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sergejj [24]
3 years ago
14

The supplement of angle t is 4 times the measure of angle t

Mathematics
1 answer:
posledela3 years ago
6 0
Supplementary angles need to equal 180 degrees
 one angle = t
the other angle = 4 x t or 4t
 so we now have t + 4t = 180

4 + 4t = 5t

so we have 5t = 180

divide both sides by 5:
t = 180 /5
t = 36
 so angle t = 36 degrees

the other angle = 4 x 36 = 144 degrees



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What is the result of subtracting the second equation from the first? \begin{aligned} -7x-y &= 0 \\\\ 7x+8y &= -6 \end{a
Kitty [74]

Answer:

-14x-9y=6

Step-by-step explanation:

We are given with two equations

first equation is  -7x-y=0

second equation is

7x+8y=-6

we find the result of subtracting two equation

subtract the second equation from the first, so

first equation - second equation, multiply second equation by -1  and then add it with first equation

-7x-y=0

-7x-8y=+6

Now add both equations, we get

-14x-9y=6

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Katalin drove 210 miles on her vacation. She drove an average of 1.4 times faster on the second 105 miles of her trip than she d
konstantin123 [22]

The answer is D. 180 divided by x. .


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Rewrite 10 + 12 using the GCF and factoring.
Airida [17]

Answer:

1st option

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10 + 12 ← factor out 2 ( the GCF of 10 and 12 ) from each term

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5 0
2 years ago
Which of the following expressions are equivalent?
Dmitry [639]

Answer:

B. 7(6x – 1) and 42x – 7 is equivalent

Step-by-step explanation:

A. –3(3x + 5) and –9x + 5

=–3(3x + 5)=-9x-15 not equivalent

B. 7(6x – 1) and 42x – 7

7(6x – 1)=42x-7 equivalent

C. –6(4x – 3) and –6x

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D. 5(2x + 3y) and 25xy

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4 0
3 years ago
Two of the 240 passengers are chosen at random. Find the probability that
hjlf

Step-by-step explanation:

there are in total 240 passengers.

out of these 240, there are 150+30=180 passengers that are in holiday.

and 240-180 = 60 passengers are not.

if we pick one passenger then the probability is 180/240 = 3/4 = 0.75 that he/she is on holiday.

remember : desired "events" over total "events".

i)

now we pick 2 passengers.

the probabilty for the first one to be on holiday is again

3/4 or 0.75.

if that event happens, then we have only 179 passengers out of now 239 to be on holiday.

and to pick one out of that pool to be on holiday is then

179/239 = 0.748953975...

and for both events to happen in one scenario we need to multiply both probabilities (it is an "and" relation, while an addition would be for an "exclusive or" relation).

the probabilty that we pick 2 passengers on holiday is

3/4 × 179/239 = 0.561715481... ≈ 0.5617

we cannot simply square the basic probability of 0.75 (0.75² = 0.5625), because that would mean we pick one passenger, then put him back into the crowd, and then pick a second time (with a chance to pick the same person again). like with rolling a die.

but that is not the scenario as I understand it. it is to pick a passenger, then keep that person singled out and pick a second passenger. hence the difference.

ii)

exactly one of the two is in holiday.

that means

either the first one is on holiday and the second one is not, or the the second one is and the first one is not.

now we model this logic statement in probabilty arithmetic.

please note that after the first pull we need to update the numbers for the remaining pool depending on the result of the first pull.

the total remaining is in both cases 239. but either the remaining people on holiday go down to 179 (and not in holiday stays 60), or the remaining people not on holiday go down to 59 (and on holiday stays 180).

so, the first one is on holiday, and the second one is not :

3/4 × 60/239 (remember : "and" relation)

= 3 × 15/239 = 45/239 = 0.188284519...

the first one is not on holiday, and the second one is :

60/240 × 180/239 = 1/4 × 180/239 = 45/239 =

= 0.188284519...

since there is no overlap of the potential events (there is no event that could be in both cases), this is an exclusive or relation, and we can add the probabilities.

so, the probability for exactly one of the picked passengers to be on holiday is

2×0.188284519... = 0.376569038... ≈ 0.3766

8 0
2 years ago
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