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3 years ago

Tell whether the angle is adjacent or vertical. Then find the value of x

Mathematics

1 answer:

Yuki888 [10]3 years ago

6 0

These angles are adjacent angels.
adjacent angels- have a common side and the same vertex.
(pictured below)

To solve this we set the sum of both angles equal to 180°. We do this because they are two adjacent angles on a straight line. The measure of a straight lines angle is 180°.

180= 5x + (x+96)
180=6x+96
84= 6x
x=14

any questions?

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#15For his science experiment, Julio placed a pan of water in his refrigerator to see how long it would take to evaporate. After

melamori03 [73]

The amount of water in the pan at start is 320 ml.

It takes 16 days until no water remains in the pan.

Step-by-step explanation:

Julio placed a pan of water in his refrigerator to see how long it would take to evaporate.

Let, the volume of water in the the pan during the start be 'x' milliliters.

After 2 days, he found that the water in the pan got reduced to 280 ml
After 4 days, he found that the water in the pan got reduced to 240 ml.

Therefore, the difference in the volume of water within 2 days can be calculated using the given data.

The amount of water reduced in 2 days = volume of water remained after 2 days - volume of water remained after 4 days

⇒ 280 - 240 = 40 milliliters.

In can be determined that :

For 2 days the water gets evaporated by 40 milliliters.
Thus, Each day 20 milliliters of the water gets evaporated from the pan.

To find the amount of water 'x' in the pan at start :

Before 2 days, the water in the pan is 40 milliliters greater than the water in the pan after 2 days.

The amount of water after 2 days is already given in the question itself which is 280 ml.

⇒ x = 280 + 40

⇒ x = 320 ml.

The amount of water in the pan at start is 320 ml.

To find the no. of days until no water remains in the pan :

The number of days at which all the water gets evaporated is calculated by,

⇒ Total milliliters in the pan at start / No.of milliliters evaporated per day

⇒ 320 ml / 20 ml

⇒ 16 days.

It takes 16 days until no water remains in the pan.

8 0

4 years ago

Solve the equation sin2x = 3cos2x. The value of x that satisfies the equation if x lies in the second quadrant is °. The value o

faltersainse [42]

Answer:

$126\degree$

and

$126\degree$

respectively.

Step-by-step explanation:

The given trigonometric equation is

$\sin2x=3\cos2x$

We divide both sides by $\cos2x$ to get,

$\frac{\sin2x}{\cos2x}=3$

This implies that,

$\tan2x=3$

We take the inverse tangent of both sides to get,

$2x=\tan^{-1}(3)$

$\Rightarrow 2x=71.565$

$\Rightarrow x=35.7825$

$\Rightarrow x\approx 36\degree$

Since the tangent ratio has a period of $180\degree$ , another solution is

$x=180+36$

$x=216\degree$ to the nearest degree.

In the third quadrant,

$2x=180+71.565$

$\Rightarrow 2x=251.565$

$\Rightarrow x=125.7825$

$\Rightarrow x=126\degree$

The solutions are

$x=36\degree,126\degree,216\degree$

The value of x that satisfies the equation if x lies in the second quadrant is $126\degree$

The value of x that satisfies the equation if x lies in the third quadrant is $216\degree$

5 0

3 years ago

ILL MARK U BRAINLIEST!!

frez [133]

Answer: 125 or some thing

Step-by-step explanation:

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3 years ago

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Kitty [74]

The answer should be prime. You can’t factor that polynomial

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3 years ago

X + y = 4 y = 2x + 1 solve using the substitution method

quester [9]

X+(2x+1)=4
3x+1=4
x=1
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y=3
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3 years ago