<span>THE GIVEN QUESTION;
7x -3(4x-8) < 6x +12 - 9x
THE GIVEN INTERVAL OF X IS FROM [4,8] SO THE VALUE OF X ={4,5,6,7,8}
THE GIVEN QUESTION CAN BE EVALUATED TO
7x - 12x+ 24 < 12 - 3x
-5x + 24 < 12 - 3x //USING BODMAS RULE
NOW SUBSTITUTING THE VALUE OF X:
1) X=4 SOL: 4<0
2) X=5 SOL: -1<-3
3) X=6 SOL: -6<-6
4) X=7 SOL: -11<-9
5) X=8 SOL: -16<-12
HENCE THE VALUE OF X=7,8 SATISFY THE GIVEN INEQUALITY</span>
Step-by-step explanation:
Here
5x+16+7x-3+6x+5 = 180(being sum of triangle)
or, 18x=180-18
or, x= 162/18
so, x = 9
now,
here,
<ACD = <ACB(diagonals of parallelogram bisect eachother)
or, <ACD = 7x-3
or, <ACD = 7×9-3
or, <ACD = 63-3
So, <ACD = 60°
2.b..........................
Answer:
Step-by-step explanation:
First, simplify the equation they give you
125x+200≥1200 ---------> 125x≥1000---------->x≥8
So, x has to be greater than or equal to 8 which rules out b or d.
So the answers are narrowed down to a and c, the only difference is that the dot in A is filled in whereas the dot in c is not. In math, having a filled in circle means that value is included (≥ sign), so we will choose the answer a.
Hello!
The equation above has been written in slope-intercept form, which uses the following formua:
y = mx + b
In the formula above, “m” represents the slope of the line while “b” represents the y-intercept. With this knowledge, we can see that the given equation has a slope of (-5). You’ll notice, however, that the given equation does not have a “b” value. In this case, the fact that “b” is not included in the equation implies that this particular value is equal to zero.
Consequently, we have now come to the conclusion that the y-intercept (b) is equal to zero.
I hope this helps!
