Answer and Step-by-step explanation:
We see that the bottom two lines are parallel, which makes angle x and angle 5 "same-side corresponding angles". By definition, same-side corresponding angles are congruent. That means angle x = angle 5.
Note that you didn't provide any measures, so it is impossible to actually figure out an exact degree. However, angle x is the same degree as angle 5.
Hope this helps!
Answer:
14,850
Step-by-step explanation:
You need the sum of
3 + 6 + 9 + 12 + ... + 294 + 297
Factor out a 3 from the sum
3 + 6 + 9 + 12 + ... + 294 + 297 = 3(1 + 2 + 3 + 4 + ... + 98 + 99)
You need to add all integers from 1 to 99 and multiply by 3.
The sum of all consecutive integers from 1 to n is:
[n(n + 1)]/2
The sum of all consecutive integers from 1 to 99 is
[99(99 + 1)]/2
The sum you need is 3 * [99(99 + 1)]/2
3 + 6 + 9 + 12 + ... + 294 + 297 =
= 3 * [99(99 + 1)]/2
= 3 * [99(100)]/2
= 3 * 9900/2
= 14,850
Answer:
31.5 square feet of counter top
Step-by-step explanation:
x represents the number of square feet
40x + 750 = 2010 subtract 750 from both sides
40x = 1260 divide both sides by 40
x = 31.5
Answer:
1. The graph represents a proportional relationship
2. 70,000 miles
Step-by-step explanation:
1. The graph represents a proportional relationship since the graph line is straight and begins at the origin.
2. Plot 5.5 hours on the graph and it'll give you 70,000 miles
The first step to simplify this equation is to multiply the numbers
1512

×

next,, youll multiply the terms with the same base by adding their exponents
1512

finally,, youll add the numbers together
1512

since you cant simplify any further,, the correct answer to your question is 1512

let me know if you have any further questions
:)