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KonstantinChe [14]
3 years ago
12

The first term of an arithmetic sequence is –12 and the ninth

Mathematics
1 answer:
shtirl [24]3 years ago
8 0

Answer:

d = \frac{7}{2}

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₉ = 16 , then

- 12 + 8d = 16 ( add 12 to both sides )

8d = 28 ( divide both sides by 8 )

d = \frac{28}{8} = \frac{7}{2}

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An angle measures 15 degrees more than its complement. Find the measures of the two angles
kap26 [50]

Answer:

The first angle is 37.5° and the second would be 52.5°

Step-by-step explanation:

Angles are complementary when their sums add up to 90°.

x+(x+15) = 90\\x+x+15=90\\x+x=75\\x=37.5

The first angle is 37.5° and the second would be 52.5°, after we plug in x.

<em>Have a nice day. Feel free to ask questions. Spread The Love.</em>

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3 years ago
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you are dealt one card from a standard 52 card deck. find the probability of being dealt a card greater than 2 and less than 8
Mnenie [13.5K]

The given range is comprised of cards with a value between 3 and 7, inclusive, and there are 4 of each from the available suits. So there are 20 cards that fit the bill.

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3 years ago
Milton purchases a 5 gallon aquarium for his bedroom. To fill the aquarium with water,he uses a container with a capacity of 1 q
leonid [27]
Milton will take 20 trips to fill the aquarium.
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3 years ago
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3 times a number x, subtracted from 18 is less than -90
Shalnov [3]

Answer:

x > -24

Step-by-step explanation:

18 - 3x < 90

Subtract 18 from both sides.

-3x < 72

Divide both sides by -3. (When diving by a negative, flip the sign.)

x > -24

5 0
4 years ago
-5/8-(-4/3) <br><br> plz help I'm bad at fractions
alexandr1967 [171]

Answer:

Step-by-step explanation:

-4/

3

) = -5/

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3

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6 0
3 years ago
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