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Luda [366]
3 years ago
15

Parallelogram ABCD is dilated to form parallelogram EFGH. Which corresponding angle is congruent to angle A? Type your answer in

the box below as a single letter to represent the angle. For example, if the answer is angle X, simply type X in the blank. Parallelograms ABCD and EFGH are shown.

Mathematics
1 answer:
sdas [7]3 years ago
4 0
"A" is the first letter of the name of parallelogram ABCD. "E" is the first letter of similar parallelogram EFGH. The corresponding angles are the corresponding letters.

The appropriate answer is
  E
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The average daily high temperature in Seattle is modeled by the function T = –15 cos(πm/6)+ 61, where T is the temperature in °F
Sliva [168]

Answer:

m = 6

Step-by-step explanation:

T = -15cos(\frac{\pi m}{6}) +61

76 = -15cos(\frac{\pi m}{6}) +61

76-61 = -15cos(\frac{\pi m}{6})

15 = -15cos(\frac{\pi m}{6})

\frac{15}{-15}  = cos(\frac{\pi m}{6})

-1  = cos(\frac{\pi m}{6})

cos^{-1}( -1)  = \frac{\pi m}{6}

\pi  = \frac{\pi m}{6}

6\pi  = \pi m

m = 6

7 0
2 years ago
Can you do 2 and 3 please and tell me how you got your answer?
alexandr402 [8]

Answer:

2. Sorry, I don't how to put that into words, because i'm trying to use calculators, then figure out how they got their answer.

3. C

Step-by-step explanation:

2. ^

3. to get the difference between two numbers, (100 and 50, for example,) you must just simply have them minus each other, like simple math. 100 - 50 = 50.

So your difference between the number 100, and the number 50, are 50.

7 0
3 years ago
2(x - 2) = -4x + 44 what does x equal
Komok [63]
2(x - 2) = -4x + 44

First, expand. / Your problem should look like: 2x - 4 = -4x + 44
Second, add 4 to both sides. / Your problem should look like: 2x = -4x + 44 + 4
Third, simplify -4x + 44 + 4 to get -4x + 48. / Your problem should look like: 2x = -4x + 48
Fourth, add 4x to both sides. / Your problem should look like: 2x + 4x = 48
Fifth, add 2x + 4x to get 6x. / Your problem should look like: 6x = 48
Sixth, divide both sides by 6. / Your problem should look like: x =  \frac{48}{6}
Seventh, simplify \frac{48}{6} to 8. / Your problem should look like: x = 8

Answer: x = 8

5 0
3 years ago
Read 2 more answers
An open rectangular box having a volume of 108 in.3 is to be constructed from a tin sheet. Find the dimensions of such a box if
murzikaleks [220]

Answer:

6 in x 6 in x 3 in.

Step-by-step explanation:

Given

V = xyz = 108   ⇒   z = 108/(xy)

The amount of the material used is

S = xy + 2yz + 2xz

Put value of z from the volume

S = xy + 2y*108/(xy) + 2x*108/(xy) = xy + 216/x + 216/y

Now, we find the relative minimum of the function S(x,y)

First, we find the critical point. Set Sx = 0  and  Sy = 0

and solve this system:

Sx(x,y) = y - (216/x²) = 0

Sy(x,y) = x - (216/y²) = 0

From the first equation we have

y = 216/x²

Put it in the second equation and find x

x - (216/(216/x²)²) = 0

⇒  x*(1 - (x³/216)) = 0

⇒  x₁ = 0   and  x₂ = 6

Now, we can find y as follows

y₁ = 216/(0)²   which is undefined

y₂ = 216/(6)² = 6

Hence, the only critical point of S is (6, 6). Next, we calculate the second ordered derivatives that we need for the second derivative test:

Sxx(x,y) = 432/x³

Sxy(x,y) = 1

Syy(x,y) = 432/y³

Applying the second derivative test

D(6, 6) = Sxx(6, 6)*Syy(6, 6) - S²xy(6, 6) = 2*2 - 1² = 4 -1 = 3 > 0

Sxx(6, 6) = 2 > 0

Since D(6, 6) > 0   and   Sxx(6, 6) > 0   we can conclude that S has a relative minimum at (6, 6).

z coordinate is:

z = 108/(xy) = 108 / (6*6) = 3

Finally, the dimentions of a box are 6 in x 6 in x 3 in.

6 0
3 years ago
Solve these algebraic fractions please with explanation would be great ​
Pavlova-9 [17]

Answer:

look above

Step-by-step explanation:

hope it helps

4 0
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