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vekshin1
3 years ago
11

∠F and ∠G are supplementary angles. If m∠F is two less than six times the measure of ∠G, find the measures of both angles

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
4 0

Answer:

∠ G = 26°, ∠ F = 154°

Step-by-step explanation:

Express ∠ F in terms of ∠ G, that is

F = 6G - 2

and since the angles are supplementary, then

G + 6G - 2 = 180, that is

7G - 2 = 180 ( add 2 to both sides )

7G = 182 ( divide both sides by 7 )

G = 26

Thus

∠ G = 26° and ∠ F = 6(26) - 2 = 156 - 2 = 154°

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Suppose that a box contains 45 light bulbs, of which 36 are good and the other 9 are defective. Consider randomly selecting thre
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Answer:

Step-by-step explanation:

Given that a box contains 45 light bulbs, of which 36 are good and the other 9 are defective.

Probability for any one to be defective as of now is \frac{36}{45} =0.80

a) P(E) = 0.80

b) After I draw we have 35 good ones and 9 defective

P(F/E) =\frac{35}{44} \\=0.796

c) P(G/EF)

This is the probability for iii bulb to be good given I and II are goog.

Once I and ii are good we have 43 bulbs with 34 good ones

P(G/EF) =\frac{34}{43} \\=0.7907

5 0
3 years ago
Susanne checks the temperature at 10:00 p.m. she notices that, if the temperature falls by 3 more degrees, it will break the rec
goldfiish [28.3K]

Answer:

Susanne checks the temperature at 10:00 p.m. she notices that, if the temperature falls by 3 more degrees, it will break the record low temperature for that day, which is 26 degrees.

Step-by-step explanation:

3 0
3 years ago
Find the equation of the line passing<br> through the points (2, 1) and (5, 10).<br> y = [? ]x + [ ]
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Answer:

y=3x-5

Step-by-step explanation:

m=10-1/5-2

m=9/3

m=3

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8 0
3 years ago
Paige’s income statement for the month of December is shown. Paige monthly income statement for December. Total wages are 1,850
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Answer:

Paige’s net income for December is $950

Step-by-step explanation:

Here in this question, we are interested in calculating Paige’s net income for December

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From the question, monthly wage = $1,850 while the total expenses = $900

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6 0
3 years ago
Distance between (-6, -2) and (0,-1)
s344n2d4d5 [400]

Hey there! I'm happy to help!

To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!

First, we'll add our two x-values.

-6-0= -6

We square it, which means to multiply it by itself.

-6(-6)=36        (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)

Now, we do the same with the y-values.

-2-(-1)=-1           (two negatives make it a plus, as in minus minus 1 is plus one.)

We square it.

-1(-1)=1              

Now, we add these x and y value differences.

36+1=37

Now, we find the square root using a calculator.

√37≈6.08

Have a wonderful day!

5 0
3 years ago
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