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julsineya [31]
4 years ago
11

Can someone figure out the problem in this image?

Mathematics
1 answer:
erma4kov [3.2K]4 years ago
7 0
Right side:
(1/27)^(2x+10)
=(3^-3)^(2x+10)
= 3^(-6x - 30)

Re-write both sides:
3^(4x-5) = 3^(-6x - 30)

from here, you can solve x 

4x - 5 = -6x - 30
4x + 6x = -30 + 5
10x = -25
    x = -2.5
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A church rings its bells every 15 minutes, the school rings its bells every 20 minutes and the day care center rings its bells e
ankoles [38]

Answer:

As few as just over 345 minutes (23×15) or as many as just under 375 minutes (25×15).

Imagine a simpler problem: the bell has rung just two times since Ms. Johnson went into her office. How long has Ms. Johnson been in her office? It could be almost as short as just 15 minutes (1×15), if Ms. Johnson went into her office just before the bell rang the first time, and the bell has just rung again for the second time.

Or it could be almost as long as 45 minutes (3×15), if Ms. Johnson went into her office just after the bells rang, and then 15 minutes later the bells rang for the first time, and then 15 minutes after that the bells rang for the second time, and now it’s been 15 minutes after that.

So if the bells have run two times since Ms. Johnson went into her office, she could have been there between 15 minutes and 45 minutes. The same logic applies to the case where the bells have rung 24 times—it could have been any duration between 345 and 375 minutes since the moment we started paying attention to the bells!

Step-by-step explanation:

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3 years ago
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5 units, it’s the squares that go on that line
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3 years ago
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Myra took a picture of the sky one afternoon when two jet airplanes appeared to draw a pair of parallel lines with their vapor t
kakasveta [241]

Options 1, 3 and 5. The true statements based on the fact that c and d are parallel are:

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  • m<4  = m<8 = 82degrees
  • m<5 = m<8 = 82 degrees

<h3>How to solve for the angles </h3>

The sum of the angles m<4 + m<3 = 180

m<4 + 82 = 180

m<4 = 180 - 82= 98

From the question we have the first as alternate interior angles. The second is corresponding angles and the last option is vertical angles.

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5 0
2 years ago
What is the measure of angle x?
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The measure of angle x is 28
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3 years ago
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A, B and C are the vertices of a triangle.
qwelly [4]

Answer:

Step-by-step explanation:

Use midpoint formula to find the coordinates of each midpoint.

(x, y) = (½ (x₁ + x₂), ½(y₁ + y₂))

Coordinates of D:

(x, y) = (½ (4 + 2), ½(6 + -2))

(x, y) = (3, 2)

Coordinates of E:

(x, y) = (½ (4 + -2), ½(6 + -4))

(x, y) = (1, 1)

Slope of DE:

m = Δy / Δx

m = (2 − 1) / (3 − 1)

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Slope of BC:

m = Δy / Δx

m = (-2 − -4) / (2 − -2)

m = 1/2

Therefore, DE is parallel to BC.

6 0
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