Answer:
the 2nd
Step-by-step explanation:
Answer:
x < -4 or x > 8
On a number line, make two arrows:
1) going towards left from -4 with an open circle at -4
2) going towards right from 8 with an open circle at 8
Step-by-step explanation:
l -4 +2x l -3 > 9
l -4 +2x l > 12
l 2x - 4 l > 12
2x - 4 > 12
2x > 16
x > 8
-2x + 4 > 12
-2x > 8
x < -4
On a number line, make two arrows:
1) going towards left from -4 with an open circle at -4
2) going towards right from 8 with an open circle at 8
Katherine earned $15 an hour, divide $105 by the seven hours she worked
Answer:
AB=14
Step-by-step explanation:
First you write the equation 2(2x-4)=28 because if b is the midpoint then AB is half of the line so you multiply that half by two the make it equal to the whole line.
Then you distribute the two and get 4x-8=28.
Then you add 8 to 28 and get 36.
Then you divide 36 by 4 because the 4 and x are being multiplied together so you have to divide to get them apart.
So then you get x=9 and you aren't done yet because you have to plug x into 2x-4.
So it is 2(9)-4 which is 18-4 which equals 14.
Question 11a)
We are given side BC equals to side CE and angle CBA equals to angle CED
We also know that angle ACB equals to angle ECD are equal (opposite angles properties)
We have enough information to deduce that triangle ABC and triangle CDE are equal by postulate Angle-Side-Angle (ASA)
---------------------------------------------------------------------------------------------------------------
Question 11b)
We are given side AB equal to side ED, side BC equals to side EF, and side AC equals to side DF
We have enough information to deduce that triangle ABC and triangle DEF congruent by postulate Side-Side-Side (SSS)
----------------------------------------------------------------------------------------------------------------
Question 11c)
We are given side AC equals to side DF, angle ABC equals to angle DEF, and angle BAC equals to angle EDF
We have enough information to deduce that triangle ABC congruent to triangle DEF by postulate Angle-Side-Angle (ASA)
-----------------------------------------------------------------------------------------------------------------
Question 11d)
We do not have enough information to tell whether this shape congruent or not
