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dsp73
3 years ago
10

Find the measure of angle x in the figure below: (1 point)

Mathematics
2 answers:
lesantik [10]3 years ago
6 0
The answer would be C. 51 degrees 
 
57+61= 118
118-180= 62
62+67+x= 129x
129x = 180
x = 51

I hope this helped! : ) 

Goshia [24]3 years ago
4 0
Answer is C) 51

Angle y is 62 degrees because it forms a straight line with the angles next to it (57 and 61) so angle y must be 62.

There are 180 degrees in a triangle so 180-62-67 = 51
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What is 50/80 in simplest form? Thanks for your awesome help people
Sliva [168]
The answer is 5/8 because they both are divisable by 10
7 0
3 years ago
The half-life of cesium-137 is 30 years. Suppose we have a
VMariaS [17]
(a) If y(t) is the mass (in mg) remaining after t years, then y(t) = y(0) e^{kt}=100e^{kt}.

y(30) = 100 e^{30k} = \frac{1}{2}(100) \implies e^{30k} = \frac{1}{2} \implies k = -(\ln 2) /30 \implies \\ \\
y(t) = 100e^{-(\ln 2)t/30} = 100 \cdot 2^{-t/30}

(b) y(100) = 100 \cdot 2^{-100/30} \approx \text{9.92 mg}

(c)
100 e^{- (\ln 2)t/30} = 1\ \implies\ -(\ln 2) t / 30 = \ln \frac{1}{100}\ \implies\ \\ \\
t = -30 \frac{\ln 0.01}{\ln 2} \approx \text{199.3 years}
 
3 0
3 years ago
Find the GCF of 4y and 12y
Marianna [84]

Answer:

4y

Step-by-step explanation:

To find the greatest common factor of 2 numbers, factor both of the numbers:

4: 1, 2, 4

12: 1, 2, 3, 4, 6, 12

The greatest factor here in both of these lists is 4. These numbers also both have a factor of y, so you multiply those together and get 4y.

4\times y=4y

5 0
2 years ago
In the equation above k is a constant if y = 2 when x= 5 what is the value of x when y= 5
Tresset [83]

The value f x when y= 5 is 2

<h3>Variations </h3>

Let the given equation be y = k/x

where k is the constant

if y = 2 when x= 5, then;

k = xy

k= 2(5)

k = 10

In order to determine the value of x when y = 5

x = k/y

x = 10/5

x = 2

Hence the value f x when y= 5 is 2

Learn more on variation here: brainly.com/question/6499629

#SPJ1

6 0
2 years ago
if one inch represents 14 feet how many inches would you use to make a scale drawing of a building that is 199 feet
gayaneshka [121]

Answer:

14.2 inches

Step-by-step explanation:

Given

1 inch = 14 feet

Required

Find the equivalent of 199 feet

Write out the given expression;

1 inch = 14 feet

Divide both sides by 14

\frac{1\ inch}{14} = \frac{14\ feet}{14}

\frac{1\ inch}{14} = 1\ foot

1 foot = \frac{1}{14}inch

Let x represent the equivalent of 199 feet in inches;

Such that:

x = 199\ feet

x = 199 * 1 foot

Substitute 1 foot = \frac{1}{14}inch

x = 199 * 1 foot becomes

x = 199 * \frac{1}{14} inch

x = \frac{199}{14} inch

x = 14.2142857143 inch

<em>x = 14.2 inches (Approximated)</em>

6 0
4 years ago
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