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Cloud [144]
3 years ago
14

Help me work out 6=-4+z

Mathematics
2 answers:
vladimir2022 [97]3 years ago
5 0

Answer:

10=z or z=10

Step-by-step explanation:

1) Add four to both sides

2) You should get 10=z

juin [17]3 years ago
5 0
Z=10 because it’s the same as 10-4
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• ANGLE 2 AND ANGLE 6 ARE CONGRUENT BECAUSE THEY ARE CORRESPONDING ANGLES.

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The temperature at 2 a.m. was -10°C.
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Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
lorasvet [3.4K]

Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ

Likewise:

\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

m\angle PAC=m\angle PAB+m\angle BAC

Likewise:

m\angle QAB=m\angle QAC+m\angle BAC

Since ∠QAC ≅ ∠PAB:

m\angle PAC=m\angle QAC+m\angle BAC

And by substitution:

m\angle PAC=m\angle QAB

Thus:

\angle PAC\cong \angle QAB

Then by SAS Congruence:

\Delta PAC\cong \Delta BAQ

And by CPCTC:

PC\cong BQ

5 0
2 years ago
Read 2 more answers
A 5-digit combination lock with digits 0-9 can be opened only if a correct combination of digits is chosen. Find the probability
sammy [17]

The total number of combinations without restrictions is

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Problem A

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the number of ways the combination can be set up with no repetition.

The probability of such an event is P = 30240 / 100000 = 0.3024

Problem B

The number of ways that can be done with repetition and no zeros is

9 * 9 * 9 * 9 * 9 = 59049

The probability of such an event is

P = 59049 / 100000 = 0.59049

7 0
3 years ago
Read 2 more answers
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