The counter example: m∠ ABC = 35°, and m∠ CBD = 25°.
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. When two planes intersect each other will create an angle.
Point C is the interior of ABD.
The measure of angle ABD is 60°.
The measure of angle ABC is 40°.
The measure of angle CBD is 20°.
Now when we add the angle ABC and CBD:
∠ ABC + ∠ CBD = 40° + 20°
∠ ABC + ∠ CBD = 60°
∠ ABC + ∠ CBD = ∠ ABD
The counter-example will be:
∠ ABD = ∠ ABC + ∠ CBD
60° = 35° + 25°
Therefore,
∠ ABC = 35° and ∠ CBD = 25°
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They consists of equations and unknown variables. There are 4 PCs and 8 Mac in the room
<h3>System of equation</h3>
They consists of equations and unknown variables
Let the number of PCs be x
Let the number of Mac be y
If Mke has 12 computers, then;
x + y = 12
If there are two Macs for every PC in his classroom, then;
y = 2x
Substitute
x + 2x = 12
3x = 12
x = 4
Recall y = 2x
y = 2(4)
y = 8
There are 4 PCs and 8 Mac in the room
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Answer:
15.
x = 40/9 = 4 4/9
z = 24/5 = 4 4/5
17.
x = 50
y ≈ 11.5
Step-by-step explanation:
15. Corresponding segments are proportional:
top right side / whole right side = x / 8
5/(5+4) = x/8
x = 8(5/9) = 40/9
x = 4 4/9
__
right side bottom / right side top = z / 6
z = 6(4/5) = 24/5
z = 4 4/5
____
17. The acute angles are complementary:
x = 90 -40 = 50
__
From the Pythagorean theorem:
y = √(15² -9.6²) = √132.84
y ≈ 11.5
