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3 years ago

Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition?

Mathematics

2 answers:

Eduardwww [97]3 years ago

8 0

The answer is B. (2 + x) + 3y.

The associative change happened when they just moved the parenthesis.

Hope this helps!

bagirrra123 [75]3 years ago

5 0

The answer is B. (2 + x) + 3y.

The associative change happened when they just moved the parenthesis.

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Please Help Me!

alex41 [277]

Answer:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

DR and SL

RM and LT

Step-by-step explanation:

When two polygons are congruent, it implies that they have the same shape and size. Therefore, their corresponding angles and sides are congruent to each other.

When naming congruent polygons, the arrangement of the vertices are kept in a definite order of arrangement.

Therefore, Given that polygon DRMF is congruent to SLTO, the following angles and sides correspond to each other:

<D corresponds to <S

<R corresponds to <L

<M corresponds to <T

<F corresponds to <O

For the sides, we have:

DR corresponds to SL

RM corresponds to LT

MF corresponds to TO

FD corresponds to OS.

We can select any two out of these sets of corresponding angles and sides as our answer. Thus:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

DR and SL

RM and LT

4 0

3 years ago

A map has a scale of 1.5 in : 26 mi. If the distance between city A and City

alekssr [168]

Answer:

The real distance is 260 miles

Step-by-step explanation:

From the question;

1.5 inches in map is 26 miles

Thus;

15 inches will be x miles

To get the value of x, we do a cross-multiplication

we have this as:

15 * 26 = 1.5 * x

x = (15 * 26)/1.5

x = 10 * 26 = 260 miles

6 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

How are the awnsers to the odd problems

lapo4ka [179]

I can't get to the attachment attached to the question. So I don't know the answers to the Odd Question #'s!
Or in tern I can't see the Questions so that I could answer them!

3 0

3 years ago

A boat travels 345km in 4 hours (with a constant speed). How far can it travel in three hours (with the same speed)?

Colt1911 [192]

Answer:

258.75km

Step-by-step explanation:

345/4=86.25

Can travel 86.25km an hour

86.25*3=258.75

Therefore it can travel 258.75 in 3 hours

7 0

4 years ago

Read 2 more answers