Answer:
y = 5.6
Step-by-step explanation:
Use Sine
Sine =
Sine 45 =
Sine of 18 is 0.309
0.309 =
Multiply 18 on both sides
0.309 x 18 = x 18
5.562 = y
Round to the nearest tenth:
5.562 = 5.6
Two parallel lines are crossed by a transversal. What is the value of x?
2 answers:
Answer:
The correct option is 4.
Step-by-step explanation:
If a transversal line intersect two parallel lines then the corresponding angles are congruent.
From the given figure it is clear that the transversal line t intersect the two parallel lines r and s. So, x° and 115° are corresponding angles because they have same relative position at both intersections.
On equating both the sides we get
The value of x is 115, therefore the correct option is 4.
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The set X is convex.
In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.
b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.
c)set X is not a closed set as the compliment of the set is not an open set.
d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.
To learn more about convex sets:
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