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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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8 0
3 years ago
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Nuance said she drew a square pyramid and that all of the faces are triangles.Is this possible?
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3 years ago
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A container contains 10 diesel engines. the company chooses 8 engines at​ random, and will not ship the container if any of the
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Answer:

16/25

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We just have to find the probability that the 8 non-defects are chosen.

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7 0
3 years ago
You and your friend are selling tickets to a charity event. You sell 11 adult tickets and 8 student tickets for $158. Your frien
svetlana [45]
So what we have to do to solve this problem is to write down those values in 2 equations (one that represents what you sold and the other what your friend sold) compare them and find how much each ticket is worth.
First equation : 11x + 8y = 158
Where x = how much each adult ticket is
and y = how much each student ticket is

The second equation is : 5x + 17y = 152

Using the method of substitution , we can compare each equation side by side:
11x + 8y = 158
5x + 17y = 152
Now we need to set one of the variables of both equations so they are equal:
11(5)x + 8(5) = 158(5)
5(11)x + 17(11)x = 152(11)

55x + 40y = 790
55x + 187y = 1672

Then we subtract the second equation by the first one

55x-55x + 187y - 40y = 1672 - 790
147y = 882
y = 6
The we apply y to one of the equations to discover x :
11x + 8y = 158
11x + 8(6) = 158
11x + 48 = 158
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So the awnser is :
Each adult ticket (x) is $10
And each student ticket (y) is $8
I hope you understood my explanation,
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Answer:

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