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2 years ago

9x+12x-21=27 How do I solve ?

Mathematics

1 answer:

alexandr402 [8]2 years ago

6 0

You gotta combine like terms which would be 9x and 12x which gives you 21x .

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How does one go about completing this?

natali 33 [55]

Answer:

100°

Step-by-step explanation:

∠AEC ≅ ∠BED as vertically opposite angles

m∠AEC = m∠BED = 1/2(mAC + mBD), angles between intersecting chords

Substitute values and solve for x:

4x = 1/2(120 + 2x)
4x = 60 + x
3x = 60
x = 20

Find the measure of AEC:

m∠AEC = 4*20 = 80°

AED and AEC form a linear pair hence supplementary:

m∠AED = 180° - m∠AEC

Find the measure of ∠AED:

m∠AED = 180° - 80° = 100°

4 0

1 year ago

Sydney placed 10 guppies in a fish tank she recorded the number of guppies in the tank

pav-90 [236]

Answer:

$g(n) = 10 * 3^{n}$

Step-by-step explanation:

Given

See attachment for table

Required

Determine the explicit formula for the table

First, we need to check if the guppies increases at arithmetic progression or geometry progression.

For arithmetic progression:

We calculate the common difference (d)

$d = g(n) - g(n-1)$

Take n as 1

$d = g(1) - g(1-1)$

$d = g(1) - g(0)$

From the table:

$g(1) = 30\ \&\ g(0) = 10$

$d = 30 - 10$

$d = 20$

Take n as 2

$d = g(2) - g(1)$

From the table:

$g(1) = 30\ \&\ g(2) = 90$

$d = 90 - 30$

$d = 60$

The two differences are not equal. So, this

For geometry progression:

We calculate the common ratio (r)

$r = \frac{g(n)}{g(n-1)}$

Take n as 1

$r = \frac{g(1)}{g(1-1)}$

$r = \frac{g(1)}{g(0)}$

From the table:

$g(1) = 30\ \&\ g(0) = 10$

$r = \frac{30}{10}$

$r = 3$

Take n as 2

$r = \frac{g(2)}{g(1)}$

From the table:

$g(1) = 30\ \&\ g(2) = 90$

$r = \frac{90}{30}$

$r = 3$

The two ratios are equal.

So, the next step is to calculate the explicit formula using n term of a geometric progression.

Because the progression starts from 0, we make use of the following formula

$g(n) = g(0) * r^{n}$

Substitute values for g(0) and r

$g(n) = 10 * 3^{n}$

Hence:

The explicit formula is: $g(n) = 10 * 3^{n}$

7 0

2 years ago

Please help!! I'll make you Brainlest!! Thanks!!

nirvana33 [79]

16. The open circle is excluded and closed is included.
x≤-6
x>2

17. The open circle is excluded so the inequality would be: -3<x<2

4 0

3 years ago

Quadrilateral MBPV is similar to quadrilateral GKDF. BP = 78 mm, KD = 30 mm , and FD = 45 mm. What is VP? Enter your answer in t

vlada-n [284]

Answer:

VP = 117 mm

Step-by-step explanation:

Corresponding sides of similar quadrilaterals are proportional.

VP/FD = BP/KD

VP = FD·BP/KD = (45 mm)·(78/30) . . . . multiply by FD; fill in the givens

VP = 117 mm

4 0

3 years ago

Which expression is equivalent to 2(3g - 4) - (8g + 3)?

kolbaska11 [484]

Answer:

Step-by-step explanation:

6 0

2 years ago