Answer:
AB= AC times AE/AD
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
In this problem
AB/AC=AE/AD
solve for AB
AB=(AC)(AE)/AD
Answer:
AB= AC times AE/AD
Step-by-step explanation:
AB is on the segment AC, therefore it is proportional to AC.
In order to fulfill the requirement that triangle ABE is a smaller scaled replica of triangle ACD, a scale factor must be applied to the sides of the original figure; in this case, the factor is AE/AD.
The sum of the first 39 positive odd numbers is 1521.
To find the sum of the first 39 positive odd numbers, we can use the formula for the sum of an arithmetic series. The formula is: S = (n/2)(a + l), where S is the sum, n is the number of terms, a is the first term, and l is the last term. In this case, n = 39, a = 1, and l = 77. Plugging these values into the formula, we get:
Therefore, the sum of the first 39 positive odd numbers is 1521.
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Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
$26.25/3 scarves=$8.75/1 scarf
the cost of 1 scarf is $8.75
Answer: (1) The domain and range of figure is shown in option 3. (2) The domain and range of the coordinate pairs is shown in option 2.
Explanation:
(1)
The values of x for which the function is defined are the domain of that function and range is the resultant values of the function at different value of x.
From The given figure it is noticed that the coordinates of the points are,
A coordinate pair is defined as (x,y).The values of x are -3,-3,-1,1,4. All sets contains only distinct elements so repetition of elements is not allowed.
Domain = {-3,-1,1,4}
The values of y are 1,-4,1,-1,4.
Range = {-4,-1,1,4]
So the correct option is third.
(2)
The given coordinates are,
The values of x are -4,-4,-3,1.
Domain = {-4,-3,1}
The values of y are 3,4,1,1.
Range = {1,3,4}
Therefore the correct option is (2).
To find the coordinates of B, we use the formula for finding the midpoint of a line segment. By plugging in given values and arranging the equation, we get B(8, -3).
To find the coordinates of B, you'd use the formula for the midpoint of a line segment. The midpoint is calculated as follows - ((x1+x2)/2, (y1+y2)/2). Here, the coordinates of the midpoint M(7,-5) and A(6, -7) are given.
Plugging these in the formula:
7=(6 + x2)/2
-5=(-7+ y2)/2
By cross multiplying and arranging the equations, we can find the value of x2 and y2 - these will be the coordinates of point B.
Solving the equations gives B(8, -3) as a result.
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Answer:(8,-3)
Step-by-step explanation:
X2=8 Y2=-3