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e-lub [12.9K]
4 years ago
15

Look at the figure how can you prove ABD and ACD are congruent?

Mathematics
2 answers:
Drupady [299]4 years ago
8 0

Answer: By using SAS postulate of congruence , we can prove  \triangle{ABD} and  \triangle{ACD} are congruent.

Step-by-step explanation:

In the given figure we have two triangles \triangle{ABD} and  \triangle{ACD} having one common side AD.

Also,  \angle{BAD}\cong\angle{CAD}   [given]

\overline{AB}\cong\overline{AC}     [given]

\overline{AD}\cong\overline{AD}   [common]

Hence, by SAS postulate of congruence , we have

\triangle{ABD}\cong\triangle{ACD}

  • SAS postulate of congruence says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of other triangle then the two triangles are said to be congruent.
mojhsa [17]4 years ago
3 0
Check the picture below

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Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid
tigry1 [53]

Answer:

F(x) = 45*x - (5/2)*x^2 + C

Step-by-step explanation:

Here we want to find the antiderivative of the function:

f(x) = 45 - 5*x

Remember the general rule that, for a given function:

g(x) = a*x^n

the antiderivative is:

G(x) = (a/(n + 1))*a*x^(n + 1) + C

where C is a constant.

Then for the case of f(x) we have:

F(x) = (45/1)*x^1 - (5/2)*x^2 + C

F(x) = 45*x - (5/2)*x^2 + C

Now if we derivate this, we get:

dF(x)/dx = 1*45*x^0 - 2*(5/2)*x

dF(x)/dx = 45 - 5*x

6 0
3 years ago
What is the value of x?<br><br> Enter your answer in the box.<br> units
snow_tiger [21]

9514 1404 393

Answer:

  x = 25

Step-by-step explanation:

The parallel lines divide the triangle sides proportionally.

  x/40 = 15/24

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5 0
3 years ago
Factor 144x^4-291x^2y+81y^2
nignag [31]

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Step-by-step explanation:

I used a website to get the answer.

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Ron Haslam gets a Social Security benefit of $1,200 per month. His wife receives a benefit equal to 40 percent of Ron's benefit.
il63 [147K]
If you divide 1,200 and 40 it equals 30 then you take 250 subtract 30 the answer is 220
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3 years ago
I could probably figure this out, but it lists A, B, and C as points and I don't see them. I assume I'd have to place them somew
Akimi4 [234]

Answer: Choice D) Opposite sides of a parallelogram are congruent

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5 0
3 years ago
Read 2 more answers
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