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astraxan [27]
3 years ago
13

Miss Hernandez is taking her children and their friends to the movies she will pay $10 for her adult ticket and $7 for each chil

d ticket Miss Hernandez does not want to spend more than $40 which inequality can be used to find see the number of child tickets Miss Hernandez can purchase​
Mathematics
1 answer:
prohojiy [21]3 years ago
6 0

Answer:

The inequality is

10+7x\leq 40

Step-by-step explanation:

Let

x-----> the number of child tickets

we know that

10+7x\leq 40 -----> inequality that represent the situation

Solve for x

7x\leq 40-10

7x\leq 30

x\leq 4.3

The maximum number of child tickets is 4

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Answer:

This is proved by ASA congruent rule.

 Step-by-step explanation:

Given KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. we have to prove that A is equidistant from LM and KN i.e we have to prove that AP=AQ

we know that the diagonals of parallelogram bisect each other therefore the the bisectors of ∠K and ∠L must be the diagonals.

In ΔAPN and ΔAQL

∠PNA=∠ALQ    (∵alternate angles)  

AN=AL   (∵diagonals of parallelogram bisect each other)

∠PAN=∠LAQ      (∵vertically opposite angles)

∴ By ASA rule ΔAPN ≅ ΔAQL

Hence, by CPCT  i.e Corresponding parts of congruent triangles PA=AQ

Hence, A is equidistant from LM and KN.

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