Answer:
Step-by-step explanation:
Answer:
angle 1 = 61
Step-by-step explanation:
This is a little hard to explain without drawing a diagram .. but if you extend live vs until it intersects line p, you can form a triangle. Using corresponding angles rule for parallel lines, you have the exterior angle of the triangle with line p is 130, meaning the interior angle is 50 (angles on a straight line add to 180). Similarly, the interior angle of the triangle at S is 180 -111 = 69. So the two interior angles add to 50+ 69 = 119. Lastly, angle 1 is equal to the third interior angle of this triangle (due to vertically opposite angles being equal), so since angles in a triangle add to 180, angle 1 = 180 -119 = 61.
The answer is: " 8 " .
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Explanation:
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Let "x" represent the "original number".
2(x - 3) = 6 + (1/2)x ; Solve for "x" ;
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Multiple the ENTIRE EQUATION (both sides) by "2" ; to get rid of the fraction:
2*{2(x - 3) = 6 + (1/2)x} ;
to get:
4(x - 3) = 12 + x ;
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Let us expand the "left-hand side" of the equation:
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Note the "distributive property of multiplication" :
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a(b - c) = ab - ac ;
a(b +c) = ab + ac ;
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So; "4(x - 3)" = 4*x - 4*3 = 4x - 12 ;
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Rewrite the equation:
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4x - 12 = 12 + x ;
Subtract "x" from EACH side of the equation; and Add "12" to EACH SIDE OF THE EQUATION;
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4x - 12 - x + 12 = 12 + x - x + 12 ;
to get:
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3x = 24 ;
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Now, divide EACH side of the equation by "3" ; to isolate "x" on one side of the equation; and to solve for "x" ;
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3x/3 = 24/3 ;
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x = 8 .
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Answer:
Step-by-step explanation:
lets pick 2 points on the line....(6,5) and (10,3)
slope = (y2 - y1) / (x2 - x1)
(6,5)....x1 = 6 and y1 = 5
(10,3)....x2 = 10 and y2 = 3
now we sub
slope = (3 - 5) / (10 - 6) = -2/4 = -1/2
now we use y = mx + b
slope(m) = -1/2
u can use either of ur points...I will use (6,5)...x = 6 and y = 5
now we sub and find b, the y int
5 = -1/2(6) + b
5 = -3 + b
5 + 3 = b
8 = b
so ur equation is : y = -1/2x + 8 <===
