Answer: Below
Step-by-step explanation:
125% is essentially 1.25 or 125/100.
In mixed number form it's:
Answer:
xº=71º
Step-by-step explanation:
Take the triangle BDH
Once the sum of interior angles of a triangle is 180º:
40º+31º+yº=180º
71º+yº=180º
yº=109º
Once yº and xº are supplementary angles (add up to 180º):
yº+xº=180º
109º+xº=180º
xº=71º
Answer: the first option is the correct answer.
Step-by-step explanation:
Triangle ABC is a right angle triangle.
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠A as the reference angle,
AC represents the adjacent side of the right angle triangle.
BC represents the opposite side of the right angle triangle.
To determine the tangent of angle A, we would apply the Tangent trigonometric ratio. It is expressed as
Tan θ, = opposite side/adjacent side. Therefore,
Tan A = 5/5√3 = 1/√3
Rationalizing the surd, it becomes
1/√3 × √3/√3
Tan A = √3/3
Answer:
x = 3; y = 2
Step-by-step explanation:
x + y = 5
y = 2x - 4
<em>Isolate the y in the first equation</em>
y = 5 - x
y = 2x - 4
<em>Substitute the values</em>
5 - x = 2x - 4
<em>Isolate the Variable</em>
9 = 3x
<em>Simplify</em>
3 = x
<em>Plug that into the first equation</em>
3 + y = 5
<em>Subtract 3 from both sides</em>
y = 2
Answer:
x = 26
Step-by-step explanation:
m<RTS = 4x - 14 (given)
Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)
Therefore,
4x - 14 = 90
4x - 14 + 14 = 90 + 14 (addition property of equality)
4x = 104
4x/4 = 104/4
x = 26
