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JulijaS [17]
3 years ago
12

What type of equation is used? (Leg/Altitude Proportion)

Mathematics
1 answer:
Trava [24]3 years ago
8 0

Step-by-step explanation:

In each case, use similar triangles to write a proportion.

If it helps, draw each triangle separately, with the right angles in the same position.

7. Write a proportion between the smaller triangles:

5 / 8 = 8 / (x−5)

64 = 5 (x−5)

12.8 = x−5

x = 17.8

9. Write a proportion between the top triangle and the big triangle:

x / 4 = 4 / (x+6)

16 = x (x+6)

16 = x² + 6x

0 = x² + 6x − 16

0 = (x−2) (x+8)

x = 2

11. Write a proportion between the smaller triangles:

3 / 4 = 4 / x

16 = 3x

x = 5.33

13. Write a proportion between the top triangle and the big triangle:

3 / x = x / (3+4)

x² = 21

x = 4.58

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If 2x+ y= 10 and y=3x find the value of both x and y
Marat540 [252]

Given the set of equations:

2x + y = 10

y = 3x

Let's solve for x and y.

Here, let's use substitution method.

Substitute 3x for y in equation 1:

2x + y = 10

2x + 3x = 10

5x = 10

Divide both sides by 5:

\begin{gathered} \frac{5x}{5}=\frac{10}{5} \\  \\ x=2 \end{gathered}

In equation 2, substitute 2 for x to find y.

y = 3x

y = 3(2)

y = 6

Therefore, we have:

x = 2 and y = 6

ANSWER:

x = 2, y = 6

6 0
1 year ago
122 x 69, please help I’m
slava [35]

8418 just put it in a calculator next time

4 0
3 years ago
A metal cube
Ierofanga [76]

Answer: 2.73 cm

Step-by-step explanation:

Given that :

Side (a) of cube = 4.4cm

Volume of a cube (V) = a^3

V = 4.4^3

V = 85.184cm^3

Therefore, volume of the sphere made = 85.184cm^3

Volume of sphere = 4/3 πr^3

Where r = radius

85.184 = (4/3)*(22/7)*r^3

85.184 = (88/21)*r^3

85.184 = 4.1905 * r^3

r^3 = 85.184 / 4.1905

r^3 = 20.327884

Take the cube root of both sides

r = 2.73 cm

5 0
3 years ago
At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students pl
Sophie [7]

Answer:

9/11

Step-by-step explanation:

Well we know there are 55 students in total and only 45 of them can either play a string or brass instrument.

So 45/55 is 9/11

Thus probably is 9/11 of a randomly selected student who plays either a string or brass.

5 0
2 years ago
Y intersepts examples
Inga [223]

Answer:

3x+4y-12=0

y intercept = -constant term/coefficient. of y

= 12/4

=3

8 0
3 years ago
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