Pls. see attachment.
We need to solve for the angles of the smaller triangle in
order to solve for the angle of the larger triangle which would help us solve
the missing measurement of a side.
Given:
51 degrees.
Cut the triangle into two equal sides and it forms a right
triangle. All interior angles of a triangle sums up to 180 degrees.
180 – 51 – 90 = 39 degrees
39 degrees * 2 = 78 degrees.
Angle Q is 78 degrees.
In the bigger triangle, 4.3 is the hypotenuse. We need to
solve for the measurement of the long leg which is the opposite of the 78
degree angle.
We will use the formula:
Sine theta = opposite / hypotenuse
Sin(78 deg) = opposite / 4.3
Sin(78 deg) * 4.3 = opposite
4.21 = opposite. This is also the height of the triangle.
Area of a triangle = ½ * base * height
A = ½ * 3units * 4.21units
A = 6.315 square units.
Cos(x°) = (√3)/2
cos⁻¹[(√3)/2] = x°, that means x° = 30°
The missing length in the right triangle as given in the task content is; 156.
<h3>What is the missing length indicated?</h3>
It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;
x² = 144² + 60²
x² = 20736 + 3600
x² = 24,336
x = √24336
x = 156.
Remarks: The complete question involves a right triangle and the missing length is the longest side.
Read more on Pythagoras theorem;
brainly.com/question/343682
#SPJ1
Answer:
B
Step-by-step explanation:
40/100 is equal to 40% so 24/x =40/100 means 24 is 40% of x
Multiply x<span> and </span>3
<span>Multiply x and 1</span>
<span>The x just gets copied along.</span>
<span>The answer is x</span>
x
<span>3*x evaluates to 3x</span>
Because of the minus sign
<span>3x becomes - 3x</span>
<span>The answer is -3x</span>
<span>Multiply y and 2</span>
<span>Multiply y and 1</span>
<span>The y just gets copied along.</span>
<span>The answer is y</span>
y
<span>2*y evaluates to 2y</span>
<span>-3*x-2*y evaluates to -3x-2y</span>
<span>The answer is -3x-2y-2</span>
<span>-3*x-2*y-2 evaluates to <span>-3x-2y-2</span></span>
<span><span>so the first one is right</span></span>
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