Answer: The next two numbers are 6,480, -38,880.
Step-by-step explanation:
The pattern is to multiply each consecutive term by (-6). Understand that a negative number times a positive number is a negative number (eg: 5 x - 6 = -30).
A negative number times a negative number is a positive number
(eg: -30 x -6 = 180). Also, (-1,080 x -6 = 6,480.) (6,480 x -6 = 38,880).
Hope this helps.
Easy, showing work,
using the method FOIL (First,Outer,Inner, Last)
Take, (x+3)(x+5) and multiply,
First,
x*x=

Outer,
x*5=5x
Inner,
3*x=3x
Last,
3*5=15
Add the terms together,

+8x+15 (

+5x+3x+15)
Thus, your answer.
For a.
Since there are already two angles given for the triangle, we can measure the last angle using this formula:
90 + 55 + a = 180
Now solve for "a".
90 + 55 + a = 180
145 + a = 180
a = 180 - 145
a = 35°
For b.
From the picture above, the two triangle's tip are touching and having to form <em>vertical angles. </em>This means that the angles are congruent to each other.
Now that we have two angles in the second triangle(35 and 120), we can use the same formula:
35 + 120 + b = 180
Now solve for "b":
35 + 120 + b = 180
155 + b = 180
b = 180 - 155
b = 25°
The unit rate is how many calories are in 1 cup of cereal.
Set up a proportion:

Cross multiply and solve:

There are 100 calories per cup of cereal.
To get the calories in 4 cups of cereal, simply multiply the unit rate of 100cals/cup by 4.

There are 400 calories in 4 cups of cereal.