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Temka [501]
3 years ago
7

i have a couple questions with my geometry homework which is due tomorrow, could someone try answering them? I've been trying to

solve them for the past hour.

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0

Answer:

  2.  100°              22.  7

  18.  6                  23.  9

  19.  8                  24.  65°

  20.  55°             25.  AB = (1/2)DF

  21.  6                 26.  AB ║ DF

Step-by-step explanation:

Please be aware that the triangle measurements shown for problems 18–20 and 22–24 cannot exist. In the first case, the angle is closer to 48.6° (not 35°), and in the second case, the angle is closer to 51.1°, not 25°. So, you have to take the numbers at face value and not think too deeply about them. (This state of affairs is all too common in geometry problems these days.)

_____

2. You have done yourself no favors by marking the drawing the way you have. Look again at the given conditions. You will find that x+2x must total a right angle, so x=30°. Angle P is the complement of 40°, so is 50°. Then the sum of x and angle P is 30° +50° = 80°, and the angle of interest is the supplement of that, 100°.

__

18–20. Perpendicular bisector NO means  ∆NOL ≅ ΔNOM. Corresponding parts have the same measures, and angle L is the complement of the marked angle.

__

21. ∆ODA ≅ ∆ODB by hypotenuse-angle congruence (HA), so corresponding parts are the same measure. DB = DA = 6.

__

22–24. ∆VPT ≅ ∆VPR by LL congruence, so corresponding measures are the same. Once again, the angle in question is the complement of the given angle.

__

25–26. You observe that A is the midpoint of DE, and B is the midpoint of FE, so AB is what is called a "midsegment." The features of a midsegment are that it is ...

  • half the length of the base (DF)
  • parallel to the base

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Vanyuwa [196]

Part a: Option c: 3x+90+x-14=180

Part b: The value of x is 26

Explanation:

Part a:

Option a: 3x+x-14=180

Since, adding all the angles in the straight line results in 180°, and only two of the three angles were added in the equation to find the value of x.

Thus, the equation 3x+x-14=180 cannot be used to determine the value of x.

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Option b: 3x+90+x-14=90

Adding all the angles in the straight line results in 180°.

Thus, adding all the angles does not equals to 90°

Hence, the equation 3x+90+x-14=90 cannot be used to determine the value of x.

Hence, option b is not the correct answer.

Option c: 3x+90+x-14=180

Since, the straight line is 180° and thus adding the angles in this straight line will result in 180°

Thus, the angles in this straight line are 3x, 90° and x-14.

Hence, adding these angles will result in 180°

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Thus, Option c is the correct answer.

Option d: 4x+90=360

Adding all the angles in the straight line results in 180°.

Since, not all the three angles were added in this equation and the equation equals to 180°

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Part b:

To determine the value of x, we shall add all the angles of the equation 3x+90+x-14=180

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Subtracting both sides by 76,

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Dividing both sides by 4, we get,

x=26

Thus, the value of x is 26.

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