Answer:
First angle = 30°
Second angle = 60°
Third angle = 90°
Step-by-step explanation:
x + y + z = 180
y + z = 5x
z = y + 30
then:
y + (y+30) = 5x
2y + 30 = 5x
x = (2y+30)/5
then:
x + y + z = 180
{(2y+30)/5} + y + y+30 = 180
{(2y+30)/5} + 2y + 30 = 180
{(2y+30)/5} = 180 - 30 - 2y
{(2y+30)/5} = 150 - 2y
2y+30 = 5(150-2y)
2y+30 = 5*150 + 5*-2y
2y+30 = 750 - 10y
2y + 10y = 750 - 30
12y = 720
y = 720/12
y = 60°
x = (2y+30)/5
x = (2*60 + 30)/5
x = (120+30)/5
x = 150/5
x = 30°
z = y + 30
z = 60 + 30
z = 90°
Check:
x + y + z = 180°
30° + 60° + 90° = 180°
Answer:
A and C
Step-by-step explanation:
Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.
Options B and D give events which are most likely to be dependent, because if a driver texts while driving affects the possibility that the driver can get into the accident and if a woman lives in Alaska affects she can have a heavy winter coat.
Options A and C are two sets of most likely independent events, because the girl's singing does not affect on her wish to become a lawyer and a man's hair doesn't depend on where his father lives.
Hmm
(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2
basically
for
ax^2+bx+c
it is a perfect trinomial when
b=2(√a)(√c)
remember to take both positive and negative roots into consideration
because
(a+b)^2=a^2+2ab+b^2 and
(a-b)^2=a^2-2ab+b^2
see each
first one
-70=2(9)(4)
-70=72
false
second
-90=2(8)(5)
-90=80
false
third
-72=(9)(4)
-72=72
false
but, the last one could be negative
(9x-4)^2 is factor
that is the answer
the answer is 81x^2-72x+16
Answer:
2924
Step-by-step explanation:
2752 ÷ 16 = 172 ← number of points per coin
After collecting 17 points he will have collected
2752 + 172 = 2924 points in total
Answer:
Step-by-step explanation:
<u>Step 1: Set x to 4 and set y to -5</u>
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Answer:
