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tia_tia [17]
3 years ago
15

Find the value of a in the parallelogram.

Mathematics
1 answer:
S_A_V [24]3 years ago
3 0
6a-4 = 3a+54
3a = 58
a = 58/3
a= 19.333
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Mariana [72]

A . (x-2)(x-5)

B . (2x-9)(2x+9)

C . 3x(x-2)(x+2)

5 0
3 years ago
Ernesto jarred 12 liters of jam after 2 days. How much jam did Ernesto jar if he spent 3 days making jam? Solve using unit rates
Oduvanchick [21]

Answer:

18 liters

Step-by-step explanation:

12 liters/2 days = 6 liters/day

6 liters/day x 3 days = 18 liters

4 0
3 years ago
Read 2 more answers
The polygons are similar. Find the value of x and y.
harina [27]

Answer:

x = 9, y = 27

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\frac{x-1}{6} = \frac{16}{12} ( cross- multiply )

12(x - 1) = 96 ( divide both sides by 12 )

x - 1 = 8 ( add 1 to both sides )

x = 9

Also

\frac{y+1}{21} = \frac{16}{12} ( cross- multiply )

12(y + 1) = 336 ( divide both sides by 12 )

y + 1 = 28 ( subtract 1 from both sides )

y = 27

3 0
3 years ago
One of the events in the Winter Olympics is the Men's 500-meter Speed Skating.
poizon [28]

Answer:

Mean: \bar x = 40.61

Median =40.2

Mode = 43.4

Step-by-step explanation:

Given

See attachment for data

Solving (a): The mean

Mean is calculated as:

\bar x = \frac{\sum x}{n}

From the attached:

n = 14

So, the mean is:

\bar x = \frac{43.4+43.4+43.4+43.1+43.2+40.2+40.2+40.1+40.3+39.44+39.17+38.03+38.19+36.45}{14}

\bar x = \frac{568.58}{14}

\bar x = 40.61

Solving (b): The median

n = 14; this is an even number. So, the median is:

Median = \frac{1}{2}(n+1)

Median = \frac{1}{2}(14+1)

Median = \frac{1}{2}(15)

Median = 7.5th

This implies that the median is the average of the 7th and 8th item.

Next, is to order the data (in ascending order): <em>36.45, 38.03, 38.19, 39.17, 39.44, 40.1, 40.2, 40.2, 40.3, 43.1, 43.2, 43.4, 43.4, 43.4.</em>

The 7th and 8th items are: 40.2 and 40.2

The median is:

Median = \frac{1}{2}(40.2 + 40.2)

Median = \frac{1}{2}*80.4

Median =40.2

Solving (c): The mode

43.4 has the highest number of occurrence.

So:

Mode = 43.4

8 0
4 years ago
In a triangle, one side length is 4 feet and another side length is 7 feet. Which answers are possible lengths for the third sid
Nuetrik [128]

Answer:

3

Step-by-step explanation:

You might just think that I subtracted but on the triangle the last side is the base which is always smaller.

7 0
3 years ago
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