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Sladkaya
2 months ago
9

Explain how rays AB and AC form both a line and an angle.

Mathematics
2 answers:
babunello [11.8K]2 months ago
5 0

Answer:

An angle occurs when two rays share a common vertex, so rays AB and AC form angle CAB (or BAC). Meanwhile, a line is an infinite collection of points extending endlessly in both directions, which describes these rays as well.

Detailed explanation:

babunello [11.8K]2 months ago
4 0

A straight angle measuring 180 degrees is still considered an angle. You wouldn't question whether 179 degrees forms a valid angle; you would simply draw it. Adding just one degree more gives you 180 degrees, which is also an angle.

Thus, a line with point A placed in the center represents both a line and an angle simultaneously.

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Zina [12379]
The answer is 116.15

Step-by-step explanation:

The calculation is as follows: 1.95 - 30.00 - 7.20 - 38.50 = 38.50

This results in 77.65 = 38.50

Thus, x = $116.15

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26 days ago
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Suppose your parents are traveling on a work-related trip for a whole week. They left you P10,000 as allowance for the week to b
zzz [12365]

Answer:

This is how the money should be divided:

Each of my two younger siblings receives P3,000.

I will take P4,000.

The reasoning for this allocation stems from the principle that the eldest and youngest siblings should not receive equal portions when dividing assets.

Step-by-step explanation:

This division approach is the only sensible method to distribute P10,000 among myself and my younger siblings while ensuring no fractions are involved, maintaining whole peso amounts. Any other method would result in leftover change.

8 0
1 month ago
Segment JK has a length of 4.5 units. If segment LM has end points of L (3,1) and M (-1,4), how much longer than segment JK is s
Leona [12618]
Distance formula:
d= \sqrt{ (x_{2}-x_{1}) ^{2}+( y_{2} - y_{1} )^{2}}\\ d= \sqrt{ (3-(-1)) ^{2}+(1 - 4 )^{2}}\\ d= \sqrt{ (4) ^{2}+(-3)^{2}}\\ d=\sqrt{16+9}\\ d=\sqrt{25}\\ d=5

5 units-4.5 units=0.5 units

Segment LM exceeds segment JK by 0.5 units.
4 0
1 month ago
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In isosceles △ABC (AC = BC) with base angle 30° CD is a median. How long is the leg of △ABC, if sum of the perimeters of △ACD an
Leona [12618]

Important details about isosceles triangle ABC:

  • The median CD, which is drawn to the base AB, also acts as an altitude to that base in the isosceles triangle (CD⊥AB). This indicates that triangles ACD and BCD are congruent right triangles, each with hypotenuses AC and BC.
  • In isosceles triangle ABC, the sides AB and BC are equal, meaning AC=BC.
  • The base angles at AB are equal, m∠A=m∠B=30°.

1. Consider the right triangle ACD. The angle adjacent to side AD is 30°, which dictates that the hypotenuse AC is double the length of the opposite side CD relating to angle A.

AC=2CD.

2. Now, for right triangle BCD, the angle next to side BD is also 30°, so hypotenuse BC is twice the opposite leg CD linked to angle B.

BC=2CD.

3. To calculate the perimeters of triangles ACD, BCD, and ABC:

P_{ACD}=AC+CD+AD=2CD+CD+AD=3CD+AD;

P_{BCD}=BC+CD+BD=2CD+CD+AD=3CD+AD;

P_{ABC}=AC+BC+AB=2CD+2CD+AD+BD=4CD+2AD.

4. If the total of the perimeters of triangles ACD and BCD is 20 cm greater than the perimeter of triangle ABC, then

P_{ACD}+P_{BCD}=P_{ABC}+20,\\ \\3CD+AD+3CD+AD=4CD+2AD+20,\\ \\6CD+2AD=4CD+2AD+20,\\ \\2CD=20.

5. Given that AC=BC=2CD, the lengths of legs AC and BC of the isosceles triangles are 20 cm.

Answer: 20 cm.

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Inessa [12570]

Answer:

Step-by-step explanation:

A survey of 8225 Americans included age data collection.

The mean age was recorded as 42, whereas the median was noted as 37.

This indicates median < mean.

When the mean exceeds the median, it suggests the presence of right skewness in the data.

In a symmetrical distribution, mean and median align. If there is a discrepancy, the distribution is skewed.

Consequently, with the mean > median, the data is skewed to the right.

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1 month ago
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