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2 years ago

Lines s and t are parallel and r is a transversal.

Mathematics

1 answer:

pshichka [43]2 years ago

4 0

Answer:

The angles that are congruent to 4 are: 3, 8, and 7.

3 and 4 are vertical angles, 8 and 3 are opposite interior angles, 8 and 7 are vertical angles.

Hope this helps!

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What value of "p" will the pair of equations

Nikolay [14]

Answer:

Step-by-step explanation:

Slope is the same as coefficient of x

From the equation

3x+4y=12

Y=(-3/4)x+3

The slope for this eqn is -3/4

For this equation

Px+12y=30

12y=-p+30

Y= (-p/12)x +30/12

The slope is -p/12

To get p

-p/12=-3/4

P=9

3 0

2 years ago

The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which dec

elena-14-01-66 [18.8K]

If $S(t)$ is the amount of strontium-90 present in the area in year $t$ , and it decays at a rate of 2.5% per year, then

$S(t+1)=(1-0.025)S(t)=0.975S(t)$

Let $S(0)=s$ be the starting amount immediately after the nuclear reactor explodes. Then

$S(t+1)=0.975S(t)=0.975^2S(t-1)=0.975^3S(t-2)=\cdots=0.975^{t+1}S(0)$

or simply

$S(t)=0.975^ts$

So that after 50 years, the amount of strontium-90 that remains is approximately

$S(50)=0.975^{50}s\approx0.282s$

or about 28% of the original amount.

We can confirm this another way; recall the exponential decay formula,

$S(t)=se^{kt}$

where $t$ is measured in years. We're told that 2.5% of the starting amount $s$ decays after 1 year, so that

$0.975s=se^k\implies k=\ln0.975$

Then after 50 years, we have

$S(50)=se^{50k}\approx0.282s$

5 0

2 years ago

What solid 3D object is produced by rotating the rectangle about line m?

Roman55 [17]

Answer:

A. A cylinder with diameter 8 units

Step-by-step explanation:

∵ The line m is the central axis

So the radius is 4 units. ∴ Diameter is 8 units.

∵ The picture is a rectangle.

[ The rectangle rotates are its side to form a cylinder ]

So a cylinder with diameter 8 units.

The answer is A.

7 0

1 year ago

Find the sum or difference (2c-4)+(5c+11)

laiz [17]

Remove parentheses
2c - 4 + 5c + 11
Combine like terms
Answer: 7c + 7

7 0

2 years ago

Which expression has a value of 507 O A. 2x52 B. 2 x 55 C. 5 x 52 D. 5x25

d1i1m1o1n [39]

Answer:

.............,...........,.......................... ans is b

7 0

2 years ago