Answer:
because x,y,z are in continuous proportion
=> x/y = y/z
<=> xz = y² =>
(1)
with (1), we have:
Step-by-step explanation:
I think the correct answer is c
To find the angles in these problems you have to do one of two things.
1) If we are looking for an interior angle with the exterior angle given, we can find the interior angle by subtracting the exterior angle from 180.
EX: Exterior angle K is 140. Therefore the interior angle is 40 (180 - 140 = 40).
2) If order to find an interior angle when you have other interior angles, add up the other interior angles and subtract them from 180.
EX) Interior angle A is 32 because the other angles are 120 and 28. (180 - 120 - 28 = 32)
ALSO, remember that the square is equal to 90 degrees. I've included an answer list for you below.
A = 32
B = 152
C = 65
D = 25
E = 37
F = 83
G = 97
H = 97
I = 83
J = 57
K = 40
L = 120
M = 60
N = 90
O = 79
P = 12
X-4y=-12
4x-y=12
eliminate y's
multily 2nd equaiton by -4 and add to top one
x-4y=-12
<u>-16x+4y=-48 +
</u>-15x+0y=-60
-15x=-60
divide both sides by -15
x=4
sub back
x-4y=-12
4-4y=-12
minus 4 both sides
-4y=-16
divide both sides by -4
y=4
x=4
y=4
(x,y)
(4,4)<u>
</u>
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's first establish that the shape is a triangle meaning that the following formula is applicable as displayed below:
Angle sum of a triangle = 180°
As well as this, the shape is an equilateral triangle meaning that each angle of the triangle is equivalent in value. Also, the following formula is also applicable as displayed below:
Each angle of an equilateral triangle = the same value
Therefore:
Each angle of an equilateral triangle = angle sum of a triangle ÷ no. of angles in a triangle = 180° ÷ 3 = 60°
Based on this, the following is applicable:
2x - 4 = 60°
2x = 60 + 4
2x = 64
x = 64 / 2
x = 32°
ANSWER:
Therefore, the answer is:
The value of ( x ) is 32°
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