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3 years ago

Complete the proof by providing the missing reasons.

Mathematics

1 answer:

dexar [7]3 years ago

6 0

Answer:

Step-by-step explanation:

2. Definition of Perpendicular Lines

3. Given

4. NB=NB

5. SSA Theorem

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consider the following equations: -x-y=1 y=x+3 if the two equations are graphed, at what point do the lines representing the two

Oksana_A [137]

Answer:

(-2, 1)

Step-by-step explanation:

consider the following equations: -x-y=1 y=x+3

For the lines to intersect, the values must be the same

-x-y=1

x + y = -1

y = -x - 1

Equating the y values

-x - 1 = x+ 3

-x-x = 3 + 1

-2x = 4

x = 4/-2

x = -2

Substitute x = -2 into y = x+3

y = -2 + 3

y = 1

Hence the required coordinate is (-2, 1)

7 0

2 years ago

The volume of a rectangular box is 330 cubic inches. The length on one side of the top is 11 inches, and the height of the box i

Fiesta28 [93]

Answer: 110 square inches.

Step-by-step explanation:

The volume of a rectangular box would be:

$V=length*width*height$

In this case, we know the volume, the length and the height, and we don't know the width, so we're going to isolate it:

$width=\frac{V}{length*height}$

Substituting the data:

$width=\frac{330}{11*3} =10in$

This width is also the width of the top of the box, so the area of the top would be:

$A=length*width\\A=11*10\\A=110in^{2}$

5 0

3 years ago

What is 3/4 inches of 15 ft

Fofino [41]

So .. in 1foot, there are 12inches... thus, in 15feet, there are 15*12 inches

how many in 3/4 of an inch? well $\bf \begin{array}{ccllll}
feet&inches\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
15&15\cdot 12\\
x&\frac{3}{4}
\end{array}\implies \cfrac{15}{x}=\cfrac{15\cdot 12}{\frac{3}{4}}\implies \cfrac{15}{x}=\cfrac{\frac{15\cdot 12}{1}}{\frac{3}{4}}
\\\\\\
\cfrac{15}{x}=\cfrac{15\cdot 12}{1}\cdot \cfrac{4}{3}\implies \cfrac{15}{x}=\cfrac{15\cdot 12\cdot 4}{3}$

solve for "x"

6 0

2 years ago

Please help me !!!!!!!!!!!!

Law Incorporation [45]

∠A+∠B=∠ACD
So, ∠A=93-31=62°
I think it mean that, right?

8 0

3 years ago

My Notes A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1600 hours and

Evgen [1.6K]

Answer:

The bulbs should be replaced each 1436.9 hours.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 1600, \sigma = 70$