Answer:
see explanation
Step-by-step explanation:
Given AB ≅ BC, then
AB = BC = x + 6 , and
AC = AB + BC ← substitute values
3x - 31 = x + 6 + x + 6, that is
3x - 31 = 2x + 12 ( subtract 2x from both sides )
x - 31 = 12 ( add 31 to both sides )
x = 43
Hence
AB = BC = x + 6 = 43 + 6 = 49
AC = 3x - 31 =(3 × 43) - 31 = 129 - 31 = 98
Answer:
three u's and an I
Step-by-step explanation:
3×3=9
that's 3 u's so if you add an I its 10
The answer to this rests on knowing that there are four properties of multiplication (which your teacher will likely expect you to know...):
These are:
1. commutative
2. associative
3. multiplicative identity
4. distributive
I won't define each of these -- they should be in your notes or textbook. Look them up.
In this case, we are multiplying three terms together -- on the left hand side the parentheses mean to multiply a and b first, then multiply that by 3. On the right hand side, we multiply b times 3 first, and then multiply the product by a.
This would be an example of the associative property of multiplication: when three or more factors are multiplied together, the product is the same regardless of how the factors are grouped.
Hope this helps!
Good luck
Answer:
180
Step-by-step explanation:
The difference between 68 and 23 is 45. The company charging 23$ has to be 45$ more for the amount of hours. When you multiply 180 by .4 you get 72, and when you multiply 180 by .65 you get 117. The difference is 45.
Sorry that I didn't show my work, I don't really know how to do this other than plugging in random numbers and 180 fits so...
Hope this helps!
Answer:
<h2>2(-14x-4y-1) /
-28x-8y-2</h2>
Step-by-step explanation:
2(3x + 12y - 5 - 17x - 16y +4)
the 2 outside the bracket means we need to multiply everything by 2
=
6x+24y-10-34x-32y+8
now put all the like-terms together
6x-34x+24y-32y+8-10
now add them together
=-28x-8y-2
now find the HCF
2
put 2 outside the bracket and then divide every number by 2
2(-14x-4y-1)
this is as simplified it can get
