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PilotLPTM [1.2K]
2 years ago
7

Can someone please help me with this question

Mathematics
2 answers:
lakkis [162]2 years ago
7 0

A. Angle 3 is a vertical angle to angle 2 which means they are the same.

Angle 3 = 76 degrees

B. Angle 6 is also the same as angle 2.

Angle 6 = 76 degrees

C. Angle 8 + angle 6 form a straight line which equals 180 degrees

Angle 8 = 180 - 76 = 104 degrees

ValentinkaMS [17]2 years ago
4 0

Answer:

76° , 76° , 104°

Step-by-step explanation:

(a)

∠ 2 and ∠  3 are vertically opposite angles and are congruent , then

∠ 3 = 76°

(b)

∠ 6 and ∠ 3 are alternate angles and are congruent , then

∠ 6 = 76°

(c)

∠ 6 and ∠ 8 are adjacent angles on a straight line and sum to 180° , then

∠ 8 = 180° - 76° = 104°

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2 years ago
Which equation represents a proportional relationship?
asambeis [7]

Given:

Four equations in the options.

To find:

The equation which represents a proportional relationship.

Solution:

If y is proportional to x, then

y\propto x

y=kx

where, k is the constant of proportionality.

In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.

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So, the equation y=\dfrac{1}{4}x represents a proportional relationship.

Therefore, the correct option is B.

6 0
2 years ago
For a certain​ candy, 15​% of the pieces are​ yellow, 1010​% are​ red, 2020​% are​ blue, 55​% are​ green, and the rest are brown
MatroZZZ [7]
A) the probability it is brown would be 50%; the probability it is yellow or blue would be 35%; the probability it is not green is 95%; the probability it is striped is 0%.
B) the probability of all brown would be 12.5%; the probability that the third one is the first red one drawn is 8.1%; the probability that none are yellow is 61.4%; the probability that at least one is green is 14.3%.

Explanation:
A) The probability that it is brown is the percentage of brown we have.  Brown is not listed, so we subtract what we are given from 100%:
100-(15+10+20+5) = 100-(50) = 50%.  The probability that one drawn is yellow or blue would be the two percentages added together:  15+20 = 35%.  The probability that it is not green would be the percentage of green subtracted from 100:  100-5=95%.  Since there are no striped candies listed, the probability is 0%.
B) Since we have an infinite supply of candy, we will treat these as independent events.  All 3 being brown is found by taking the probability that one is brown and multiplying it 3 times:
0.5*0.5*0.5 = 0.125 = 12.5%.  
To find the probability that the first one that is red is the third one drawn, we take the probability that it is NOT red, 100-10 = 90% = 0.9, for the first two, and the probability that it IS red, 10% = 0.1, for the last:
0.9*0.9*0.1 = 0.081 = 8.1%.

The probability that none are yellow is found by raising the probability that the first one is not yellow, 100-15=85%=0.85, to the third power:

0.85^3 = 0.614 = 61.4%.

The probability that at least one is green is computed by subtracting 1-(probability of no green).  We first find the probability that all three are NOT green:
0.95^3 = 0.857375
1-0.857375 = 0.143 = 14.3%.
3 0
3 years ago
Geometric mean. Find x, y, and z. Show work please.
Aleks [24]

Answer:

Step-by-step explanation:

i dont know the rest but the answer to x is 15 because the formula to that triangle is A^2+B^2=C^2

A=12

B=9

144(12^2) and 81 (9^2) add

225

find square root

15

z=15

4 0
3 years ago
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