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Ivanshal [37]
3 years ago
12

(SAT Prep) Find the value of x.

Mathematics
1 answer:
mario62 [17]3 years ago
6 0

Answer:

x = 65°

Step-by-step explanation:

Naming the sides of the parallelogram formed ABCD as shown in the attached image to this solution.

Angle A = 2x (vertically opposite angles are equal)

Angle A = Angle C (opposite angles of a parallelogram are equal)

Angle A = Angle C = 2x

(Angle C) + 50° = 180° (Sum of angles on a straight line is 180°)

2x + 50° = 180°

2x = 180° - 50° = 130°

x = (130°/2) = 65°

Hope this Helps!!!

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Free_Kalibri [48]

Answer:

y = -5x + 4

Step-by-step explanation:

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3 years ago
Compare and contrast the relative frequency for the whole table in part B with the two-way frequency table given in the activity
PIT_PIT [208]

The way to convert counts into relative frequencies in a Two Way Relative Frequency Table is to divide the count by the total number of items

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brainly.com/question/12134864

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2 years ago
An airplane flying into a headwind travels the 1800-mile flying distance between Pittsburgh, Pennsylvania and Phoenix, Arizona i
DaniilM [7]

If you put this info into a distance/rate/time table, you would have "against the wind" and "with the wind" as your 2 situations. If the distance from PA to AZ is 1800 miles, then the distance backwards, from AZ to PA is 1800 miles also. That number would go into the distance category for both situations. The rate is what we are looking for. The rate for "against the wind" is the speed of the plane minus the speed of the wind since the wind is blowing into the plane, slowing it down a bit. That looks like this: p - w where p is the speed of the plane and w is the speed of the wind. The rate for "with the wind" is p + w since the wind is pushing the plane along with it, making it fly faster. It took 3.6 hours to get from PA to AZ (you have to convert the 36 minutes into hours) and it took 3 hours to go from AZ to PA. In table form that looks like this:

distance = rate x time

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with wind 1800 = p + w x 3

Since distance = rate times time, then the first equation going along in the first row is 1800 = 3.6(p - w) and

1800 = 3.6p - 3.6w

Going along in the second row we have 1800 = 3p + 3w. Let's solve this equation for p: 1800 - 3w = 3p and dividing everything by 3 we have

600 - w = p. Now we have a viable substitution to make into the first equation we wrote. If p = 600 - w, then 1800 = 3.6(600 - w) - 3.6w

and 1800 = 2160 - 3.6w - 3.6w. Combining like terms we have

-360 = -7.2w and solving for w we have that w = 50. That means that the speed of the wind is 50 mph. Now we can sub that value in for w to solve for p. 600 - w = p so 600 - 50 = p. That means that p = 550mph. The wind blows at a rate of 50 mph while the plane travels at a rate of 550 mph. There you go!


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4 years ago
The symbol for a Biconditional statement is ____
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Answer is the second one .
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