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andrey2020 [161]
3 years ago
11

​ Quadrilateral ABCD ​ is inscribed in this circle.

Mathematics
2 answers:
Kaylis [27]3 years ago
4 0

Answer:

∠B=132°

Step-by-step explanation:

It is given that ​ Quadrilateral ABCD ​ is inscribed in this circle and we know that the sum of the opposite angles of the quadrilateral inscribed in the circle equals 180°.

Therefore, ∠D+∠B=180°

⇒x+(3x-12)=180

⇒4x=180+12

⇒4x=192^{\circ}

⇒x=48^{\circ}

Thus, the measure of ∠B is=3x-12=3(48)-12=144-12=132^{\circ}

fgiga [73]3 years ago
3 0
Assuming the sum of the  opposite angle would be 180. We can easily calculate for x and ultimately solve for the angle of B. We do as follows

B + D = 180
3x-12 + x = 180
4x - 12 = 180
4x = 192
x = 48 degrees

Therefore angle B would have a measurement of 132 degrees. Hope this helps.
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Two chicken coops are to be built adjacent to one another from 168 ft of fencing. What dimensions should be used to maximize the
Cerrena [4.2K]

Answer:

21 ft by 28 ft

Step-by-step explanation:

To maximize the area, see the attached.

Perimeter will be 4l+3w which is equal to the fencing perimeter, given as 168

4l+3w=168

Making l the subject then

4l=168-3w

l=42-¾w

Area of individual land will be lw and substituting l with l=42-¾w

Then

A=lw=(42-¾w)w=42w-¾w²

A=42w-¾w²

Getting the first derivative of the above with respect to w rhen

42-w6/4=0

w6/4=42

w=42*4/6=28

Since

l=42-¾w=42-¾(28)=21

Therefore, maximum dimensions are 21 for l and 28 for w

4 0
3 years ago
Correct answer plz. 15 points. Reported for wrong answer. Thx
34kurt

Third option is the right answer:  

−2x + 4y ≥ 0

7 0
2 years ago
Pls Helpp meee Which one is it??? I will give u brainliest
olya-2409 [2.1K]

Answer:

The answer will be the last one which means that will 2

Step-by-step explanation:

You need to find

(f.g)=2 or (f.g) (-2)=2

5 0
3 years ago
What is the area of the figure? A) 18 in2 B) 24 in2 C) 30 in2 D) 36 in2
Annette [7]
Hello!

You need to separate this into two rectangles and add their areas together

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3 * 6 = 18

rectangle 2

3 * 2 = 6

18 + 6 = 24

the answer is 24in squared


5 0
3 years ago
Read 2 more answers
Samantha read 22 books in 4 months. How many books would she read in 10 months?
kari74 [83]

Well first let's find out how many books she reads in 1 month.
1) 22 (books) ÷4 (months)=5.5 she reads 5.5 books in one month.
Now we multiply 5.5 by the amount of months she will be reading.
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8 0
3 years ago
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