></span><span><span><span>
2r</span>+<span>9
~Good Luck~</span></span></span>