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Oksanka [162]
3 years ago
10

How do I find the measure of angle 1 and 2

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

Angle 1 is a vertical angle in relation to the given angle, 117°, so it has the same measure.

Angle 2 is a corresponding angle to angle 1 where the transversal crosses parallel lines, so it has the same measure. (It is also an alternate exterior angle with respect to 117°, so has the same measure.)

∠1 = ∠2 = 117°

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Pls help me I don’t get this thank you!
Alik [6]

Answer:

you need to graph the pointe first

Step-by-step explanation:

3 0
3 years ago
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An apartment complex on Ferenginar with 250 units currently has 223 occupants. The current rent for a unit is 892 slips of Gold-
Triss [41]

Answer:

Step-by-step explanation:

Given data

Total units = 250

Current occupants = 223

Rent per unit = 892 slips of Gold-Pressed latinum

Current rent = 892 x 223 =198,916 slips of Gold-Pressed latinum

After increase in the rent, then the rent function becomes

Let us conside 'y' is increased in amount of rent

Then occupants left will be [223 - y]

Rent = [892 + 2y][223 - y] = R[y]

To maximize rent =

\frac{dR}{dy}=0\\=2(223-y)-(892+2y)=0\\=446-2y-892-2y=0\\=-446-4y=0\\y=\frac{-446}{4}=-111.5

Since 'y' comes in negative, the owner must decrease his rent to maximixe profit.

Since there are only 250 units available;

y=-250+223=-27\\\\maximum \,profit =[892+2(-27)][223+27]\\=838 * 250\\=838\,for\,250\,units

Optimal rent - 838 slips of Gold-Pressed latinum

8 0
4 years ago
Noah says that 9x - 2x + 4x is equivalent to 3x, because the subtraction sign tells us to subtract everything that comes from af
Alex787 [66]
Agree with Elena. Noah is wrong. If it is 9x-(2x+4x) then it equals to 3x.
5 0
4 years ago
What is the length of the midsegment of this trapezoid? Enter your answer in the box. units Trapezoid A B C D on the coordinate
emmainna [20.7K]

9514 1404 393

Answer:

  9 units

Step-by-step explanation:

The top base has a length that is the difference between the x-coordinates of points A and B:

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The bottom base has a length that is the difference between the x-coordinates of points C and D:

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The mid-segment has a length that is the average of the base lengths:

  (11 +7)/2 = 18/2= 9 . . . units; midsegment length

3 0
3 years ago
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Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x
Nuetrik [128]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

f(x) = (x - (7 + i)) (x - (5 - i))

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

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