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hjlf
2 years ago
8

Find the degree measure of each angle in the triangle. Giving brainly

Mathematics
1 answer:
Lena [83]2 years ago
5 0

Answer:

∠ I = 39°, ∠ J = 51°, ∠ K = 90°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the3 angles and equate to 180

3x + 21 + 5x + 21 + 90 = 180, that is

8x + 132 = 180 ( subtract 132 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Then

∠ I = 3x + 21 = 3(6) + 21 = 18 + 21 = 39°

∠ J = 5x + 21 = 5(6) + 21 = 30 + 21 = 51°

∠ K = 90°

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3 years ago
Among 1,200 Chinese tourists who are visiting Nepal,45 of them already visited India,40 have visited Pakistan and 15 have visite
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30 visited nepal only 25 visited Pakistan only. 15 tourists at the intersection of the two circles and 1130 have not visited either

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3 years ago
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If g(x)= square root of 3-5x, find the domain of g'(x).
BaLLatris [955]

Answer:

domain: x>3/5

Step-by-step explanation:

First we need to derive our function g(x) to get a new function g'(x)

To do this we will have to apply chain rule because we have an inner and outer functions.

Our G(x) = square root(3-5x)

Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)

where d/dx(g(f(x)) = g'(x)

g(x) is the outer function which is x^1/2

f(x) is our inner function which is 3-5x

therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5

g'(f(x)) = -1/2(3-5x)^(-1/2)

Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)

But the domain is the values of x where the function g'(x) is not defined

In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined

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3 years ago
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2 years ago
Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities.
topjm [15]

Answer:

Step-by-step explanation:

WITHOUT replacement of first card drawn:

P(a 10 is drawn) = 13/52 = 1/4

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P(drawing two 10s without replacement of the first draw) = (1/4)(3/13) = 3/52

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16/169

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3 years ago
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