Given:
AB is the diameter of a circle.
m∠CAB = 26°
To find:
The measure of m∠CBA.
Solution:
Angle formed in the diameter of a circle is always 90°.
⇒ m∠ACB = 90°
In triangle ACB,
Sum of the angles in the triangle = 180°
m∠CAB + m∠ACB + m∠CBA = 180°
26° + 90° + m∠CBA = 180°
116° + m∠CBA = 180°
Subtract 116° from both sides.
116° + m∠CBA - 116° = 180° - 116°
m∠CBA = 64°
The measure of m∠CBA is 64°.
The missing aspect of this question is shown in the attached image, which is that the letters correspond to vertices of a parallelogram.
A key feature of the parallelogram is that the diagonals bisect each other, therefore:
PT = TR
QT = TS
With this information we can now plug in the equations and solve for the variables x and y.
PT = TR
2x = y+4
y = 2x - 4
QT = TS
x + 2 = y
We now have two equations for the variable y. With this we can solve for x.
2x - 4 = x + 2
x = 6
y = x + 2
y = 6 + 2
y = 8
Once we solved for the variable x, we simply placed that value back into one of the previous equations and solved for y. The results are
x = 6, y = 8.
First determine slope of :
9x-7y=-3
-7y=-9x-3
7y = 9x+3
Y=(9/7)x + 3/7
Slope is 9/7
Answer:
Yes
Step-by-step explanation:
If the largest number squared is equal to the sum of the squares of the other 2 numbers, then Pythagorean triple
largest number = 7.5 and 7.5² = 56.25
2.1² + 7.2² = 4.41 + 51.84 = 56.26
Thus 2.1, 7.2 and 7.5 create a Pythagorean triple