Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
Answer:
You can substitute
4
as
x
in the first equation because
x
and
4
are equal.
2
(
4
)
+
y
=
29
8
+
y
=
29
y
=
21
Step-by-step explanation:
Answer:
60,000 grams
Step-by-step explanation:
Find how many grams she weighs by finding how many grams are in 60 kilograms.
There are 1000 grams in a kilogram, so to find her weight in grams, multiply 60 by 1000:
60(1000)
= 60,000
So, Julie weighs 60,000 grams
Answer:
b = -1
Step-by-step explanation:
Solve for b means, write in the form of b =...
Given
+ b = - 1 and this is the same as b = - 1.
That is because the plus sign has no real meaning here, so you can ignore it as if it was not there at all.
It so turns out you now have the answer!
