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lidiya [134]
3 years ago
6

30 points and Brainliest!

Mathematics
1 answer:
yuradex [85]3 years ago
5 0

Answer:

LF = PF                   given

ΔLFP is isosceles   definition of isosceles triangle

∠FLP = ∠FPL          isosceles triangle theorem: if two sides of a triangle are

                               congruent, then angles opposite those sides are

                               congruent.

LP = PL                    reflexive property

∠PDL = ∠LKP          Perpendicular lines postulate (perpendicular lines form 90

                                degree angles)

ΔPDL ≅ ΔLKP         AAS

LK = PD                    corresponding parts of congruent triangles are congruent  

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Ulleksa [173]

Answer:

8x+6y=48

x+y=7

multiply bottom equation by 6:

8x+6y=48

6x+6y=42

subtract equations:

2x=6

divide 6 by 2:

x=3

therefore:

y=4

6 0
4 years ago
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Solve the following equation: 2x – 26 = x + 5
alina1380 [7]

Answer:

x=31

Step-by-step explanation:

5 0
3 years ago
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What is the completely factored form of p4 – 16? (p – 2)(p – 2)(p 2)(p 2) (p – 2)(p – 2)(p – 2)(p – 2) (p minus 2) (p 2) (p squa
n200080 [17]

The completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

<h3>What is polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).

The polynomial equation given in the problem is,

p^4 - 16

Let the factor form of the polynomial is f(p). Thus,

f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2

Using the formula of difference of squares, we get,

f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)

Thus, the completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

Learn more about polynomial here;

brainly.com/question/24380382

3 0
2 years ago
Sharif's portfolio generated returns of 12 percent, 15 percent, −15 percent, 19 percent, and −12 percent over five years. What w
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Answer:

3.8 percent

Step-by-step explanation:

To find his average return over n years, we sum all of his returns, and divide by n.

In this problem:

5 years.

The sum is (12 + 15 - 15 + 19 - 12) = 19

19/5 = 3.8

So the correct answer is:

3.8 percent

8 0
4 years ago
Evaluate the expression for x = 3 and y = 5. 12x−3y
Advocard [28]
12x-3y=21
4x-y=7
I hope this helps

6 0
3 years ago
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