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Radda [10]
2 years ago
10

Find the value of the variable plz help

Mathematics
2 answers:
Naddika [18.5K]2 years ago
7 0

Answer:

Step-by-step explanation:

Vertically opposite angles are equal.

8y + 36 = 14y -24                Subtract 36 to both sides

8y = 14y - 24 - 36               Combine

8y = 14y - 60                       Subtract 14y from both sides

8y - 14y = - 60

-6y = -60                             Divide by - 6

-6y/-6 = -60/-6

y = 10

===========================

x +48 = 64                        Subtract 48 from both sides

x +48 - 48 = 64-16

x = 16

                   

kari74 [83]2 years ago
6 0

Answer:

x = 16

y = 10

Step-by-step explanation:

*first of, we know that one angle is 64 degrees, which means the opposite side is also 64 degrees

we can find x by the following formula:

⇒ 64 = 48 + x

then subtract 48 on both sides:

⇒ 64 - 48 = 48 - 48 + x

⇒ 16 = x

we now know that two of the angles are 64 degrees, this means that the other two angles add up to 116 degrees (180 - 64 = 116)

with this being said, lets talk a look at (8y + 36)

we can solve y from the following equation:

⇒ 116 = 8y + 36

first, subtract 36 on both sides

⇒ 116 - 36 = 8y + 36 - 36

⇒ 80 = 8y

then divide 8 on both sides

⇒ \frac{80}{8} = \frac{8y}{8}

⇒ 10 = y

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Step-by-step explanation:

Distance between two villages = d

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4 0
3 years ago
David will spend at most $39 on gifts. So far, he has spent $22. What are the possible additional amounts he will spend? Use c f
iren2701 [21]

Answer:

c\leq \$17

Step-by-step explanation:

Let

c -----> the additional amount (in dollars) David will spend

we know that

The word " at most" in this context means "less than or equal to"

The amount David has spent plus possible additional amounts he will spend must be less than or equal to $39

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22+c\leq 39

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subtract 22 both sides

c\leq 39-22

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The maximum amount he could spend is $17

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3 years ago
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8 0
3 years ago
the utility bill for the Millers home was it in April with $132 42% of the bill was for gas and the rest for electricity how muc
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In the given question, there are several data of immense importance. based on these data's the answer to the question can be easily deduced. it is already given that the total utility bill for the month of April in Millers house is $132 and 42% of the bill was paid for gas. remaining amount is paid as electricity charges.
Now
Amount of money paid for gas = 132 * (42/100) dollars
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                                                   = 55.44 dollars
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The amount of money paid for electricity = (132 - 55.44) dollars
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So the Millers paid 55.44 dollars for gas and 76.56 dollars for electricity in the month of April.
6 0
3 years ago
Read 2 more answers
A bank security camera is mounted on a wall. The camera is set at an angle of depression of 19 degrees so that it is focused on
777dan777 [17]

Answer:

8.95feet

Step-by-step explanation:

The set up is a right angled triangle where;

The camera's horizontal distance from the focus point = 26feet = Adjacent;

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Tan theta = opp/adj

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x = 26(0.3443)

X = 8.95feet

Hence the camera is placed at a height of 8.95feet above the floor

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