Find the value of x. (3x-4) (7x+4)

Mathematics

2 answers:

andreyandreev [35.5K]3 years ago

7 0

Answer:

x=18

Step-by-step explanation:

The 2 angles are on a straight line, and are therefore supplementary. This means that they add to 180 degrees.

So,

3x-4+7x+4=180

First, combine like terms

(3x+7x)+(-4+4)=180

10x+0=180

10x=180

Now, we need to solve for x. To do this, we must get x by itself. Since x and 10 are being multiplied, divide both sides by 10. We divide because division is the opposite of multiplication.

10x/10=180/10

The 10s on the left cancel, so we are left with:

x=180/10

x=18

FrozenT [24]3 years ago

6 0

Answer:

$3x - 4 + 7x + 4 = 180 \\ 3x + 7x = 180 \\ 10x = 180 \\ \frac{10x}{10} = \frac{180}{10} \\ x = 18 \: \: degrees$

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GREYUIT [131]

Question 7: Option 1: x = 33.5°

Question 8: Option 3: x = 14.0°

Step-by-step explanation:

Question 7:

In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle

So,

Perpendicular = P = 32

Hypotenuse = H = 58

So,

$sin\ x = \frac{P}{H}\\sin\ x = \frac{32}{58}\\sin\ x = 0.5517\\x = sin^{-1} ( 0.5517)\\x =33.48$