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VARVARA [1.3K]
3 years ago
7

Solve y – 7 > 3 + 2y A) y -10 D) y > -10

Mathematics
1 answer:
Anika [276]3 years ago
7 0

Answer:

D. -y > 10

Step-by-step explanation:

First, move the variable (+ 2y) to the left-hand side and change its sign.

y - 2y - 7 > 3

Then, move the constant (+ 7) to the right-hand side and change its sign.

y - 2y > 3 + 7

Then, collect the like terms (y - 2y)

-y > 3 + 7

Finally, add the numbers (3 + 7). That will get you your final answer.

-y > 10

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two sides of a parallelogram meet at an angle of 50 degrees. If the length of one side is 3 meters and the length of the other s
Anon25 [30]

Answer:

The longer diagonal has a length of 7.3 meters.

The angles are 31.65° and 18.35°

Step-by-step explanation:

If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:

50°, 130° and 130°.

The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.

Using the law of cosines in one of these two triangles, we have:

diagonal^2 = a^2 + b^2 - 2ab*cos(130\°)

diagonal^2 = 3^2 + 5^2 - 2*3*5*(-0.6428)

diagonal^2 = 53.284

diagonal = 7.3\ meters

So the longer diagonal has a length of 7.3 meters.

To find the angles that this diagonal forms with the sides, we can use the law of sines:

a / sin(A) = b/sin(B)

5 / sin(A) = diagonal / sin(130)

sin(A) = 5 * sin(130) / 7.3

sin(A) = 0.5247

A = 31.65\°

The other angle is B = 50 - 31.65 = 18.35°

Please check the image attached for better comprehension.

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3 years ago
If P(x) = 0.40, find the complement
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