A-alternate interior angles

Mathematics

2 answers:

QveST [7]2 years ago

8 0

Answer:

alternate interior angles

Step-by-step explanation:

They are on opposite sides of the line and they are equal to each other

mestny [16]2 years ago

8 0

The answer is the letter A

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B. The school prom committee sold presale tickets for

Ivan

Answer:

218 students purchased tickets at the dance.

Step-by-step explanation:

Let,

x be the number of presale tickets

y be the number of tickets sold at the dance

According to given statement;

x+y=334 Eqn 1

18x+24y=7320 Eqn 2

Multiplying Eqn 1 by 18

18(x+y=334)

18x+18y=6012 Eqn 3

Subtracting Eqn 3 from Eqn 2

(18x+24y)-(18x+18y)=7320-6012

18x+24y-18x-18y=1308

6y=1308

$\frac{6y}{6}=\frac{1308}{6}\\y=218$

Therefore,

218 students purchased tickets at the dance.

5 0

2 years ago

-3q + 12 greater than equal too 4q - 30 solve for q

valentina_108 [34]

Solving the inequality $-3q+12\geq 4q-30$ the value of q is $q\leq 6$

Step-by-step explanation:

We need to solve the inequality: $-3q+12\geq 4q-30$ and find value of q

Solving:

$-3q+12\geq 4q-30\\Adding\,\,-12\,\,on\,\,both\,\,sides:\\-3q+12-12\geq 4q-30-12\\-3q\geq 4q-42\\Adding\,\,-4q\,\,on\,\,both\,\,sides:\\-3q-4q\geq 4q-42-4q\\-7q\geq -42\\Divide\,\,both\,\,sides\,\,by\,\,7\\\frac{-7q}{7}\geq \frac{-42}{7}\\ -q\geq -6\\Multiply\,\,both\,\,sides\,\,by\,\,-1\,\,and\,\,reverse\,\,the\,\,inequality:\\q\leq 6$