Ask question

Ask question

All categories

3 years ago

11

ABCD is a parallelogram. If MZD= 72, then what is mZA? ASAP

1 answer:

Anni [7]3 years ago

3 0

Answer:

just sub and i think you get 108

Step-by-step explanation:

You might be interested in

1/3 ( x - 10) = -4 ???

Pepsi [2]

Answer:

$x = - 2$

Step-by-step explanation:

1) Simplify 1/3 ( x - 10) to x-10/3.

$\frac{x - 10}{3} = - 4$

2) Multiply both sides by 3.

$x - 10 = - 4 \times 3$

Simplify 4 × 3 to 12.

$x - 10 = - 12$

4) Add 10 to both sides.

$x = - 12 + 10$

5) Simplify -12 + 10 to -2.

$x = - 2$

So, therefor, the answer is, x = -2.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%24a%2Ba%20r%2Ba%20r%5E%7B2%7D%2B%5Cldots%20%5Cinfty%3D15%24%24a%5E%7B2%7D%2B%28a%20r%29%5E%7B

riadik2000 [5.3K]

Let

$S_n = \displaystyle \sum_{k=0}^n r^k = 1 + r + r^2 + \cdots + r^n$

where we assume |r| < 1. Multiplying on both sides by r gives

$r S_n = \displaystyle \sum_{k=0}^n r^{k+1} = r + r^2 + r^3 + \cdots + r^{n+1}$

and subtracting this from $S_n$ gives

$(1 - r) S_n = 1 - r^{n+1} \implies S_n = \dfrac{1 - r^{n+1}}{1 - r}$

As n → ∞, the exponential term will converge to 0, and the partial sums $S_n$ will converge to

$\displaystyle \lim_{n\to\infty} S_n = \dfrac1{1-r}$

Now, we're given

$a + ar + ar^2 + \cdots = 15 \implies 1 + r + r^2 + \cdots = \dfrac{15}a$

$a^2 + a^2r^2 + a^2r^4 + \cdots = 150 \implies 1 + r^2 + r^4 + \cdots = \dfrac{150}{a^2}$

We must have |r| < 1 since both sums converge, so

$\dfrac{15}a = \dfrac1{1-r}$

$\dfrac{150}{a^2} = \dfrac1{1-r^2}$

Solving for r by substitution, we have

$\dfrac{15}a = \dfrac1{1-r} \implies a = 15(1-r)$

$\dfrac{150}{225(1-r)^2} = \dfrac1{1-r^2}$

Recalling the difference of squares identity, we have

$\dfrac2{3(1-r)^2} = \dfrac1{(1-r)(1+r)}$

We've already confirmed r ≠ 1, so we can simplify this to

$\dfrac2{3(1-r)} = \dfrac1{1+r} \implies \dfrac{1-r}{1+r} = \dfrac23 \implies r = \dfrac15$

It follows that

$\dfrac a{1-r} = \dfrac a{1-\frac15} = 15 \implies a = 12$

and so the sum we want is

$ar^3 + ar^4 + ar^6 + \cdots = 15 - a - ar - ar^2 = \boxed{\dfrac3{25}}$

which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?

7 0

2 years ago

Dolly used 10 pints of ice cream at her birthday party. Each person was served 2/5 pint of ice cream. How many people were serve

KonstantinChe [14]

25 people were served

5 0

2 years ago

2 1/11 as a decimal is?

Mkey [24]

Answer:

2.090909...

Step-by-step explanation:

Write as improper fraction and then divide

23/11=2.090909...

5 0

2 years ago

Read 2 more answers

An online music club sells songs for $.95each plus a $1.95monthly fee for the service. If Maria’s total monthly bill was $14.30,

aksik [14]

First you would subtract the monthly fee from the total bill
$14.30 - 1.95 = 12.35$
Maria spend $12.35 on songs, to find out how many songs, you divide that by $.95
$12.35 \div .95 = 13$
Maria bought 13 songs this month.

5 0

3 years ago