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Leona [35]
3 years ago
11

Pls help due asap! Pls SHOW WORKINGS

Mathematics
2 answers:
Elden [556K]3 years ago
6 0

Answer:

95

Step-by-step explanation:

The way SkiffMacKinaw did this problem is the way it should be done. There is another way of doing it by extending both arms of <1 until they intersect p and q and solve the triangle hanging from p.

You then find the the angles of the triangle. The vertex angle is the supplement to <1.

This method works but it is not nearly as elegant as the original answer. This is one of the best awarded Brainliests I've seen lately.

sladkih [1.3K]3 years ago
3 0

Answer:

m\angle 1=95^{\circ}

Step-by-step explanation:

If we drew an auxiliary line parallel to line p and line q that intersects the vertex of \angle 1, we would form three angles, one of them being

The largest of these angles corresponds with the angle marked as 148^{\circ}.

The angle on the bottom right corresponds with the angle next to the one marked as 63^{\circ}. Therefore, its measure is 180-63=117^{\circ}.

Since there are 360^{\circ} in a circle, we can now write the following equation:

m\angle 1+117+148=360,\\m\angle 1=\fbox{$95^{\circ}\checkmark$}.

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Two years ago the population of a town was 40000. The population of the town at present has reached 44100. Calculate the populat
LenaWriter [7]

Answer:

5% annual population growth rate

Step-by-step explanation:

Let the percent the population grows by be X\%. The total population, f(x), after t years can be modeled by the function:

f(x)=40,000\cdot (\frac{X}{100}+1)^t

Why?

Let's take a look at a simple example. If we said a number n grew by 10%, we could represent the number after it grew by multiplying n by 1.10. This is because growing by 10% is equivalent to taking 100\%+10\%=110\% of that number and we convert a percentage to a decimal by dividing by 100.

Therefore, if the population grew X\%, we would divide it by 100 to convert it to a decimal, then add 1 (100%) and raise to the power of t (number of years) to multiply by the initial population of 40,000 to get the total population after t years.

Since the population of the town after two years is 44,100, substitute f(x)=44,100 and t=2 into f(x)=40,000\cdot (\frac{X}{100}+1)^t:

44,100=40,000\cdot (\frac{X}{100}+1)^2,\\\\(\frac{X}{100}+1)^2=\frac{44,100}{40,000},\\\\(\frac{X}{100}+1)^2=1.1025,\\\\(\frac{X}{100}+1)^2=\pm \sqrt{1.1025},\\\\\begin{cases}\frac{X}{100}+1=1.05,\frac{X}{100}=0.05, X=\boxed{5\%},\\*\text{negative case is extraneous since X must be positive}\end{cases}

Therefore, the city has an annual population growth rate of 5%.

6 0
3 years ago
-2(x - 3) = -3x + 8<br> What is the answer?
Softa [21]

<em>Answer:</em>

<em>x = 2</em>

<em />

<em>Hope it helps!</em>

4 0
3 years ago
Read 2 more answers
A baseball player has a batting average of 0.250, which means he gets a hit 25% of the time he is at bat. If he bats 450 times d
UNO [17]

Answer:

112.5

Step-by-step explanation:

25% of 450 = .25 x 450 = 112.5

8 0
3 years ago
I need to solve for x and I’m confused it’s about angels please help me
likoan [24]
Both 52 and 5x-8 are equal to each other due to being parral.
SO 5x-8=52

Add both sides.
8+8 52+8= 60

5x 60
Now divide both sides by 5 and you get 12=x Hope this helps!





8 0
3 years ago
F(x)= x3 2x - 567+192​
pentagon [3]
Answer:

Have a lovely day

6 0
3 years ago
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