<u>Answer:</u>
<u>Step-by-step explanation:</u>
<u>We know that:</u>
- x = y
- 2(70 + 60) + x + y = 360
<u>Work:</u>
- 2(130) + x + x = 360
- => 260 + 2x = 360
- => 2x = 360 - 260
- => 2x = 100
- => x = 50
Hence, <u>the value of x is 50°.</u>
Hoped this helped.
Answer:
Vertical Angels must: have pairs of opposite angles made by two intersecting lines.
Step-by-step explanation:
Let the two numbers be represented by x and y. Then xy = 4 and x + y = -5.
Solving the first equation for y, we get y = 4/x.
Subbing 4/x for y in the second equation, we get x + 4/x = -5.
Multiplying all three terms by x removes the fractional term:
x^2 + 4 = -5x
Rearranging terms in descending powers of x: x^2 + 5x + 4 = 0
Factoring, (x+1)(x+4)=0, so that x = -1 and x= -4 are roots / solutions.
Note that (-1)(-4) = 4 and that (-1) + (-4) = -5, as required.
Two such numbers are {-1, -4).
Answer:
GRAPH IS IN THE PICTURE BELOW
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Parallel lines A and B
Required
Determine the value of x
From the attachment, 2x and 4x are consecutive interior angles and the theorem of consecutive interior angles is that:
Solving further, we have:
Divide both sides by 6