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2 years ago

Decimals from 12.4 to 13.8 with an interval of 0.2 between each pair of decimals

1 answer:

7 0

To solve this question, we begin with 12.4. The only operation you need to use for this problem is addition. We will slowly add 0.2 to 12.4 until we reach 13.8. As you add, be sure to align the decimal points! Also, remember to keep track of your numbers, as you will need them to answer the question.
12.4+0.2=12.6. 12.6+0.2=12.8. 12.8+0.2=13.0. 13.0+0.2=13.2. 13.2+0.2=13.4. 13.4+0.2=13.6. 13.6+0.2=13.8.
So, the decimals are (including 12.4 and 13.8): 12.4, 12.6, 12.8, 13.0, 13.2, 13.4, 13.6, and 13.8.
Hope this answered your question!

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In ABC, if CB AC≅ , m∠A = 3x + 18, m∠B = 7x – 58, and m∠C = 2x – 8, find x and the measure of each angle.

lesya692 [45]

9514 1404 393

Answer:

x = 19

A = 30°

B = C = 75°

Step-by-step explanation:

In an isosceles triangle, the angles opposite the congruent sides have the same measures.

A = B

3x +18 = 7x -58

76 = 4x . . . . . . . . add 58-4x

19 = x . . . . . . . . . divide by 4

Then the equal angles measure ...

A = B = 3(19) +18 = 75

C = 2(19) -8 = 30

Angles A, B, C measure 75°, 75°, 30°, respectively.

_____

<em>Alternate solution</em>

The sum of angles in a triangle is 180°, so you could write ...

(3x +18) +(7x -58) +(2x -8) = 180

12x = 228 . . . . . add 48

x = 19 . . . . . divide by 12

6 0

2 years ago

Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.

Anna [14]

Answer:

$a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

(2, 1) and (4, 5)

$m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}$

(-1, 0) and (3, -5)

$m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}$

(2, 1) and (-3, 1)

$m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}$

(-1, 2) and (-1, -5)

$m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}$

7 0

2 years ago

Without multiplying, determine the sign of the product (356,864)(−194,758).

STatiana [176]

I think it would be A.) but at the same time i think it's wrong

8 0

2 years ago

Read 2 more answers

810 songs; 130% increase

erma4kov [3.2K]

The answer would be 1,053

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3 years ago

Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Then she donates $2 to clean wate

borishaifa [10]

We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.

Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.

Let x be the number of free income tax returns and y be the number of $35 income tax returns.

Therefore, we can set up:

$0\times x+35\times y=7245\Rightarrow 35y=7245\Rightarrow y=\frac{7245}{35}=207$

Since she donates $2 for each return that she files, therefore, we can set up:

$2(x+y)=1242\Rightarrow x+y=621\Rightarrow x+207=621\Rightarrow x=414$

Therefore,

Sterre filed 414 tax returns for free and filed 207 tax returns for $35.

7 0

2 years ago