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3 years ago

9 divided by blank equals 5/9 what is the blank?

Mathematics

1 answer:

My name is Ann [436]3 years ago

5 0

Answer:

16.2

Step-by-step explanation:

Let x be the blank.

Therefore, $\frac{9}{x}$ = $\frac{5}{9}$

By cross-multiplying 9 by 9 and x by 5, we get

5x = 81

Therefore,

x = $\frac{81}{5}$ = 16.2

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Krutika, David and Mark share some sweets in the ratio

Aneli [31]

Answer:

120

Step-by-step explanation:

Krutika:48

David: 48

Mark: 48÷2= 24

Because 2 : 2 : 1

48+48+24=120

3 0

3 years ago

Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.

Sonja [21]

<h3>Answer: Rhombus</h3>

======================================================

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\$

Segment AB is exactly $\sqrt{17}$ units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

-------------------------

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2) = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\$

Segment AB has a slope of 1/4.

Do the same for BC

$B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2) = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\$

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0

2 years ago

Read 2 more answers

On a pleasant Monday, the Dow-Jones Industrial average closed at 11,315. On Wednesday, it closed down twice as many points as it

kirza4 [7]

I think it lose 1533 points

6 0

3 years ago

Lines AB and CD and are parallel. Find the measures of the three angles in triangle ABF.

Airida [17]

Answer: ∠B = 42° ∠A = 23° ∠F = 115°

Step-by-step explanation:

∠B≅∠C alternate interior angles 42°

∠CDF is supplementary to ∠CDE,

so m∠CDF = 23° and ∠FAB≅∠CDF so m∠FAB= 23°

<em>also ∠A ≅ CDE corresponding angles 157° ∠FAB is suplementary to ∠A </em>

<em>so 180 - 157 = 23 gives the m∠FAB</em>

The sum of the angles of a triangle is 180°, so m∠AFB = 180 -(23 +42)

180- 65 = 115 = m∠F

3 0

3 years ago

Jerry starts a new career making $32,000 annually. Each year for a total of 30 years

LUCKY_DIMON [66]

Step-by-step explanation:

if your asking how much money will he make for 30 years it will be 960,000. if your asking how much money will he make for 1 year it will be 8,000 I think I'm not sure

6 0

3 years ago