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GREYUIT [131]
3 years ago
14

Pls asap completing square X^2 -24x+5=0

Mathematics
1 answer:
anzhelika [568]3 years ago
4 0

Answer:

Step-by-step explanation:

x² - 24x + 5 = 0

x² - 24x = -5

Now divide the co efficient of x by 2 and square the quotient and add to both sides

24/2 = 12

12² = 144. Now add 144 to both sides of the equation.

x² - 24x + 144 = 5 + 144

x² - 24x  + 144 = 149

x² - 2*12*x + 12² = 149

(x  - 12)² = 149

Both sides take square root

x - 12  = ±√149

x = 12 ± √149

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Step-by-step explanation:

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Line h is represented by the following equation 2x+2y=8
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3 years ago
Find the measure of angle 1
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In ∆FDH, angle D is already given to us as the measure of 80°. We can find out the measure of the other angles of this triangle by using the equation:

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Subtract 80 from both sides of the equation.

2x = 100

Divide both sides by 2.

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This means that angle F and angle H in ∆FDH both measure 50°.

Now, moving over to the next smaller triangle in the picture is ∆DHG. In this triangle, there are also two legs that are congruent which once again indicates that this triangle is isosceles.

First, we have to solve for angle DHG and we do that by using the information obtained from solving for the angles of the other triangle.

**In geometry, remember that two or more consecutive angles that form a line will always be supplementary; the angles add up to 180°.**

In this case angle DHF and angle DHG are consecutive angles which form a linear pair. So, we can use the equation:

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Angle DHG = 130°.

Now that we know the measure of one angle in ∆DHG, we can use the same method as the previous step for solving the missing angles. Use the equation:

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The other two missing angles of ∆DHG are 25°. This means that the measure of angle 1 is also 25°.

Solution: 25°
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