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MA_775_DIABLO [31]
3 years ago
8

Lines DE and AB intersect at point C.

Mathematics
1 answer:
Mariana [72]3 years ago
3 0

Answer:

(B)25

Step-by-step explanation:

If Lines DE and AB intersect at point C; and

\angle ACE =(2x+2)^\circ\\\angle ECB=(5x+3)^\circ

From the attached diagram, we can see that Angles ACE and ECB are supplementary angles by the linear postulate.

Therefore:

\angle ACE +\angle ECB=180^\circ\\(2x+2)^\circ+(5x+3)^\circ=180^\circ\\2x+5x+2+3=180\\7x+5=180\\7x=175\\$Divide both sides by 7\\x=25

The correct answer is B.

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I cant solve this help –8x + 15 < 71
Ratling [72]

Answer:

x > -7

Step-by-step explanation:

Isolate the variable, x. Treat the < sign like an equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

First, subtract 15 from both sides:

-8x + 15 (-15) < 71 (-15)

-8x < 71 - 15

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Next, divide -8 from both sides of the equation. Note that when you divide by a negative number, you must flip the sign:

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x > -7

x > -7 is your answer.

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6 0
3 years ago
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Myles has a room that is 300 m². If he wants to tile the room using 5 cm x 5 cm tiles, how many whole tiles will he have to use?
amid [387]

Answer:

Number of whole tiles need = 120,000 tiles

Step-by-step explanation:

Given:

Area of room = 300 m²

Dimension of each tile = 5cm x 5cm

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Number of whole tiles need

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Dimension of tile in meter = 5 /100 = 0.05 m

Area of each tile = 0.05 x 0.05

Area of each tile = 0.0025 m²

Number of whole tiles need = Area of room / Area of each tile

Number of whole tiles need = 300 / 0.0025

Number of whole tiles need = 120,000 tiles

Total 120,000 tiles need to cover 300 m² room.

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