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ella [17]
3 years ago
11

An architect drew plans for an office building.

Mathematics
1 answer:
Sav [38]3 years ago
4 0

Answer:

b

Step-by-step explanation:

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Help geometry what I m jlf <br> Picture provided
Zolol [24]

Answer:

\angle\,JLF = 114^o  which agrees with option"B" of the possible answers listed

Step-by-step explanation:

Notice that in order to solve this problem  (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from 180^o, since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as 90^o and 138^o. (see attached image)

We put our efforts into solving the right angle triangle denoted with green borders.

Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : 360^o-90^o-138^o=132^o

Therefore, the two equal acute angles in the triangle JOH should add to:

180^o-132^o=48^o resulting then in each small acute angle of measure 24^o.

Now referring to the green sided right angle triangle we can find find angle JLG, using: 180^o-24^o-90^o=66^o

Finally, the requested measure of angle JLF is obtained via: 180^o-66^o=114^o

4 0
3 years ago
Choose the fraction that has not been reduced to simplest form.
Thepotemich [5.8K]
first one since it’s 1/16 simplest form or 11/17 cuz it’s obv
8 0
3 years ago
Read 2 more answers
Population management is essential for development justify the statement​
olya-2409 [2.1K]

Answer:

Population management is important due to the fact that humans rely on different types of animals for food that if we populate to much that we could all run out of food because say if there are 30 humans and 5 pigs even if they both multiply there well still not be enough in the long run. Which throws the balance over nature off. So if we keep on populating we are practically killing are selves, population management is essential if you do not want the human race to die out.

Step-by-step explanation:

3 0
3 years ago
HELLO CAN ANYONE HELP MEE PLEASE I DONT UNDERSTAND!!
Furkat [3]

Answer:

−143x^3y^5

Step-by-step explanation:

7 0
3 years ago
Solve the following quadratic equation using the quadratic formula. Separate multiple answers with a comma if necessary.
Valentin [98]

Answer:

y^2 -4y +6=0

y =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}

Where a = 1, b= -4 ,c =6

And replacing we got:

y = \frac{-(-4) \pm \sqrt{4^2 -4(1)(6)}}{2*1}

And solving we got:

y = \frac{4 \pm \sqrt{-8}}{2} =2 \pm 2\sqrt{2} i

Where i =\sqrt{-1}

And the possible solutions are:

y_1=2 + 2\sqrt{2} i , y_2 = 2 - 2\sqrt{2} i

Step-by-step explanation:

For this case we use the equation given by the image and we have:

-y^2 +4y -6=0

We can rewrite the last expression like this if we multiply both sides of the equation by -1.

y^2 -4y +6=0

Now we can use the quadratic formula given by:

y =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}

Where a = 1, b= -4 ,c =6

And replacing we got:

y = \frac{-(-4) \pm \sqrt{4^2 -4(1)(6)}}{2*1}

And solving we got:

y = \frac{4 \pm \sqrt{-8}}{2} =2 \pm 2\sqrt{2} i

Where i =\sqrt{-1}

And the possible solutions are:

y_1=2 + 2\sqrt{2} i , y_2 = 2 - 2\sqrt{2} i

4 0
3 years ago
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