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3 years ago

Find the measure of angle C of a triangle ABC, if: m∠A = ∝, m∠B = 2∝

Mathematics

1 answer:

Effectus [21]3 years ago

5 0

Answer:

The measure of ∠ C is 180°-3∝

Step-by-step explanation:

We are given a ΔABC

∠A = ∝

∠B = 2∝

Angle sum property of triangle : The sum of all angles of triangle is 180° is called angle sum property of triangle

So, ∠A+∠B+∠C=180°

∝+2∝+∠C=180°

3∝+∠C=180°

∠C=180°-3∝

Hence the measure of ∠ C is 180°-3∝

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Assume f(x)=-2x+8 and g(x)=3x. what is the value of (g o f)(3)

Olin [163]

Answer:

Step-by-step explanation:

(g o f)(3) = g(f(3))

We can find f(3) using its formula with x=3:

f(3) = -2·3 +8 = -6 +8 = 2

Now, we can find g(2) using its formula with x=2:

g(2) = 3·2 = 6

So, the composition value is ...

(g o f)(3) = 6

7 0

3 years ago

BRAINLIEST!!!

goldenfox [79]

Answer: $\frac{8}{17}$ or 8:17

Step-by-step explanation:

For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-

$\sin x=\frac{\text{side opposite to x}}{\text{Hypotenuse}}$

Given: A right triangle with hypotenuse = 68 units

The side adjacent to S = 60

Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get

$(68)^2=60^2+h^2\\\\\Rightarrow\ h^2=68^2-60^2\\\\\Rightarrow\ h^2=1024\\\\\Rightarrow\ h=\sqrt{1024}=32$

Thus, the side opposite to S = 32 units

Now, the trigonometric ratio for sin S is given by :-

$\sin S=\frac{\text{side opposite to S}}{\text{Hypotenuse}}\\\\\Rightarrow\sin S=\frac{32}{68}=\frac{8}{17}$

Hence, the trigonometric ratio for sin S = $\frac{8}{17}$ or 8:17

5 0

3 years ago

Which of the following represents the most accurate estimation of 4+8

UkoKoshka [18]

<span>5

estimating sums of single digit numbers which of the following represents the most accurate estimation of 4+8? answer 5,10,20, and 25</span>

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4 years ago

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-9=2x+9y what is the answer

MrMuchimi

Answer:

9y= -9-2x

y=-(2/9)x-1

Step-by-step explanation:

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3 years ago

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miv72 [106K]

Answer:

9x = 16

Step-by-step explanation:

2+2/3x=3/4

4/3x = 3/4

3x/4 = 4/3

9x = 16

8 0

3 years ago