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Rus_ich [418]
3 years ago
8

If you cross multiply to solve the proportation x/10=6/29, which equation could you use to solve the proportation?

Mathematics
1 answer:
musickatia [10]3 years ago
4 0
X/10 = 6/29
cross multiply
29x = (6)(10)...answer D
You might be interested in
Angles ∠ABC= x and ∠CBD=(2y+4) are complementary. ∠CBD and ∠DBE=(3y+x) are supplementary.
Basile [38]

The missing question is find x , y and the measure of each angle

The values of x and y are x = 28 and y = 30

The measures of ∠ABC is 26°, ∠CBD is 64° and ∠DBE is 116°

Step-by-step explanation:

Let us revise the meaning of complementary angles and supplementary angles

  • Two angles are complementary if their sum is 90°
  • Two angles are supplementary if their sum is 180°

∵ ∠ABC = x

∵ ∠CBD = 2y + 4

∵ ∠ABC and ∠CBD are complementary

- That means their sum is 90°, add their values and equate

   the sum by 90

∴ x + (2y + 4) = 90

∴ x + 2y + 4 = 90

- Subtract 4 from both sides

∴ x + 2y = 86 ⇒ (1)

∵ ∠DBE = (3y + x)

∵ ∠CBD and ∠DBE are supplementary

- That means their sum is 180°, add their values and equate

   the sum by 180

∵ ∠CBD = (2y + 4)

∴ (2y + 4) + (3y + x) = 180

- Add like terms

∴ x + 5y + 4 = 180

- Subtract 4 from both sides

∴ x + 5y = 176 ⇒ (2)

Now we have a system of equations to solve them

Subtract equation (1) from equation (2) to eliminate x

∵ 3y = 90

- Divide both sides by 3

∴ y = 30

- Substitute the value of y in equation (1) to find x

∵ x + 2(30) = 86

∴ x + 60 = 86

- Subtract 60 from both sides

∴ x = 26

∵ ∠ABC = x

∴ The measure of angle ABC is 26°

∵ ∠CBD = 2y + 4

∴ ∠CBD = 2(30) + 4 = 60 + 4 = 64°

∴ The measure of angle CBD is 64°

∵ ∠DBE = 3y + x

∴ ∠DBE = 3(30) + 26 = 90 + 26 = 116°

∴ The measure of angle DBE is 116°

The values of x and y are x = 28 and y = 30

The measures of ∠ABC is 26°, ∠CBD is 64° and ∠DBE is 116°

Learn more:

You can learn more about the complementary angles and supplementary angles in brainly.com/question/10483199

#LearnwithBrainly

6 0
3 years ago
Solve for x and y
BigorU [14]
You can use elimination
7x - 3y = 4
-10x + 3y = 2
Add both equations
-3x = 6, x = -2
Plug in -2 for x in one equation
7(-2) - 3y = 4
-14 - 3y = 4
-3y = 18, y = -6
Solution: x = -2, y = -6
4 0
2 years ago
What is an equation of the line that passes through the points (-5, 8) and (5,0)?
mel-nik [20]

Answer:

y= -0.8x + 4

Midpoint is 0,4

8 0
2 years ago
33 * 32 * 31 * 30 * 3−1 * 3−2
4vir4ik [10]

Answer:

8838715

Step-by-step explanation:

hope this helps:)

3 0
2 years ago
Geometry:(<br><br> will give brainist to correct answer:)
Lorico [155]

Given:

End points a line segment are (9,-8) and (-1,-4).

To find:

The equation of perpendicular bisector of given line.

Solution:

Slope of given line is

m=\dfrac{y_2-y_1}{x_2-x_1}

m_1=\dfrac{-4-(-8)}{-1-9}

m_1=\dfrac{-4+8}{-10}

m_1=\dfrac{4}{-10}

m_1=-\dfrac{2}{5}

Product of slopes of two perpendicular line is -1.

m_1\times m_2=-1

(-\dfrac{2}{5})\times m_2=-1

m_2=\dfrac{5}{2}

So, slope of perpendicular bisector is \dfrac{5}{2}.

Perpendicular bisector passes through the midpoint of given endpoints.

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint=\left(\dfrac{9+(-1)}{2},\dfrac{(-8)+(-4)}{2}\right)

Midpoint=\left(\dfrac{8}{2},\dfrac{-12}{2}\right)

Midpoint=\left(4,-6\right)

So, perpendicular bisector passes through (4,-6) and having slope \dfrac{5}{2}. The equation of perpendicular bisector is

y-y_1=m(x-x_1)

where, m is slope.

y-(-6)=\dfrac{5}{2}(x-4)

y+6=\dfrac{5}{2}(x)+\dfrac{5}{2}(-4)

y+6=\dfrac{5}{2}x-10

y=\dfrac{5}{2}x-10-6

y=\dfrac{5}{2}x-16

Therefore, the equation of perpendicular bisector is y=\dfrac{5}{2}x-16.

7 0
2 years ago
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