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34kurt
3 years ago
5

Whats the answer? help pls!!

Mathematics
2 answers:
dedylja [7]3 years ago
7 0

Answer:

24

Step-by-step explanation:

1. Cross multiply:

32 * 9 = 12 * C

2. Divide each side by 12:

C = (9 * 32) /12

3. Reduce:

C = 24

Final proportion:

9 24

--- = ---

12 32

Mumz [18]3 years ago
6 0

Answer:

27

Step-by-step explanation:

since 32 is 3 times the size of 12 multiply 9 by 3

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Please help with this
Maksim231197 [3]

Answer:

Choice A

Step-by-step explanation:

  • SSS is not applicable as only 2 sides are congruent
  • HL is lot applicable as triangles are not right angled (∠A and ∠E >90)
  • ASA also not applicable as the angle should be included but is not
5 0
3 years ago
Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?
NikAS [45]

Answer:

C

Step-by-step explanation:

Step 1: find BC

Given Triangles ABC and ADE are similar,

\frac{AB}{AD} = \frac{BC}{DE}

BC = \frac{AB}{AD} x DE

= \frac{8}{8 + 4} x 9

= 6 cm

Step 2: use Pythagorean theorem to find AC and / or AE

Consider triangle ABC,

by Pythagorean theorem,

AB² + BC² = AC²

AC² = 6² + 8² = 100

AC = √100 = 10 (answer... we can see that C is the only one with AC=10.

Step 3: Verify.. even though we know that it is C because AC  = 10,  you can verify that the ansewer is correct by finding CE and confirming that CE=5

By using similar triangles ABC and ADE,

AC/AE = AB / AD

AE = AD/AB x AC = 12/8 x 10 = 15

CE = AE - AC = 15 - 10 = 5 (answer confirmed)

5 0
3 years ago
What is 23 fl oz = ______ c
astraxan [27]

Answer:

2.875c

Step-by-step explanation:

3 0
3 years ago
The data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. the standard deviation of this dat
jenyasd209 [6]

Answer:

i)

the standard deviation of this data is 2.2

ii) 84%

Step-by-step explanation:

We have been informed that the data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. This implies that we shall be dealing with the applications of the empirical rule.

In a normal distribution, the mean is also the mode as well as the median of the distribution. This implies that the mean is at the center of the distribution. In our case, the mean is 4.8. The vertical lines represents data points that lie 1, 2 and 3 standard deviations away from the mean.

From the graph, both 11.4 and -1.8 lie 3 standard deviations away from the mean on either side. We can thus use the following equation to solve for the unknown standard deviation;

mean + 3(sigma) = 11.4

where sigma is the standard deviation.

our mean is 4.8, therefore;

4.8 + 3(sigma) = 11.4

3(sigma) = 6.6

sigma = 2.2

ii)

In order to determine the percentage of the population that will fall below the mark of 7, we shall first determine how many standard deviations away from the mean the value 7 lies.

To do this, we can use the following equation;

4.8 + n(2.2) = 7

2.2n = 2.2

n = 1

Therefore, the data point 7 lies one standard deviation away from the mean to the right.

The percentage of the population that will fall below one standard deviation away from the mean is;

68 + 13.5 + 2.35 = 83.85%

Using the empirical rule

8 0
3 years ago
LINEAR ALGEBRA<br><br> List four variables and link them using one equation
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A+b+c+d=18 is an example
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