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3 years ago

What is the degree measure of x?

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

6 0

Answer:

134 degrees

Step-by-step explanation:

Because all triangles add up to 180 degrees, the missing degree inside the triangle would be 46 degrees. The 46 degrees are the missing side for the line and since all lines equal 180 degrees, 180 - 46 = 134

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Question 1 Multiple Choice Worth 1 points)

marta [7]

Answer:

A possible solution of (60, 10) does not make sense for this function, unless multiple people can come together to donate an item.

Check explanation for more explanantion.

Step-by-step explanation:

If x represents the number of people who donated an item and g(x) represents the number of items collected.

The x and g(x) values are usally presented in a coordinates format like (x, y) where y = g(x).

So, (60, 10) means that 60 people donated 10 items.

Unless multiple people can come together to donate an item, it isn't possible for 60 people to donate 10 items.

Hence, a possible solution of (60, 10) does not make sense for this function, unless multiple people can come together to donate an item.

Hope this Helps!!!

4 0

3 years ago

Write the equation for the perpendicular bisector of the given line segment.

Anon25 [30]

Answer:

$y=\frac{1}{3}x+\frac{5}{3}$

Step-by-step explanation:

Let

A(-5,5),B(-2,-4) ----> the given segment

step 1

Find the slope AB

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{-4-5}{-2+5}$

$m=\frac{-9}{3}$

$m=-3$

step 2

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

the slope of the perpendicular bisector is equal to

$m_1*m_2=-1$

we have

$m_1=-3$

substitute

$(-3)*m_2=-1$

$m_2=\frac{1}{3}$

step 3

Find the midpoint segment AB

A(-5,5),B(-2,-4)

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2} ,\frac{y1+y2}{2})$

substitute the values

$M(\frac{-5-2}{2} ,\frac{5-4}{2})$

$M(-\frac{7}{2} ,\frac{1}{2})$

step 4

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{1}{3}$

$M(-\frac{7}{2} ,\frac{1}{2})$

substitute

$y-\frac{1}{2}=\frac{1}{3}(x+\frac{7}{2})$

step 5

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y-\frac{1}{2}=\frac{1}{3}x+\frac{7}{6}$

$y=\frac{1}{3}x+\frac{7}{6}+\frac{1}{2}$

$y=\frac{1}{3}x+\frac{10}{6}$

simplify

$y=\frac{1}{3}x+\frac{5}{3}$

see the attached figure to better understand the problem

5 0

4 years ago

So a man runs 7 feet in one second, how much time does it take to run one foot?

Nady [450]

Your answer is 142.86 milliseconds rounded to two decimal places.

As 1 second is equal to 1000 milliseconds, we can write the ratio 7:1000 to represent feet to milliseconds. We can then see that to get 1 foot, we just have to divide 1000 by 7, which gives us 142.8517, or 142.86 to two decimal places.

I hope this helps!

3 0

3 years ago

What is n+ 4.5 - 0.3n-3

Aleks [24]

1. Collect like terms

(n-0.3n)+(4.5-3)

2. Simplify

0.7n + 1.5

Final Answer:

0.7n + 1.5

4 0

4 years ago

(Please show your work) (1 kwh = 3400 BTU’s 1 gallon = 8 pounds of water) The water coming into a dishwasher from a water heater

shtirl [24]

Answer:

5700 BTU

Step-by-step explanation:

Data provided in the question:

1 kwh = 3400 BTU’s

1 gallon = 8 pounds of water

Initial temperature = 50°F

Final temperature = 100°F

Water used by dishwasher = 10 gallons

Electrical energy used = 0.5 kwh

Now,

Water used in pounds = 10 × 8 = 80 lb

Total electrical energy used in BTU = 0.5 × 3400 BTU [ as 1 kwh = 3400 BTU]

Total electrical energy used in BTU = 1700 BTU

Energy used by water = Water used by dishwasher × Change in temperature × Specific heat of water

[ Specific heat of water = 1 BTU / °F.lb ]

Thus,

Energy used by water = 80 × 1 × ( 100 - 50 )

= 4000 BTU

Hence,

Total energy used = 1700 BTU + 4000 BTU = 5700 BTU

8 0

3 years ago