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3 years ago

Find the value of x.

Mathematics

2 answers:

Dimas [21]3 years ago

7 0

Answer:

x=3

Step-by-step explanation:

32/24=(6x+6)/(9x-9)

simplify by 8 in the left

4/3=6(x+1)/9(x-1)

simplify by 3 in the right

4/3=2(x+1)/3(x-1)

*3 *3

4=2(x+1)/(x-1)

(x+1)/(x-1)=4/2=2

so x+1=2(x-1)=2x-2

-x -x

1=x-2

+2 +2

3=x

so x=3

verify (6*3+6)/(9*3-9)=32/24

24/18=32/24

simplify by 6 in the left

4/3=32/24

simplify by 8 in the right

4/3=4/3 TRUE

arlik [135]3 years ago

4 0

Answer:

or,6x+6=9x-9

or,6+9= 9x-6x

or,15=3x

or,15/3=X

therefore,X=5ans

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Determine the number of possible triangles, ABC, that can be formed given angle A = 30°, a = 4, and b = 6.

Sophie [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

using Sine Law,

$\frac{sinA}{a}=\frac{sinB}{b}$

$\frac{sin30}{4}=\frac{sinB}{6}$

$sinB=0.75$

$angle B = 48.6$

Another angle will be

$angle B' = 180-48.6 = 131.4$

considering angle B, angle C = $180 - (48.6+30)=101.4$

considering angle B', angle C' = $180-(131.4+30)=18.6$

$\frac{sinA}{a}=\frac{sinC}{c}$

$\frac{sin30}{4}=\frac{sin101.4}{c}$

$c = 7.84$

Similarly, finding c'

$\frac{sinA}{a}=\frac{sinC'}{c'}$

$\frac{sin30}{4}=\frac{sin18.6}{c'}$

$c'=2.55$

Hence two triangles are possible with below details: : Answer

A = 30, B = 48.6, C = 101.4, c = 7.84

A = 30, B' = 131.4, C' = 18.6, c' = 2.55

Hope it will help :)

5 0

3 years ago

4(х +Зу) = 2(3х-y) Solve for x

Fittoniya [83]

Answer:

Step-by-step explanation:

use distributive property:

4x+12y=6x-2y

2x=14y

x=7y

6 0

3 years ago

Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw

GalinKa [24]

Answer:

5.6875 in

Explanation:

At the point of tangency, the tangent to a circle and the radius form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

The length of the tangent (6 in) is one leg of the triangle
The distance from vertex and the circle (2.75in) along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
The other leg is the radius, r.

Then, you can use Pythagorean theorem:

(r)² + (6)² = (r +2.75)²

Solve:

r² + 36 = r² + 5.5r + 7.5625

5.5r = 36 - 7.5625

5.5r = 28.4375

r = 5.6875

The solution is in inches: r = 5.6875 inches ← answer

4 0

3 years ago

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Snezhnost [94]

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4 years ago

The oblique rectangular prism below has a length of 6 cm, a width of 8 cm, and a height

Rufina [12.5K]

Answer:

48 , 336

Step-by-step explanation:

B= 6 x 8 = 48

V=BH

V=48 x 7

V= 336

6 0

3 years ago