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3 years ago

11

What is the value of y?

2 answers:

Anettt [7]3 years ago

4 0

These are vertical angles so they will be equal

9y + 7 = 2y + 98
subtract 7 from both sides

9y = 2y + 91
subtract 2y from both sides

7y = 91
divide by 7

y = 13

jenyasd209 [6]3 years ago

4 0

The meaning of vertical angles are two congruent angles formed by the intersection of two straight lines.

In this exercise is given the image of a pair of vertical angles and it is asked to find the value of y. In order to do that, you should put both expressions representing the angles together in a form of equation, since vertical angles are equals in measure.

9y+7=2y+98 Subtract 2y in both sides
7y+7=98 Subtract 7 in both sides
7y=91 Divide by 7 in both sides to isolate y
y=13

The value of y is 7, and the measure of each angle is 124 degrees.

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(-6x-6)+(8x-6)
-6x-6+8x-6
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Hope this helps :)

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Read 2 more answers

Suppose an unknown radioactive substance produces 8000 counts per minute on a Geiger counter at a certain time, and only 500 cou

mariarad [96]

Answer:

The half-life of the radioactive substance is of 3.25 days.

Step-by-step explanation:

The amount of radioactive substance is proportional to the number of counts per minute:

This means that the amount is given by the following differential equation:

$\frac{dQ}{dt} = -kQ$

In which k is the decay rate.

The solution is:

$Q(t) = Q(0)e^{-kt}$

In which Q(0) is the initial amount:

8000 counts per minute on a Geiger counter at a certain time

This means that $Q(0) = 8000$

500 counts per minute 13 days later.

This means that $Q(13) = 500$ . We use this to find k.

$Q(t) = Q(0)e^{-kt}$

$500 = 8000e^{-13k}$

$e^{-13k} = \frac{500}{8000}$

$\ln{e^{-13k}} = \ln{\frac{500}{8000}}$

$-13k = \ln{\frac{500}{8000}}$

$k = -\frac{\ln{\frac{500}{8000}}}{13}$

$k = 0.2133$

So

$Q(t) = Q(0)e^{-0.2133t}$

Determine the half-life of the radioactive substance.

This is t for which Q(t) = 0.5Q(0). So

$Q(t) = Q(0)e^{-0.2133t}$

$0.5Q(0) = Q(0)e^{-0.2133t}$

$e^{-0.2133t} = 0.5$

$\ln{e^{-0.2133t}} = \ln{0.5}$

$-0.2133t = \ln{0.5}$

$t = -\frac{\ln{0.5}}{0.2133}$

$t = 3.25$

The half-life of the radioactive substance is of 3.25 days.

7 0

3 years ago

Danny needs 8 cups of mike a pration should he buy a pint a quart or gallon of mike

Mila [183]

Answer:

8 cups equal 64 oz

so therefore its a gallon

Step-by-step explanation:

Pint equals 16 oz

quart equals 32 oz

gallon equals 128 oz

so gallon is half of 64 oz so therefore its better to buy the gallon of mike:)

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tamaranim1 [39]

Answer:

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Step-by-step explanation:

-9, -7, -5

a+(n-1)d

-9+(n-1)2

-9+2n-2

2n-11

7 0

3 years ago