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3 years ago

1. If AD = 25, then BC = 2. If AB = 30, then DC =

Mathematics

2 answers:

Serjik [45]3 years ago

7 0

Answer:

BC = 25

DC = 30

Step-by-step explanation:

Blababa [14]3 years ago

7 0

BC=25 because it is congruent(the same) as AD

DC=30 because it is congruent(the same) as AB

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Does anyone know the answer to this?

Alex

Answer:

10.5.

Step-by-step explanation:

By similar triangles:

IJ / 21 = 8 /(8+8) = 1/2

IJ / 21 = 1/2

IJ = 1/2 * 21

= 10.5.

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2 years ago

24 is 40%of what number

sladkih [1.3K]

60.

Because 60x0.40 is 24

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2 years ago

Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract

anyanavicka [17]

Answer:

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8$

Step-by-step explanation:

The sum you are trying to understand is this.

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}$

Remember that in general when you have a geometric series

$\sum\limits_{n = 0}^{\infty} a*r^n$ you have that

$\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}$ and that equality is true as long as $|r| < 1$ .

Therefore here we have

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n$ and $\big|\frac{-1}{15} \big| = \frac{1}{15} < 1$

Therefore we can use the formula and

$\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n = \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16 = 15/8$

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3 years ago

Express sin UU as a fraction in simplest terms.

alukav5142 [94]

The expression of sinU as a fraction is 12/13

Find the diagram attached.

To get the fraction represented by sinU, we will use the SOH CA TOA identity.

From the diagram;

Hypotenuse = SU = 13

Opposite = ST = 12 (angle opposite to m<U)

Since sin theta = opp/hyp

SinU = ST/SU

SinU = 12/13

Hence the expression of sinU as a fraction is 12/13

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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2 years ago

What is the slope of the line through ( 1 , − 1 ) and( 5 , − 7 )

Semenov [28]

M= y2-y1 -7- -1
------- = _-6_ = -3/2
x2-x1 5 -1 4

3 0

3 years ago

Read 2 more answers