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sineoko [7]
3 years ago
8

Two parallel lines are crossed by a transversal. What is the value of x?

Mathematics
2 answers:
Anika [276]3 years ago
8 0
X=115

Because S & T are parallel lines. So line t crossing through both of them give you them same values for corresponding parts.
disa [49]3 years ago
7 0

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.

x^{\circ}=115^{\circ}

On equating both the sides we get

x=115

The value of x is 115, therefore the correct option is 4.

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photoshop1234 [79]

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Step-by-step explanation:

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2 years ago
Please help, been struggling with this for almost a week now.
nikitadnepr [17]

Answer:

A \approx 1140.3\ units^2

Step-by-step explanation:

To solve this problem we first need to find the diameter of the circle. We are told the point N is the circle, so we can assume it is the center of the circle. To find the diameter we can use the Pythagorean Theorem:

a^2 + b^2 = c^2\\40^2 + 9^2 = c^2\\1600 + 81 = c^2\\1681 = c^2\\\sqrt{1681} = c\\41 = c

The diameter is 41 units, which means the radius is \frac{41}{2}. From here we can calculate the area of the circle:

A_c = \pi r^2\\A_c = \pi (\frac{41}{2})^2\\A_c = \pi 420.25\\A_c \approx 1320.25

Now we need to subtract the area of the triangle from the area of the circle. Calculate the area of the triangle:

A_t = \frac{bh}{2}\\A_t = \frac{40 \times 9}{2}\\A_t = \frac{360}{2}\\A_t = 180

Subtract the triangle area from the circle area to get the area of the shaded area:

A = A_c - A_t\\A = \pi420.25 - 180\\A = 1140.25431\\A \approx 1140.3\ units^2

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2 years ago
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