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ehidna [41]
3 years ago
8

Use the diagram and given information to answer the questions and prove the statement.

Mathematics
1 answer:
Greeley [361]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

<u> ASA Postulate (Angle-Side-Angle):</u>

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Consider triangles XYB and ZYA. In these triangles

  • ∠X≅∠Z (given)
  • XY≅ZY (given)
  • ∠Y is common angle

By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so

BX≅AZ

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i need help please! I think I know the answer but for some reason my brain's telling me that it's wrong so if someone could expl
Ivenika [448]

Considering the slopes of the segments, the correct option is:

D. No, because the triangle ABC doesn't have a pair of perpendicular sides.

<h3>When are lines parallel, perpendicular or neither?</h3>

The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:

  • If they are equal, the lines are parallel.
  • If their multiplication is of -1, they are perpendicular.
  • Otherwise, they are neither.

Here, we have to find if there are perpendicular segments, that is, if two slopes multiplied have a value of -1, then:

  • mAB = (-7 - 9)/(11 - 1) = -8/5.
  • mAC = (3 - 9)/(-9 - 1) = 3/5.
  • mBC = (3 - (-7))/(-9 - 11) = -1/2.

No sides are perpendicular, hence option D is correct.

More can be learned about slopes at brainly.com/question/20847660

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2 years ago
I JUST DOD THE IMPOSSIBLE AND SOLVED A RUBIX CUBE IN 19 MOVES
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Step-by-step explanation:

/right/left/up/turn left/ down/up/down/down/ right up/ ALSO CAN I BRAINLIEST IF I HELPED.

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8090 [49]

Answer: option C

Step-by-step explanation:

The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC

Assuming the given angle is #,

Recalling the trigonometric ratio,

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If tan # = 4, it means

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Therefore, opposite = 4 and adjacent = 1

Applying Pythagoras theorem,

Hypotenuse^2 = opposite ^2 + adjacent ^2

Hypotenuse = AC

Opposite = 4

Adjacent = 1

AC^2 = 4^2 + 1^2 = 17

AC = ± √17

To determine cos #, we would apply another trigonometric ratio,

Cos# = adjacent /hypotenuse

Cos# = 1/±√17

Cos # =-1 /√17 or 1/√17

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