Answer:
–1 < x < 4
Step-by-step explanation:
Let's solve your inequality step-by-step.
−6<2x−4<4
−6+4<2x−4+4<4+4(Add 4 to all parts)
−2<2x<8
(−2
/2)
<
(2x
/2
)< (8
/2)
(Divide all parts by 2)
−1<x<4
Answer:
Step-by-step explanation:
1.
sum > 8 or 9,10,11,12
events sum >8 are 36,45,54,63,46,55,64,56,65,66
no. of events=10
p=10/36=5/18
2.
P=291/2237
3.
4.
a.
P=5/246
b.
p=208/246=104/123
5.
yes no total
student 56 42 98
teacher 3 7 10
total 59 49 108
Difference means subtract, so we use subtraction:
*first we need to make the fractions have the same denominator
1/4 = 3/12
2/3 = 8/12
126(3/12) - 78(8/12)
*since the fraction in the first term is smaller than the second, make it improper
125(15/12) - 78(8/12)
now simply subtract:
125 - 78
= 47
15 - 8
= 7
* this is now (7/12)
now put them back together:
47(7/12)
That's the final answer!
The correct classification for the polygon would be a concave hexagon.
Answer:
57
Step-by-step explanation:
It is given in the question that length CDA = 57.
Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.
CDA = CD + AD
BCD = BC + CD
Since BC=AD and CD=CD
BCD = BC + CD is the same as CD + AD = CDA
Therefore BCD is the same length as CDA = 57
In other words, CDA is made up of a long side and a short side = 57
BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.
Hope this helped!
