Answer:
The value of AM = 43
Step-by-step explanation:
As point M is the midpoint of AB, so
Given
AB = 8x - 50
AM = 2x + 9
so substituting AB = 8x - 50 and AM = 2x + 9 in the equation AB = AM + BM
AB = AM + BM
8x - 50 = 2x + 9 + BM
8x - 2x - 50 - 9 = BM
6x - 50 = BM
Thus,
BM = 6x - 59
As
AM = BM
so substituting AM = 2x + 9 and BM = 6x - 59 in the equation AM = BM
2x + 9 = 6x - 59
switch sides
6x - 59 = 2x + 9
subtract 2x from both sides
6x - 2x - 59 = 2x + 9 - 2x
4x - 59 = 9
add 59 to both sides
4x - 59 + 59 = 9 + 59
4x = 68
divide both sides by 4
4x/4 = 68/4
x = 17
Thus, the value of x = 17
Therefore, the value of AM will be:
AM = 2x + 9 = 2(17) + 9 = 34 + 9 = 43
Hence, the value of AM = 43
<u>Verification:</u>
AM = BM
2x + 9 = 6x - 59
2(17) + 9 = 6(17) - 59
34 + 9 = 102 - 59
43 = 43
and
AB = 8x - 50 = 8(17) - 50 = 86
Answer:
Rational
Step-by-step explanation:
5.74 is the same as 5.74 over 1. In other words, 5.74 can be written with a numerator and denominator, like this:
5.74 = 5.74/1
5.74 x 100/ 1 x 100
You can multiply the numerator and denominator of any fraction by the same number and keep the value of the fraction the same. Here we will multiply the numerator and denominator by 100 to get rid of the decimal point.
5.74 × 100/ 1 × 100
When we calculate the numerator and the denominator above, we get this fraction:
574/100
The fraction above is the same as 5.74. Furthermore, the numerator and the denominator of the fraction above are integers. Therefore, we can conclude that the answer to "Is 5.74 a rational number?" is yes.
Answer:
Rate of depreciation per year is 4310 $/ year and the depreciation schedule is given below.
Step-by-step explanation:
According to the question,
since, it is straight-line depreciation,
rate of depreciation per year = 
$/year
= 4310 $/ year
So we can prepare the following table. (year = 0 for the base period)
Year Depreciation Accumulated Book value
expense depreciation
( in $) (in $) (in $)
0 0 0 21920
1 4310 4310 17610
2 4310 8620 13300
3 4310 12930 8990
4 4310 17240 4680
Answer:
its 1/7
Step-by-step explanation:
give braialiest pls
Answer:
Andre scored 14 points in the game.
Step-by-step explanation:
Question :
Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If
Noah scored 10 points, how many points did Andre score?
Given:
Diego scored 9 points less than Andre in the basketball game.
Noah scored twice as many points as Diego.
Noah scored 10 points
To find Andre's points.
Solution:
Let Andre's score be = 
points
Then, Diego's points will be = 
points
Noah's points will be = 
points
Noah's points given = 10 points.
Thus, the equation can be given as:
Solving for .
Dividing both sides by 2.
Adding 9 both sides.
∴ 
Thus, Andre scored 14 points in the game.
