Answer:
< 1 = 125 degrees
< 2 = 55 degrees
< 3 = 125 degrees
< 4 = 55 degrees
< 5 = 125 degrees
< 6 = 55 degrees
< 7 = 125 degrees (given)
< 8 = 55 degrees
Step-by-step explanation:
1 and 3 are equal because they are vertical angles, therefore proving their congruence.
7 and 1 are equal because they're alternate exterior angles, which are congruent.
2 and 4 are vertical, which is congruent.
5 and 7 are vertical.
6 and 8 are vertical.
Answer:
B im pretty sure
Step-by-step explanation:
Write out the expression 2 - (2x-7)^2. That's it.
But if you want to go further and remove the parentheses, first expand (2x-7)^2: (2x-7)^2 = 4x^2 - 28x + 49,
and then subtract this result from 2:
2 - (4x^2 - 28x + 49) (It's important to use parentheses here)
Now, following the distributive property of multiplication, remove the parentheses:
2 - 4x^2 + 28x - 49
Combining the constants, we get the final answer: - 4x^2 + 28x - 47
Answer:
<em>y = 0.14t + 481</em>
Population in 17 years: <em>483.38</em>
Step-by-step explanation:
y = (m) (x) + b
y = (slope) (x) + starting value
Answer:
B. 455
Step-by-step explanation:
The order in which the toppings are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:
3 toppings from a set of 15. So

455 3-topping sundaes can be made.