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Svetllana [295]
2 years ago
8

Parallel lines e and f are cut by transversal b. What is the value of y?

Mathematics
1 answer:
tatyana61 [14]2 years ago
6 0

Answer:

y = 130

Step-by-step explanation:

Those two exterior angles are equal (property of parallel lines)

y is thsupplement of 4x - 14

2x + 18 = 4x - 14                     Add 14 to both sides

2x + 18 + 14 = 4x - 14 + 14      Combine like terms

2x + 32 = 4x                           Subtract 2x from both sides

2x-2x+32=42-2x                    Combine

32 = 2x                                   Divide by 2

32/2 = x

16 = x

============

4x - 14 =64 - 14 = 50

y = 180 - 50

y = 130

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This is the concept of trigonometry, the distance from the foot of the ladder will be given by:
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
theta=37°
thus
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6 0
3 years ago
he Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top of the statue is 22.9 degree
Andru [333]

Answer:

is at a distance of 722 feet

Step-by-step explanation:

we have the angle that forms between the water and the imaginary line between the ship and the tip of the statue

we have the statue height that would be the opposite leg to our angle and we want to know the distance of the ship to the statue that would be the adjacent leg

we see that it has (angle, adjacent, opposite)

well to start we have to know the relationship between angles, legas and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

it's the tangent

tan α = o/a

we replace the values ​​and solve

tan α = o/a

tan 22.9 = 305/a

a = 305/tan22.9

a = 305/0.4224

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7 0
2 years ago
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I need help with #3 and #4 part b please help​
Svetradugi [14.3K]
<h3>Answer:</h3>

3)  likely

4)  1/2; equally likely

<h3>Step-by-step explanation:</h3>

3) You are being asked to translate a numerical value to a subjective statement. There are no hard-and-fast rules for this. Generally, the meanings of the terms you're asked to choose from are ...

  • impossible: probability is zero. The outcome cannot occur.
  • unlikely: chances are less than even; often, "unlikely" means a probability of 10%, 5%, 1% or lower, depending on the context.
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  • likely: more likely than not. Again, this depends on the context.
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An 80% probability is greater than 50%, so might reasonably be called "likely."

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4) a. Four of the eight numbers are even, so the probability of obtaining an even number at random is 4/8 = 1/2.

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4 0
3 years ago
Find the value of x in the diagram below. x =
padilas [110]

Answer:

x = 79°

Step-by-step explanation:

The arrows on the line segments indicate that the lines are <u>parallel</u>.

As the parallel line segments are the <u>same length</u>, the other pair of opposite line segments are also parallel and the same length.  Therefore, we can apply the Alternate Interior Angles Theorem.

<u>Alternate Interior Angles Theorem</u>

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Therefore, the missing angle in the triangle including angle x is 28°.

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⇒ x = 180° - 73° - 28°

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