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2 years ago

Find the measure for ∠XQL.

Mathematics

1 answer:

Oliga [24]2 years ago

6 0

Answer: $C)62\°$

Step-by-step explanation:

<h3> The missing picture is attached.</h3><h3> And the missing options are:</h3><h3> $A) 58\°\\ B)60\°\\ C)62\°\\ D)64\°$ </h3>

For this exercise it is necessary to remember the definition of "Vertical angles".

Vertical angles are defined as those angles that are opposite to each other and share the same vertex. These angles are congruent, which means that they have equal measure.

You can identify in the picture that $\angle XQL$ and $\angle MQR$ are Vertical angles, then they are congruent.

Based on the above, you can set up the following equation:

$-5b+82=-3b+74$

Now you must solve for "b" in order to find its value:

$82-74=-3b+5b\\\\8=2b\\\\\frac{8}{2}=b\\\\b=4$

Finally, substituting the value of "b" into $\angle XQL=-5b+82$ and evaluating, you get:

$\angle XQL=-5(4)+82\\\\\angle XQL=62\°$

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The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weig

Annette [7]

Answer:

0.24315

Step-by-step explanation:

Using the z score formula to solve this question

z = (x - μ) / σ,

Such that:

x = raw score

μ = population mean

σ = population standard deviation.

From the question:

x = 3000

μ = 3550

σ = 870

z = (3000 - 3550) / 870

z = -550/870

z = -0.6962

Using the z score table as well as probability calculator(as requested in the question to find the z score)

The probability of having less than 3000 is obtained as:

P(x<3000) = 0.24315

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2 years ago

Write the expanded form of h(3k-12.4)

ExtremeBDS [4]

Answer:3hk - 12.4h

Step-by-step explanation:

h(3k-12.4)

h x 3k - h x 12.4

3hk - 12.4h

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2 years ago

108 identical books have a mass of 30 kg,find the mass of 150 such books

snow_lady [41]

Answer:

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2 years ago

29) Adam’s sister wants to watch her intake of fat per day. Here is a guideline of the recommended daily allowances. Typical val

ziro4ka [17]

Basically all the information in this problem is useless. They included all those numbers to confuse you. If you read throughly you can see that all you need to know is that Adam's sister can only have 70 grams of fat each day and that her dinner will have 48 grams of fat.

To figure this out I use this formula all the time to figure out percentages.
is/of=x/100
Your trying to figure out what is 48 percent of 70 because that's how much Adam's sister is going to eat at dinner. So your is would be 48 and your of is 70. When you substitute those numbers your formula becomes 48/70=x/100. Now you cross multiply and get 70x=4800.All that's left is to divide 70 on both sides. Which gives you 68.57.The final answer is 69 percent.

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2 years ago

World poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year. Assume tha

dezoksy [38]

Answer:

A) $P(t)=77.2\cdot e^{0.016t}$

B) 89.157 million tons.

C) In year 2017.

Step-by-step explanation:

We have been given that world poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year.

A). We know that a continuous growth function is in form $y=a\cdot e^{kx}$ , where,

a = Initial value,

k = Growth rate in decimal form.

$1.6\%=\frac{1.6}{100}=0.016$

Upon substituting our given values, we will get:

$P(t)=77.2\cdot e^{0.016t}$

Therefore, our required function would be $P(t)=77.2\cdot e^{0.016t}$ , where, P represents world poultry production, in million tons, as a function of the number of years, t, since 2004.

B) To find the world poultry production in the year 2013, we will substitute $t=2013-2004=9$ in above formula as: