<h3>
Answer: 3x - 4y = 40</h3>
======================================
Work Shown:
y = (3/4)x - 10
4y = 3x - 40 .... multiply everything by 4 to clear out the fraction
4y+40 = 3x
40 = 3x-4y
3x-4y = 40
This is in the form Ax+By = C
A = 3, B = -4, C = 40
This is not the only solution possible since we can multiply both sides by some number to scale the equation.
Step-by-step explanation:
in such a case, where we have all the sides and need angles, the best tool is the extended Pythagoras (for general triangles and not just for right-angled ones) :
c² = a² + b² - 2ab×cos(C)
c is the side opposite of angle C.
the side opposite of B is CA.
so, we have
220² = 100² + 160² - 2×100×160×cos(B)
48,400 = 10,000 + 25,600 - 32,000×cos(B)
12,800 = -32,000×cos(B)
cos(B) = -12,800/32,000 = -0.4
B = 113.5781785...° ≈ 114°
Answer:
1.) - 1/2
2.) the slope is 0 which means it is a vertical line
Step-by-step explanation:
In order to solve this you take the formula
y-y / x-x
and put they y value and x value of each equation in
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 first one is 31.875 and the second is 12 I don't know how to explain to get it. Sorry