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2 years ago

Find x and y. Give reasons to justify your solution

Mathematics

2 answers:

Luda [366]2 years ago

8 0

Step-by-step explanation:

27 + 3y = 90

3y = 90 - 27

y = 21

27 + (21×3) + x + 8x + 18 = 180 ( angles on a straight line sum up to 180)

9x + 108 = 180

9x = 180 - 108

9x = 72

x = 72/9

x = 8 degrees

kkurt [141]2 years ago

4 0

Answer:

Y=21

X=8

Step-by-step explanation:

In the middle there is a right angle

therefore 27 +3y=90

Y will be 21

Then x+27+63+8x+18=180

x=8

Hence 8+27+3(21)+8(8)+18=180

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sweet-ann [11.9K]

Answer:

m=-4

Step-by-step explanation:

5m-10m=-10m+5m=-(10m-5m)=-5m=20

divide by 5 on both sides, -m=4

miltiply by -1 on both sides, m=-4

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2 years ago

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Please help me with this .

solniwko [45]

Answer:

x=4

Step-by-step explanation:

It's a parallel line so the equation is

100+19x+4=180

19x=180-100-4

19x=76

x=76/19

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2 years ago

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X+9=2x-3 FIND THE X!!!!!!

Ierofanga [76]

Answer:

x = 12

Step-by-step explanation:

To find "x", we need to isolate it. This means move "x" to the left side, and everything else to the right side.

When moving a number, do its reverse operation to the entire equation.

x + 9 = 2x - 3

x - 2x + 9 = 2x - 2x - 3 Subtract 2x from both sides

-x + 9 = -3

-x + 9 - 9 = -3 - 9 Subtract 9 from both sides

-x = -12

-x/-1 = -12/-1 Divide both sides by -1 to get rid of the negatives

x = 12 Final answer

Check your answer. Split the equation for the left and right sides. Substitute "x" for the answer "12".

LS: (left side)

x + 9

= 12 + 9 Add

= 21

RS: (right side)

2x - 3

= 2(12) - 3 Multiply before subtracting

= 24 - 3 Subtract

= 21

Both sides equal to 21 when "x" is 12.

LS = RS left side equals right side

Therefore the answer is correct.

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3 years ago

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ddd [48]

Answer:

e

Step-by-step explanation:

According to Angle Sum Property :

∠A + ∠B + ∠C = 180°

============================================================

Given :

⇒ ∠A = 50°

⇒ ∠B = 32°

===========================================================

Solving :

⇒ 50° + 32° + ∠C = 180°

⇒ ∠C + 82° = 180°

⇒ ∠C = 98°

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2 years ago

16) Please help with question. WILL MARK BRAINLIEST + 10 POINTS.

Katyanochek1 [597]

We will use the sine and cosine of the sum of two angles, the sine and consine of $\frac{\pi}{2}$ , and the relation of the tangent with the sine and cosine:

$\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta$

$\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0$

$\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}$

If you use those identities, for $\alpha=x,\ \beta=\dfrac{\pi}{2}$ , you get:

$\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x$

$\cos\left(x+\dfrac{\pi}{2}\right) = \cos x \cdot \cos\dfrac{\pi}{2} - \sin x\cdot\sin\dfrac{\pi}{2} = \cos x \cdot 0 - \sin x \cdot 1 = -\sin x$

Hence:

$\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x$

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3 years ago