3 years ago

How many 4-element subsets containing the letter a can be formed from the set {a,b,c,d,e,f,g}?

Mathematics

1 answer:

Anarel [89]3 years ago

6 0

You would be able to make 20 subsets.

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Find the 8th term of the geometric sequence 7, 28, 112, ...

iVinArrow [24]

Common ratio = 28/7 = 4
8th term = (first term)4^7 = 114688

3 0

3 years ago

Two angles are supplementary. One angle measures 2x, and the other angle measures 3x - 15. Which equation can you use to find th

Salsk061 [2.6K]

Statement:

Two angles are supplementary. One angle measures 2x, and the other angle measures 3x - 15.

To find out:

The equation to find the measure of each angle.

Solution:

Supplementary angles are angles which sum up to 180°.
While, complementary angles are angles which sum up to 90°.
Here, the sum of the two angles, i.e., 2x and 3x - 15, should be 180°.
So, the equation will be: 2x + 3x - 15 = 180°.

Answer:

2x + 3x - 15 = 180°

Hope you could understand.

If you have any query, feel free to ask.

6 0

3 years ago

Answer this please .

Monica [59]

Answer:

$\frac{3}{5}x+2=\frac{2}{3}x\\\\\frac{3}{5}x+2-2=\frac{2}{3}x-2\\\\\frac{3}{5}x=\frac{2}{3}x-2\\\\\frac{3}{5}x-\frac{2}{3}x=\frac{2}{3}x-2-\frac{2}{3}x\\\\-\frac{1}{15}x=-2\\\\\left(-\frac{1}{15}x\right)\left(-15\right)=\left(-2\right)\left(-15\right)\\\\x=30$