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4 years ago

Solve 2x - 9 - 7x = 11. A. -4 B. -1/4 C.2/5 D. 4

Mathematics

2 answers:

zalisa [80]4 years ago

7 0

2x-9-7x=11
(add common terms together)
-5x-9=11
(get x alone and positive on one side of the equation)
5x=-20
x=-4

HACTEHA [7]4 years ago

4 0

A. -4

-5x divided by 20 = -4

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To determine the number of trout in a lake, a conservationist catches 174 trout, tags them and throws them back into the lake.

Alja [10]

Answer:

348 trouts in the lake

Step-by-step explanation:

Since this is basically a ratio problem and we are given three values we can use the rule of three to solve for the missing variable which would be the total amount of trouts in the lake. To do so we multiply the total amount trouts tagged by the number of trouts caught later. Then we multiply that product by the amount that were found to be tagged later.

22 total trouts caught later <=========> 11 trouts were tagged

x total trouts <=========> 174 trouts tagged

(174 * 22) / 11 = 348 total trouts in the lake

Finally, we can see that the conservationist would expect there to be around 348 trouts in the lake.

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Step-by-step explanation:

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3 years ago

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vlabodo [156]

Answer:

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In △ABC , line AB is extended up to point E and line BC is extended up to D . The measure of some of the angles is given as; ∠BA

Over [174]

Answer:

$\angle ACD = 130 ^\circ$ .

Step-by-step explanation:

$\angle ABC$ and $\angle EBC$ are supplementary angles. Their sum should be $180^\circ$ . $\angle EBC = 120^\circ$ $\implies \angle ABC = 180^\circ - \angle EBC = 180^\circ - 120^\circ = 60^\circ$ .

The sum of the three angles in triangle $\triangle ABC$ : $(\angle ABC + \angle BAC + \angle ACB)$ should be equal to $180^\circ$ .

$\angle ABC = 60^\circ$ and $\angle BAC = 70^\circ$ $\implies \angle ACB = 180^\circ - \angle ABC - \angle ACB = 180^\circ - 70^\circ - 60^\circ = 50^\circ$ .

$\angle ACB$ and $\angle ACD$ form another pair of supplementary angles. Their sum should also be $180^\circ$ . $\angle ACB = 50^\circ$ $\implies \angle ACD = 180^\circ - \angle ACB = 180^\circ - 50^\circ = 130^\circ$ .

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4 years ago