We know that m ║ n.
Let's first find the value 'x'.
When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.
This means that (5x + 16)° and (7x + 4)° are equivalent.
Equating them,
5x + 16 = 7x + 4
16 - 4 = 7x - 5x
12 = 2x
x = 12/2
x = 6°
Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.
5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.
7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.
Now let's find the value of 'y'.
If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.
This means that both those angles should add upto 180°.
Using that theory, the following equation can be framed:
(y + 6)°+ (7x + 4)° = 180°
Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.
(y + 6)° + 46° = 180°
y + 6 + 46° = 180
y + 52° = 180°
y = 180° - 52°
y = 128°
Therefore, the values of 'x' and 'y' are 46° and 128° respectively.
Hope it helps. :)
Sorry but grade math is this so I can have a better understanding
Let
x---------> amount of money saved by Mark
x---------> amount of money saved by Neil
we know that
x=y+258-------> equation 1
x/y=(7/4)-------> equation 2
substitute equation 1 in equation 2
(y+258) /y=7/4--------> 4*(y+258)=7*y------> 4y+1032=7y
7y-4y=1032--------> 3y=1032------> y=$344
x=344+258------>x=$602
the answer is
$602
Hello! :)
Use a proportion to find how many seconds are needed to fold 5 shirts.
We are given that he takes 28 seconds to fold 2 shirts:
28 sec : 2 shirts
We are not given the amount of time needed for 5 shirts, which we need to solve:
x seconds : 5 shirts
Express in a fraction:
Cross multiply and simplify:
Therefore, he needs 70 seconds to fold 5 shirts.
Answer:
f(x) = 0.43 * 
* 
*(x + 10)
Step-by-step explanation:
We have a 6th degree polynomial f(x)
r = 3 is a root of f with multiplicity 2
r = 1 is a root of f with multiplicity 3
f(-5) = -29721.6
f(-10) = 0
Then: f(x) = a*((x -3)^2 ) * ((x - 1)^3)*(x + 10)
f(-5) = a * (-8)^2 * (-6)^3 * (5) = -29,721.6
a* (64) * (-216)* 5 = -29,721.6
-a*69,120 = -29,721.6
a = -29,721.6/-69,120
a = 0.43
so
f(x) = 0.43 * * *(x + 10)
