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3 years ago

Angle formed by two parallel lines cut by a third line. These angles are in the same position and have the same angle measure

Mathematics

1 answer:

Korvikt [17]3 years ago

7 0

Answer:

Corresponding angles

Step-by-step explanation:

The name of these angels lying in the same position are called corresponding angle.

These angles are equal. When we talk of parallel lines, they are sets of lines that travel in the same direction but never meet. The third line that cuts through the two sets of parallel lines is referred to as the transversal line.

So the positions of these angles on each of the set of the parallel lines are equal in each of the cases and they are equal and are referred to as being corresponding to each other

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Find the surface area of the solid figure below:

Artemon [7]

Answer:

190

Step-by-step explanation:

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Purchasing A regional survey found that 70% of all families who indicated an intention to buy a new car bought a new car within

zheka24 [161]

Answer:

If a family chosen at random bought a car, we need to find the probability that the family had not previously indicated an intention to buy a car = P(I'|B) = 0.3362

Step-by-step explanation:

Let the event that a family that intends to buy a car be I

Let the event that a family does not intend to buy a car be I'

Let the event that a family buys a car in those 3 months be B

Let the event that a family does not buy a car in those 3 months be B'

Given,

P(B|I) = 0.70

P(B|I') = 0.10

P(I) = 0.22

P(I') = 1 - P(I) = 1 - 0.22 = 0.78

If a family chosen at random bought a car, we need to find the probability that the family had not previously indicated an intention to buy a car = P(I'|B)

The conditional probability P(A|B), is given as

P(A|B) = P(A n B) ÷ P(B)

So,

P(B|I) = P(B n I) ÷ P(I)

P(B n I) = P(B|I) × P(I) = 0.70 × 0.22 = 0.154

P(B|I') = P(B n I') ÷ P(I')

P(B n I') = P(B|I') × P(I') = 0.10 × 0.78 = 0.078

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P(B') = 1 - 0.232 = 0.768

P(I'|B) = P(B n I') ÷ P(B)

= 0.078 ÷ 0.232 = 0.3362

Hope this Helps!!!

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3 years ago

What are the next 4 numbers below? 20, 15, 10, 5, _, _, _, _

Leona [35]

Since you are subtracting 5 each time, just continue to subtract 5 and go into negative numbers. So, the next four numbers would be 0,-5, -10, and -15. Hope I helped, could I get brainliest :)

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A flag pole is 12 ft high in the air. The Distance from the top of the pole to a point on the ground where Janae is standing is

Tema [17]

Janae is standing at a distance of 9 feet from the bottom of pole

Solution:

The flag pole, and the point where Janae is standing and the ground forms a right angled triangle

The figure is attached below

ABC is a right angled triangle

AB is the height of pole

AB = 12 feet

C is the point where Janae is standing

AC is the distance from the top of the pole to a point on the ground where Janae is standing

AC = 15 feet

BC is the distance between bottom of pole and the point on the ground where Janae is standing

We have to find BC

We can use pythagoras theorem for right angled triangle

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition for right angled angle triangle ABC,

$AC^2 = AB^2+BC^2$

Substituting the values we get,

$15^2=12^2+BC^2\\\\225 = 144 + BC^2\\\\BC^2 = 225-144\\\\BC^2=81\\\\\text{Taking square root on both sides }\\\\BC = 9$

Thus she is standing at a distance of 9 feet from the bottom of pole

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