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likoan [24]
3 years ago
6

2. Given that set M = {Even numbers between 20 and 35), find n(m)​

Mathematics
2 answers:
Advocard [28]3 years ago
8 0

Step-by-step explanation:

Set M = {20,22,24,26,28,30,32,34}

n(M) = no. of elements in set M

i.e.

n(M) = 8

rjkz [21]3 years ago
7 0

Answer:

7

Step-by-step explanation:

Even numbers between 20 and 35 are 22, 24, 26, 28, 30, 32, 34.

M = { 22, 24, 26, 28, 30, 32, 34}

There are 7 elements in the set M.

Thus, n(M) = 7

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Answer: A,B,D,E

Step-by-step explanation: All of them either have a base and height of 4, or if its E, it is 8 by2. The formula for solving a triangle is base x height divided by 2. In this case, the two sides have to equal 16, as the area is 16/2, or 8

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Find angle D if angle B = 50
Mariana [72]
<h3>Answer:  80 degrees</h3>

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

Explanation:

I'm assuming that segments AD and CD are tangents to the circle.

We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.

By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.

----------------------------

Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.

Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.

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---------------------------

Here's what we have so far for quadrilateral DAEC

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Now we'll use the idea that all four angles of any quadrilateral always add to 360 degrees

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Or a shortcut you can take is to realize that angles E and D are supplementary

E+D = 180

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This only works if AD and CD are tangents.

Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.

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