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fomenos
3 years ago
11

1. What is the value of x in the figure? (4x + 2) 150°

Mathematics
1 answer:
vlabodo [156]3 years ago
3 0
X = 37
150= 4x + 2
148 = 4x
X = 37
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Solve for xxx. Write the smaller solution first, and the larger solution second.
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Answer:

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Step-by-step explanation:

We have been given an equation x^2+3x-10=0. We are asked to find the solutions of our given equation.

We will use splitting the middle term method to solve quadratic equation.

We will split middle term of our given equation into parts such that whose product is -10 and whose sum is 3.

We know that such two numbers are 5\text{ and }-2.

x^2+5x-2x-10=0

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(x+5)(x-2)=0

Using zero product property, we will get:

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x+5=0\text{ or }x-2=0

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Therefore, the solutions for our given equation are x=-5\text{ or }x=2.

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Answer:

The river is 3.15 feet deep.

Step-by-step explanation:

First let's recognize what we need to find: the depth of the river

We know last year the river was 4.2 feet deep, but it dropped 25%. This means we also need to find how much it dropped. To find this, we need to know what 25% of 4.2 is. Write an equation for this.

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This means that the river dropped 1.05 feet. To know its depth now, we need to subtract 1.05 from 4.2. Write an equation for this.

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Hope this helps!

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