Answer:
see explanation
Step-by-step explanation:
∠ YXW = ∠ ZXV ( vertically opposite angles ) , so
4a + 15 = 2a + 65 ( subtract 2a from both sides )
2a + 15 = 65 ( subtract 15 from both sides )
2a = 50 ( divide both sides by 2 )
a = 25
Then
(7)
∠ ZXV = 2a + 65 = 2(25) + 65 = 50 + 65 = 115°
(8)
∠ YXW = ∠ ZXV = 115°
∠ ZXY and ∠ ZXV are adjacent angles and sum to 180° , that is
(9)
∠ ZXY = 180° - 115° = 65°
(10)
∠ VXW = ∠ ZXY = 65° ( vertically opposite angles
Answer:
x≠-1,1
Step-by-step explanation:
f(g(x)) is a composition where g(x) is is substituted for x in f(x).
Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.
|x|-1=0
|x|=1
x=1,-1
Answer:
x = -2
Step-by-step explanation:
Answer: 1795.
Step-by-step explanation:
The statement states that it was invented "177 years before".
It also states the year the video game was invented which is 1972.
1972-177=1795.
3 dumplings can be made by Serenity
<em><u>Solution:</u></em>
Given that,
Serenity has 
cups of dough to make dumplings
She uses 
cup of dough for each dumpling
To find: Number of whole dumplings made
From given information,
To find the number of whole dumplings made, we can divide the total cups of dough by cups of dough for 1 dumpling
Thus 3 dumplings can be made
