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Harman [31]
3 years ago
13

In the diagram AB=AD and

Mathematics
1 answer:
hammer [34]3 years ago
6 0

Answer:

AC ≅ AE

Step-by-step explanation:

According to the SAS congruence theorem, if two triangles have 2 corresponding sides that are equal, and also have one included corresponding angle that are equal to each other in both triangles, both triangles are regarded as congruent.

Given ∆ABC and ∆ADC in the question above, we are told that segment AB ≅ AD, and also <BAC ≅ <DAC, the additional information that is necessary to prove that ∆ABC and ∆ADC are congruent, according to the SAS theorem, is segment AC ≅ segment AE.

This will satisfy the requirements of the SAS theorem for considering 2 triangles to be equal or congruent.

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Graph ​ y+6=45(x+3) ​ using the point and slope given in the equation
il63 [147K]

Step-by-step explanation:

We have been given an equation y+6=45(x+3) in point slope form.

It says to use the point and slope from given equation to create the graph.

So compare equation y+6=45(x+3) with point slope formula

y-y1=m(x-x1)

we see that m=45, x1=-3 and y1=-6

Hence first point is at (-3,-6)

slope m=45 is positive so to find another point, previous point will move 45 units up then 1 unit right and reach at the location (-2,39).

Now we just graph both points (-3,-6) and  (-2,39) and join them by a straight line. Final graph will look like the attached graph.

7 0
3 years ago
Number 8<br> (X)+(X+30)=510
Liula [17]
X + x + 30 = 510
2x = 480

x = 240  

there were 240 women and 270 men.
8 0
3 years ago
The average of four different positive integers is 9. What is the greatest value for one of the integers?
saul85 [17]

From the given information; Let the unknown different positive integers be (a, b, c and d).

An integer is a set of element that are infinite and numeric in nature, these numbers do not contain fractions.

Suppose we make an assumption that (a) should be the greatest value of this integer.

Then, the other three positive integers (b, c and d) can be 1, 2 and 3 respectively in order to make (a) the greatest value of the integer.

Therefore, the average of this integers = 9

Mathematically;

\mathbf{\dfrac{(a+b+c+d)}{4} =9}

\mathbf{\dfrac{(a+1+2+3)}{4} =9}

\mathbf{\dfrac{(6+a)}{4} =9}

By cross multiplying;

6+a = 9 × 4

6+a = 36

a = 36 - 6

a = 30

Therefore, we can conclude that from the average of four positive integers which is equal to 9, the greatest value for one of the selected integers is equal to 30.

Learn more about integers here:

brainly.com/question/15276410?referrer=searchResults

8 0
2 years ago
Read 2 more answers
What is the surface area of the right cone below?
labwork [276]
The answer for this is 224
4 0
3 years ago
Read 2 more answers
in a class of 28 sixth graders all but one of the students are 12 years old. witch two data measurements are the same for the st
Doss [256]
Out of 28 kids there is one that isnt 12
so 27 kids are 12 years old
1 isnt
concluding that, that 6th grade might be 11
so 1 out of 28
1:28


5 0
3 years ago
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