Answer:
x = 7
Step-by-step explanation:
x+16 = 4x-5
7+16=23
4x7=28-5=23
Vertical angle theorem states that angles vertically opposite to one another are equal
First you do 3a^4(2b^6c^3)^2
=12a^4b^12c^6
Answer:
A
Step-by-step explanation:
The measurements of the segments fall on similar triangles. This means the lengths of each segment can be found using proportions.
Remember, a proportion is an equation which sets equal ratios equal to each other.
To solve for c, multiply numerators and denominators across the equal sign:
24c = 32(15)
24c = 480
c = 20
<u>Answer:</u>
Minimum possible area = 6.75 km^2
Maximum possible area = 13.75 km^2
<u>Step-by-step explanation:</u>
This question relates to significant figures so assuming that each of the given values is rounded off to the nearest kilometer.
So we can find the minimum and maximum possible areas of the rectangle.
Minimum possible area of rectangle = 1.5 × 4.5 = 6.75 square kilometers
Maximum possible area of rectangle = 2.5 × 5.5 = 13.75 square kilometers
Permutations
slot method
8 slots
1st slot has 8 choices
2nd has 7 because 1 went to first slot
3rd has 6
4th has 5
5th has 4
6th has 3
7th has 2
8th has 1
8*7*6*5*4*3*2*1=40320 ways
