In a parallelogram, the diagonals bisect each other.
That being the case,
6x = 72
x = 12
AND
x-5 = y
72 -5 = 67
y=67
x = 72
and the diagonals measure
144 and 134
Answer:
9975
Step-by-step explanation:
See attachment.
( 105 ) * ( 95 )
(100+5) * (100-5)
100*100 * (1 + 5/100) * ( 1 - 5/100)
10000 * ( 1 - 5/100 + 5/100 - {25/10000} )
- 5/100 + 5/100, they cancel each other out to 0
10000 * ( 1 + 0 - {25/10000} )
10000 * ( 1 - {25/10000} )
10000 - {25*10000/10000}
10000 - {25}
9975
Because these are two consecutive numbers and the first integer is x, the second integer must be x+1 (it could be x-1 too, but here I'm going to solve the problem with x+1).
The sum of the two integers is 57, so we have:
x+ (x+1)= 57
⇒ (x+ x)+ 1= 57 (associative property)
⇒ 2x+ 1= 57
⇒ 2x= 57-1
⇒ 2x= 56
⇒ x= 56/2
⇒ x= 28
Since x= 28, the first integer is 28, and the second integer is:
x+1= 28+1= 29
The two numbers are 28 and 29.
Hope it helps.
The awnser is 1/8
There are 20 different and 5 of them are yellow. 1/4 of them are yellow
1/2 chance of the coin have tails up
1/4 × 1/2 = 1/8
hope it helps
The expression of the translated function g(x) is gotten as; g(x) = 2x² - 3
<h3>How to Interpret Graph Translations?</h3>
We are given the function;
f(x) = 2x² + 3
Now, when we translate a function f(x) downwards, the new function becomes;
g(x) = f(x) - a
where a is the amount of units by which the graph was translated.
Thus for translation of 6 units vertically downwards;
g(x) = 2x² + 3 - 6
g(x) = 2x² - 3
Read more about Graph Translations at; brainly.com/question/26238840
#SPJ1
