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3 years ago

Use the relationship in the diagrams below to solve for x. Show all work.

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

5 0

Answer:

a. x = 24

b. x = 40

Step-by-step explanation:

You are given a right triangle, so use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + 18^2 = 30^2

x^2 + 324 = 900

x^2 = 576

x = 24

The sum of the measures of all angles is 360 degrees.

x + 2x + 2x + 20 + 3x + 20 = 360

8x + 40 = 360

8x = 320

x = 40

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iVinArrow [24]

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2 years ago

Read 2 more answers

Is the binomial a factor of the polynomial nominal function?

Sedbober [7]

The factors for given equation f(x)= $x^{3} +3x^{2} -25x-75$ .

(x-1) - No
(x-3) - No
(x+3) - Yes
(x-5) - Yes
(x+5) - Yes

<u>Step-by-step explanation:</u>

The given equation is f(x)= $x^{3} +3x^{2} -25x-75$ .

Add 0 at the end of the equation.

$x^{3} +3x^{2} -25x-75$ = 0.

Let us group the given equation,

$(x^{3} +3x^{2}) -(25x-75)$ =0.

⇒ Group 1: $x^{3} +3x^{2}$ .

Group 2: $- 25x +75$ .

Pull out factor from each group,

⇒ Group 1: $(x+3)(x^{2})$ .

Group 2: (x+3) (-25).

Join the two group since both (x+3) is common in both groups.

$(x+3)(x^{2} -25)$ =0.

One of the factor is (x+3).

Other factors are solved by the formula, $a^{2}-b^{2} = (a+b) (a-b)$ .

$(x+3)(x^{2} -25)$ = (x+5) (x-5) .

The other factors are (x+5) and (x-5).

7 0

3 years ago

a light switch works 25% of the time, how many times does it not work if switched on 64 times in a week

alexira [117]

25% of 64 is 16
$\frac{25}{100} = \frac{x}{64} \\ x = \frac{64 \times 25}{100} = \frac{1600}{100} = 16$
it will work properly 16 times
$64 - 16 = 48$
it will not work 48 times
hope this helps

7 0

3 years ago