Answer:
The value of a is 9 and b is -8
Step-by-step explanation:
We need to find two numbers that add up or subtract off to 1.
Then we also use the same two numbers that multiply and get -72.
Let's see:-
- 9 and -8 seem like correct values.
Because 9+(-8) is 9-8 = 1
And 9(-8) is -72.
Therefore:
The value of a is 9 and the value of b is -8 according to form of (x+a)(x+b)
Well, that would be 1.5x7.. which is 10.5 :) your welcome
X ≤ <span>− 3; First solve for the (), so </span><span><span>−<span>9x</span></span>−6</span>≥<span><span>−<span>3x</span></span>+12. Then you combine </span>Add 3x to both sides: <span><span><span>−<span>9x</span></span>−6</span>+<span>3x</span></span>≥<span><span><span>−<span>3x</span></span>+12</span>+<span>3x</span></span><span><span><span>−<span>6x</span></span>−6</span>≥<span>12
Same for 6 : </span></span><span><span><span>−<span>6x</span></span>−6</span>+6</span>≥<span>12+6</span><span><span>−<span>6x</span></span>≥18
</span><span>Divide both sides by -6; Your done!</span>
Focus on the top line angles for now.
Those two angles combine to the straight angle ABC, which is 180 degrees.
(angleABY) + (angleYBC) = angle ABC
(x+25)+(2x+50) = 180
(x+2x) + (25+50) = 180
3x+75 = 180
3x = 180-75
3x = 105
x = 105/3
x = 35
We'll use this x value to find that:
- angle YBC = 2x+50 = 2*35+50 = 70+50 = 120 degrees
- angle BEF = 5x-55 = 5*35-55 = 175-55 = 120 degrees
Angles YBC and BEF are corresponding angles (they are both in the northeast corner of their respective four-corner angle configuration). They are both 120 degrees. Since we have congruent corresponding angles, we have effectively proven that AC is parallel to DF. Refer to the converse of the corresponding angles theorem.
The regular version of the "corresponding angles theorem" says that if two lines are parallel, then the corresponding angles are congruent. The converse reverses the logic of the conditional statement. Meaning that if the corresponding angles are congruent, then the lines are parallel.
Answer:
B
Step-by-step explanation:
