Answer:
∠1 is 33°
∠2 is 57°
∠3 is 57°
∠4 is 33°
Step-by-step explanation:
First off, we already know that ∠2 is 57° because of alternate interior angles.
Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.
Then, you basically just do some other pain-in-the-butt things after.
Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.
Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.
57° + 90° = 147°
180° - 147° = 33°
∠1 is 33°
Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.
This graph should help find the coordinates you need that was made of this inequality!
Answer:
6x + 24
Step-by-step explanation:
Using the distributive property (the distributive property of multiplication is a(b + c) = a * b + a * c), we get:
6(x + 4)
= 6 * x + 6 * 4
= 6x + 24
Let's represent the smaller number by x and the larger number x+23
x+x+23=65 x+23=21+23=44 So the two numbers are 21 and 44
2x+23=65
2x+23-23=65-23
2x=42
2x/2=42/2
x=21
Answer: 8.3%
Step-by-step explanation: we use the formula 1/12x100 to give us 8.3 % and then for chocolate we do the same to get the same percentage 8.3%. so the probability that haley chooses a cherry gumball and then a chocolate gumball is 8.3%.