Answer:
x = -19; y = 25/3
Step-by-step explanation:
Step 1: solve the equation with only one variable
Isolate the variable (x)
x + 10 = -9
x = -9 - 10
x = -19
Step 2: input new information into the other equation
If x = -19, then:
2(-19) - 6y = 12
Isolate the variable (y)
-38 - 6y = 12
-6y = 12 + 38
-6y = 50
y = 50 ÷ 6
y = 50/6
Simplify
y = 25/3
Answer:
64°
Step-by-step explanation:
First, we have to find the angle situated in R, the addition of all angles in a triangle is 180° so that means:
x + 68 + 48 = 180
x = 180-116 = 64°
Now, remember that this angle (64°) is the same as this one = ?, thanks to one property.
So basically, that angle has the same value as that one.
? = 64°
Hope it was helpful ;)
Answer:
![114.59\°](https://tex.z-dn.net/?f=114.59%5C%C2%B0)
Step-by-step explanation:
we know that
The circumference of a circle is equal to
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
In this problem we have
![r=3\ cm](https://tex.z-dn.net/?f=r%3D3%5C%20cm)
substitute
![C=2\pi (3)=6 \pi\ cm](https://tex.z-dn.net/?f=C%3D2%5Cpi%20%283%29%3D6%20%5Cpi%5C%20cm)
Remember that
subtends the arc length of the complete circle
so
by proportion
Find the measure of the central angle for an arc length of ![6\ cm](https://tex.z-dn.net/?f=6%5C%20cm)
![\frac{360}{6\pi } \frac{degrees}{cm} =\frac{x}{6} \frac{degrees}{cm} \\ \\x=6*360/(6\pi )\\\\ x=114.59\°](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7B6%5Cpi%20%7D%20%5Cfrac%7Bdegrees%7D%7Bcm%7D%20%3D%5Cfrac%7Bx%7D%7B6%7D%20%5Cfrac%7Bdegrees%7D%7Bcm%7D%20%5C%5C%20%5C%5Cx%3D6%2A360%2F%286%5Cpi%20%29%5C%5C%5C%5C%20x%3D114.59%5C%C2%B0)
Answer:
If he spins a spinner with 5 equal sections they have equally likely probability of 20%
If he rolls a fair die in the shape of pyramid with 4 sides each side has probability of 25%
If he rolls a fair die in the shape of cube with 6 sides each side has probability of 16.7
Total number of outcomes = 5 * 6 * 4 = 120
3 carnations, you find the lowest common multiple.