Answer:
12x - 28° = 116°
7x + 32° = 116°
Step-by-step explanation:
12x - 28° and 7x + 32° are vertical angles. Vertical angles are congruent.
Therefore, to find the measure of each angle, we have to set each equation equal to each other as follows:
12x - 28° = 7x + 32°
Collect like terms
12x - 7x = 28 + 32
5x = 60
Divide both sides by 5
5x/5 = 60/5
x = 12
✔️12x - 28°
Plug in the value of x
12(12) - 28
= 144 - 28
= 116°
✔️7x + 32°
7(12) + 32
= 84 + 32
= 116°
100 times 100
When you want to multiply 100 by 100, count up all the zeros first.
There are 2 zeros in one 100 and 4 zeros in two 100's.
Since there are 4 zeros, that means 100 • 100 is a 1 followed by 4 zeros.
This means 100 • 100 = 10,000
100 multiplied by 100 is 10,000 (ten thousand)
Hope this helps!
The rule that describes this transformation is (x - 3, y + 1)
Step-by-step explanation:
Step 1:
The points of the trapezoid are
M; (-3, -1),
N; (-4, 3),
P; (1, 3), and
Q; (-1, -1).
Step 2:
To translate the points to 3 units on the left, we subtract the x coordinate by 3 because it is moved to the left. So x becomes x - 3.
In order to translate the points to 1 unit up, we add 1 to the y coordinate as it is moved in the positive direction of y. So y becomes y + 1.
Combining these we get (x, y) becomes (x - 3, y + 1).
Make the fractions have common denominators.
rings 5 / 9 * 5/5 = 25/45
earrings 5/15 * 3/3 = 15/45
So, now we can compare 25 to 15. 25 is 5/3 bigger than 15.
or the ring inventory is 1.666666666... times greater than the earring inventory.
Answer:
-13
Step-by-step explanation:
3x^3 - 2y^-6x^2y^2+xy
x=2/3 and y=1/2
Solve :
3x^3 - 2y^-6x^2y^2+xy
Put value of x and y in this equation
= 3(2/3)^3 - 2(1/2)^-6(2/3)^2(1/2)^2+(2/3)(1/2)
= -13
