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CaHeK987 [17]
3 years ago
15

Can somebody help me please

Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0

It's an isosceles triangle so angles A and BCA are congruent.  

Angle BCA is the supplement of BCD, so 180-109 = 71.

Angle A is congruent to that, so A=71 degrees.

Let's see if we can get that in the format they want, kind of as a proof.

1.  ∠BCD=109° Reason: Given

2. AB ≅ BC      Reason: Given

3. ∠BCA = 71°  Reason: Linear pairs are supplementary

4. ΔABC is isosceles.   Reason: Definition of isosceles

5. ∠A ≅ ∠BCA   Reason: Isoceles triangle theorem

6. ∠A = 71°         Reason: Def congruent

Answer: 71 degrees

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Two positive numbers x and y, with the maximum value 4, add up to 5. what is the difference between the maximum and minimum valu
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Answer:

1023

Step-by-step explanation:

Positive numbers are numbers that are greater than 0.

As maximum value of numbers x and y is 4,

x\leq 4,y\leq 4      ....(i)

So,

x^2y^3\leq 4^2 4^3=1024

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Also, its given that sum of numbers x and y is 5, so x+y=5   ...(ii)

On using equations (i) and (ii), we get

1\leq x,1\leq y

So,

1\leq x^2y^3

Therefore, minimum value of the product is 1.

Difference between the maximum and minimum value of the product =  maximum value of the product x^2y^3 - minimum value of the product

=1024 - 1 = 1023

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