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erastovalidia [21]
3 years ago
5

Triangle ABC is represented by the drawing below.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

Step-by-step explanation:

Therefore,

(x+20) + (x-10) + (2x-30) = 180° (Sum of interior angles of a triangle)

Or, x+x+2x+20-10-30 = 180°

Or, 4x-20 = 180°

Or, 4x= 180+20

Or, 4x= 200°

Or, x= 200°/4

Therefore, x= 50°

So,

(x+20)

= 50+20

=70°

(x-10)

= 50-10

40°

(2x-30)

= 2×50-30

=100-30

=70°

Hope it helped, If it did, please mark it as the brainliest answer :)

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sladkih [1.3K]

Answer:

f(x)=(x-4)^{2}

Step-by-step explanation:

we have that

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we know that

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so

<em>Verify each case</em>

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f(x)=(x+4)^{2}

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therefore

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<em>case b)</em> we have

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3 years ago
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valentinak56 [21]

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How many solutions are possible for a triangle with A = 113° , a = 15, and b = 8
statuscvo [17]

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One solution.

Step-by-step explanation:

To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A  it is equal to side b divided by the sine of angle B,  and also equal to side c divided by the sine of angle C</em>".

Using the law of sines we have:

\frac{sin(A)}{a} = \frac{sin(B)}{b}

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Solving for B, we have:

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Therefore, the measure of the third angle is: ∠C = 37.6°

There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.

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7 0
3 years ago
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