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2 years ago

Please explain how to solve for x in the attached photo.

Mathematics

1 answer:

natulia [17]2 years ago

5 0

Answer:

x = 24°

Step-by-step explanation:

the sum of the interior angles in a triangle = 180°

so:

(2x + 5°) + 64° + 3x - 9° = 180°

combine like terms:

5x + 60° = 180°

subtract 60° from each side of the equation:

5x = 120°

x = 24°

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Find the 5th (not fourth) of given geometric sequence. 2000, 1000, 500,...

Greeley [361]

Answer:

125

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

1000/2000 = 1/2

We multiply each term by 1/2

2000, 1000, 500

To find the next term 500*1/2 = 500/2 = 250

To find the 5th term

250*1/2 = 125

8 0

3 years ago

1. Eight people work in an office. They are paid hourly rates of 12£,15£,15£,14£,14£,13£,14£,13£

bearhunter [10]

Answer:

mean=110/8 =13.75 pounds; median=14 pounds; mode=14 pounds; average=13.75 pounds

Step-by-step explanation:

mean=add all the numbers together to get total then divide that total by the number of amounts present 12, 15, 15, 14, 14, 13, 14, 13 =110, then 110/8=13.75 pounds

mode=arrange amounts in order (smallest to largest), then determine which amount appears more than the other amounts 12, 13, 13, 14, 14, 14, 15, 15 =14 appears the most

median=organize numbers from smallest to greatest, count how many there are, then determine which number appears in the middle of all of them 12, 13, 13, 14, 14, 14, 15, 15 = there are 8 numbers present but 14 is in the middle; answer =14

average= take total of mean, then divide it by the number of amounts that appear 110/8 =13.75

8 0

2 years ago

What is 1/7 divided by 252 ?

miskamm [114]

Answer:

In decimal form: $0.00056689342$ (If wanted to round to nearest thousandth, $0.001$ )

In fraction form: $\frac{1}{1764}$ or $\frac{28344671}{50000000000}$

Step-by-step explanation:

$\frac{1}{7}\div \:252=\frac{1}{1764}$

$\mathrm{Convert\:element\:to\:fraction}:\quad \:252=\frac{252}{1}\\=\frac{1}{7}\div \frac{252}{1}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{1}{7}\times \frac{1}{252}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\=\frac{1\times \:1}{7\times \:252}$

$\mathrm{Multiply\:the\:numbers:}\:1\times \:1=1\\=\frac{1}{7\times \:252}$

$\mathrm{Multiply\:the\:numbers:}\:7\times \:252=1764\\=\frac{1}{1764}$

Hopes this helps you!

Have a wonderful night!

Happy Monday!

5 0

2 years ago

The ratio of the side lengths triangle is 7:24:29 and it’s perimeter is 180 m. What are the side lengths of the triangle? Select

kakasveta [241]

Answer: Only 21:72:87

Explanation: We know that the side lengths are not simply 7, 24, and 29, as the sum of these is only 60.

Therefore, we need to find the scale factor they were multiplied by to have side lengths with a sum of 180.

We can use 7x+24x+29x=180.

This becomes 60x=180 and the scale factor is x=3.

7*3=21, 24*3=72, and 29*3=87.

6 0

2 years ago

A cooking pot used in the cafeteria weighs 64 pounds when it is filled with soup. How much would a similar pot with a

alexandr402 [8]

Answer:

If you are talking about 1/2 scale factor, it is D. 32.

Step-by-step explanation:

What you are saying does not make sense for a scale factor of 1. If it were a scale factor of one, it would still be 64 lbs. which is not a option.

Can I get brainliest please?

5 0

3 years ago

Read 2 more answers