The correct answer is option A
Answer:
Statement: angle QAU congruent to angle KAC
Reasoning: vert. angle congruenct thm
S: angle U congruent to angle C
R: Alt. Int. Angle Thm
S: Triangle QUA similar to Triangle KCA
R: AA Sim. Thm
Step-by-step explanation:
Practice a lot of proofs and you'll start seeing a pattern in them and it will become way easier.
Answer:
30 red marbles
Step-by-step explanation:
If the ratio is 2 red marbles for every 5 blue marbles then you would add them together to find out how many marbles are in one group.
2+5=7
There are 7 marbles in each group.
Now we have to find out how many total groups there are by dividing the total amount of marbles by the amount in each group.
105÷7=15
There are 15 groups of 7 marbles.
Looking back at the ratio, we know that the 15 groups each have 2 red marbles and 5 blue marbles. So if there is 2 red marbles 15 times (2 marbles in 15 groups) we would multiply.
2×15=30
There are 30 red marbles.
I hope that makes sense.
Answer:
3rd option
Step-by-step explanation:
Given
x³ - 7x² - 5x + 35 ( factor the first/second and third/fourt terms )
= x² (x - 7) - 5(x - 7) ← factor out (x - 7) from each term
= (x² - 5)(x - 7)
Answer:
$200
Step-by-step explanation:
4 different streets with 5 customers on each means 4*5 customers or 20 customers. If he has 20 customers and he gets $10 from each one, thats 20*10. he collected $200
