Answer:
AB = 5.6 cm
Step-by-step explanation:
To find the length of side AB, which is one of the sides of right angled triangle ABC given above, we would apply the trigonometric ratio formula.
The given angle (θ) = 62°
Length of hypotenuse = BC = 12 cm
Length of adjacent side = AB = ?
We would use the following trigonometric ratio formula:
Cos(θ) = adjacent/hypotenuse
Multiply both sides by 12 to make AB the subject of formula
Length of side AB = 5.6 cm (approximated to 1 decimal place)
<u><em>The equation is already in the standard form.
</em></u>
=
10
x
+
5
The measure of the two vertical angles is 15°
The two vertical angles have measures (4x-21)° and (x+6)°
Note that:
The measure of two vertical angles are equal
Therefore, equate (4x-21)° and (x+6)° and solve for x
(4x-21)° = (x+6)°
4x - 21 = x + 6
Collect like terms
4x - x = 6 + 21
3x = 27
x = 27/3
x = 9
Substitute x = 9 into 4x - 21
4x - 21 = 4(9) - 21
4x - 21 = 15°
Substitute x = 9 into x + 6
x + 6 = 9 + 6
x + 6 = 15°
Learn more here: brainly.com/question/25600404
C because one x-value can ONLY have one corresponding y-value. It cannot have more than one.
