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2 years ago

Insert one term between -13 and -119 to create an arithmetic sequence of three terms.

Mathematics

2 answers:

daser333 [38]2 years ago

5 0

Answer:

-66

Step-by-step explanation:

- 13, ____, -119

first, find the common difference:

-13 - (-119) = 106

next, divide 106 by 2: $\frac{106}{2}$ = 53

so, the common difference is 53.

now, subtract 53 from -13:

-13 - 53 = -66

kaheart [24]2 years ago

5 0

Answer:

-66

Step-by-step explanation:

the sequence goes -13,-66,-119

just subtract with 53

(decreasing arithmetic sequence)

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3 years ago

Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes.

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3 years ago

An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 we

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2 years ago

Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

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4 0

3 years ago

Which point-slope equation represents a line that passes through (3,-2) with a slope of -4/5?

Viefleur [7K]

Answer:

y + 2 = -4/5 (x - 3)

Step-by-step explanation:

y - y1 = m (x - x1). Put in your points for y1 and x1, and always remember to flip your signs.

unfortunately, I don't know why that isn't one of your answers, so sticking with the positive 2 I would choose y+2=- (- 3) if I were you. Looks like the -4/5 disappeared somehow?

Hope this helps

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3 years ago