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neonofarm [45]
2 years ago
12

Thanks for your answer​

Mathematics
2 answers:
grandymaker [24]2 years ago
8 0

Answer:

x = 3

y = 9

Step-by-step explanation:

\frac{x}{y} =\frac{1}{3}    →  ( 1 )

  • Use cross multiplication to the above equation.

3x = y   →  ( 2 )

x + y = 12 → ( 3 )

  • Now you can put 3x instead of y to equation (3) according to equation (2).

<u>Let us solve.</u>

x + y = 12

x + 3x = 12

  • And now you can solve the above equation and find the value of x.

4x = 12

Divide both sides by 4.

x = 3

  • Now we can put 3 instead of x to any equation here and find the value of y.

<u>Let us take equation ( 2 )</u>

3x = y

3 × 3 = y

9 = y

Hope this helps you :-)

Let me know if you have any other questions :-)

inna [77]2 years ago
4 0

I hope this helps you feel free to contact me

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So c-9 is less than or equal to 20 so c is less than or equal to 29. So the correct answer is c. Hope this helps :)
5 0
3 years ago
Check My answers!! Algebra
9966 [12]
1.) 4 - t = 3(t - 1) - 5
4 - t = 3t - 3 - 5
4 - t = 3t - 8
3t + t = 4 + 8
4t = 12
t = 12/4 = 3

2.) 8x - 2(x + 1) = 2(3x - 1)
8x - 2x - 2 = 6x - 2
6x - 2 = 6x - 2
0 = 0
solution is identity.

3.) 3(c - 2) = 2(c - 6)
3c - 6 = 2c - 12
3c - 2c = -12 + 6
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4.) 0.5(m + 4) = 3(m - 1)
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5 0
3 years ago
In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M

In the right triangle, two acute angles are always complementary, so

m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}

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MH=1.43\cos 69^{\circ}\approx 0.51\ cm

7 0
3 years ago
What is the length of DE
Valentin [98]

Answer:

5

Step-by-step explanation:

3 0
3 years ago
Noa hopes to pick the winning ticket during her math class’s raffle. the student who picks the ticket with a true statement will
Natali5045456 [20]

Answer: The winning ticket is 2(x-6)=-35 is equivalent to 2x=-23.



Step-by-step explanation:

Let's check all the options

4(x-5)=35 is not equivalent to 4x=40

\text{since }4(x-5)=35\\\Rightarrow4x-20=35\\\Rightarrow4x=35+20\\\Rightarrow4x=55

8(x-7)=35 is not equivalent to 8x=28


\text{since }8(x-7)=35\\\Rightarrow8x-56=35\\\Rightarrow8x=35+56\\\Rightarrow8x=91

2(x-6)=-35 is equivalent to 2x=-23


\text{since }2(x-6)=-35\\\Rightarrow2x-12=-35\\\Rightarrow2x=-35+12\\\Rightarrow2x=-23

9(x-6)=-35 is not equivalent to 9x=-29

\text{since }9(x-5)=-35\\\Rightarrow9x--40=-35\\\Rightarrow9x=-35+40\\\Rightarrow9x=5

Thus, the winning ticket is 2(x-6)=-35 is equivalent to 2x=-23.

4 0
3 years ago
Read 2 more answers
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