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Snowcat [4.5K]
3 years ago
11

Geometry math question please help

Mathematics
1 answer:
Ganezh [65]3 years ago
4 0

CB would be equal to CK because of the CPCTC (congruent parts of congruent triangle are congruent) Theorem.

5x - 3 = 3x + 1

Add 3 to both sides.

5x = 3x + 4

Subtract 3x from both sides.

2x = 4

Divide both sides by 2.

x = 2

D) 2

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How many cubic inches of water will the aquarium hold
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Answer:

about 1,620 cubic inches

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8 0
3 years ago
A Canadian dollar is worth about $0.85 in
patriot [66]

Answer:

d. $298 U.S. dollars

Step-by-step explanation:

$1 Can = $0.85 US

Divide both sides of the equation by $1 Can

1 = ($0.85 US)/($1 Can)

$350 Can * ($0.85 US)/($1 Can) = $297.50 US

Answer: d. $298 U.S. dollars

5 0
3 years ago
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A change in the environment that causes a response is known as a
joja [24]
Stimulus.
A stimulus is a reaction to environmental changes.
Hope this helps!
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5 0
3 years ago
Find the absolute extreme of the function on the closed interval. y=9e^xsinx , [0,pi]
Molodets [167]

For convenience sake, I will let y=f(x)=9e^{x}\sin x

First, we evaluate the function at the endpoints of the interval.

f(0)=9e^{0}\sin(0)=0\\\\f(\pi)=9e^{\pi}\sin(\pi)=0

Then, we need to find the critical points.

We can start by taking the derivative using the power rule.

f'(x)=9e^{x} \frac{d}{dx} \sin x+9\sin x \frac{d}{dx} e^{x}=9e^{x}(\cos x+\sin x)

Setting this equal to 0,

9e^x (\cos x+\sin x)=0

Since 9e^x > 0, we can divide both sides by 9e^x.

\cos x+\sin x=0\\\\\sin x=-\cos x\\\\\tan x=-1\\\\x=\frac{3\pi}{4}

f\left(\frac{3\pi}{4} \right)=9e^{3\pi/4}\sin \left(\frac{3\pi}{4} \right)=\frac{9\sqrt{2}e^{3\pi/4}}{2}

So, the absolute minimum is \boxed{\left(\frac{3\pi}{4}, \frac{9\sqrt{2}e^{3\pi/4}}{\sqrt{2}} \right)} and the absolute minima are \boxed{(0,0), (\pi, 0)}

3 0
2 years ago
A market increased the price of cheese selling for $4.98 per pound by 3%. What is the new
MakcuM [25]

Answer:

$10.26

Step-by-step explanation:

$4.98x0.03= 0.1494,

4.98+0.1494= 5.13

2; 5.13+5.13= 10.26

7 0
3 years ago
Read 2 more answers
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