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3 years ago

In quadrilateral ABCD: AD=BC, ∠DAC=50°, ∠DCA=65°, ∠ACB=70°. Find the measure of ∠ABC, in degrees.

Mathematics

1 answer:

kiruha [24]3 years ago

7 0

Answer:

M < abc = 55 Degrees

Step-by-step explanation:

Since you can use the substitute angle of the triangle, this enables you to simplify the equation, knowing that all triangles angles add up to 180 degrees.

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Which expression is 7 times as large as 596 + 88?

Tasya [4]

The answer is choice c

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2 years ago

Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,

grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

$a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60$

Common ratio is:

$r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02$

So r = 1.02

The general form for geometric sequence is:

$a_n = a_1r^{n-1}$

Putting the first term and r

$a_n = 1500 . (1.02)^{n-1}$

To find the 9th month's balance

Putting n=9

$a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890$

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

#LearnwithBrainly

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2 years ago

Choose the graph below that represents the following system of inequalities:

castortr0y [4]

Yshejrhhe is they easiest of them all and as you can see I just can’t fail it bro ik too smart yk it’s y>-3x +1-5

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1 year ago

If anyone needs help I Can help you

Nadya [2.5K]

I'll help. I love helping people

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3 years ago

The first quartile in a box-and-whisker plot would be located on what number?

astraxan [27]

Answer:

24.5

Step-by-step explanation:

When you round it you get 25. (sorry if im wrong) :(

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2 years ago