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barxatty [35]
3 years ago
11

The corresponding sides of `DeltaABC` and `DeltaDEF` have equal lengths. The area of `DeltaABC` is 4 square units, and the longe

st side of `DeltaDEF` is 5 units long. What is the area of `DeltaDEF`?
Mathematics
1 answer:
MArishka [77]3 years ago
3 0

Since for the two triangles, the three pairs of corresponding sides are congruent, then the triangles are congruent and their areas are equal.

area = 4 square units

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50 POINT!!!!!!!! Math question.
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Answer:


Step-by-step explanation:

C(0,0)

the length of AC is equal to BD

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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
3 years ago
What is the solution to |x – 5| + 2 &lt; 20?
stepladder [879]

Answer:

Step-by-step explanation:

hello :

|x – 5| + 2 < 20  means :  |x – 5| + 2-2 < 20-2

|x – 5|  < 18

-18< x - 5 < 18

-18+5< x - 5+5 < 18+5

-13< x< 23   ( solutions)

3 0
2 years ago
What is the answer for this problem?
Y_Kistochka [10]
This is a problem involving the subtraction of two functions f(x) and g(x):

<span>if f(x)=3x-1 and g(x)=x+2, find (f-g)(x).  In other words, find:

</span><span>  f(x)  = 3x-1 
-{g(x) -(x+2)
-----------------
f(x) - g(x) = 3x - 1 - x - 2 = 2x - 3  (answer)</span>
4 0
3 years ago
-3(-4n + 30) = -30 need help​
DIA [1.3K]

First we will do -3 times everything in the parenthesis.

-3 times -4n = 12n

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SO,

12n - 90 = -30

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12n = 60

divide 12 on both sides;

n = 5

This is your answer,

IF THIS HELPED, PLS GIVE ME BRAINLIEST!

6 0
3 years ago
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