Answer:
- 34 < x < 10
Step-by-step explanation:
Inequalities of the type | x | < a, always have a solution of the form
- a < x < a
given | x + 12 | + 5 < 27 ( subtract 5 from both sides )
| x + 12 | < 22, then
- 22 < x + 12 < 22 ( subtract 12 from all 3 intervals )
- 34 < x < 10
Answer:
1) x= 3/2= 1 1/2
2) x= 2/3
Step-by-step explanation:
1)How many times as heavy as Whiskers is Piglio?
a) Write a multiplication equation for the question.
2 2/3 kg * [x]= 4kg
b) Write a division equation for the question.
4/ 2 (2/3) = x
c) Is the answer greater than 1 or less than 1?
Ans) Greater than 1
d) Find the answer
4/ 8/3= x
x= 3/2= 1 1/2
Pigilo is 1 1/2 times as heavy as whiskers
2)How many times as heavy as Piglio is Whiskers?
a) Write a multiplication equation for the question.
4 kg * [x]= 2 2/3 kg
b) Write a division equation for the question.
2 (2/3)/4 = x
c) Is the answer greater than 1 or less than 1?
Ans) Less than 1
d) Find the answer
8/3/4= x
8/3 * 1/4= x
2/3= x
Whiskers is 2/3 times as heavy as Pigilo.
Marked down 15% means the new price would be 85% of the original price ( 100%-15% - 85%)
Multiply the original price by 85%:
5250 x 0.85 = 4462.50
The new price is $4,462.50
Answer:

Step-by-step explanation:
In the diagram below we have
ABCD is a parallelogram. K is the point on diagonal BD, such that

And AK meets BC at E
now in Δ AKD and Δ BKE
∠AKD =∠BKE ( vertically opposite angles are equal)
since BC ║ AD and BD is transversal
∠ADK = ∠KBE ( alternate interior angles are equal )
By angle angle (AA) similarity theorem
Δ ADK and Δ EBK are similar
so we have


( ABCD is parallelogram so AD=BC)
( BC= BE+EC)


( subtracting 1 from both side )

taking reciprocal both side

A ray is a line that has a begining point, but no end point
a ray is 1 dimentional, it only goes one direction, left and right
a plane is 2 dimentional and extends indefinitely
it goes left and right and up and down
think of it like this
you have a piece of paper with no height
you draw a line starting at a point on the paper and it goes infinitely in the other direction
the paper is a plane, the line on it that has a starting point is the ray