2 years ago

Which satisfies the given inequality 6x < 24 a. 10 b. 8 c. 6 d. 2

Mathematics

1 answer:

BartSMP [9]2 years ago

5 0

Answer:

Step-by-step explanation:

just look at the image.

first in this you need to get rid of the 6 by the x, since its 6 times x you need to divide it by 6 to remain with x, you must do this on both sides to make it fair. you will remain with x < 4. 2 would then be the only answer to make it true.

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I will give brainliest

alex41 [277]

Answer:

x = 1.25

y = 1.75

Step-by-step explanation:

Since, the line that is 8 units long is parallel to the line that is ten units long.

Therefore, both the triangles are similar by AA postulate.

Corresponding sides of of the similar triangles are in proportion.

Therefore,

$\frac{5}{x + 5} = \frac{7}{y + 7} = \frac{8}{10} \\ \\ \implies \frac{5}{x + 5} = \frac{8}{10} \\ \\ 5 \times 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ \frac{10}{8} = x \\ \\ x = 1.25 \\ \\ \\ \frac{7}{y + 7} = \frac{8}{10} \\ \\ 7 \times 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ \frac{14}{8} = y \\ \\ y = 1.75$