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4 years ago

Geometry - Will give 5 stars + Thanks!

Mathematics

1 answer:

Fynjy0 [20]4 years ago

5 0

Answer:

Step-by-step explanation:

We know:

The diagonals in a parallelogram divide by halves.

Therefore KG = UG and DG = CG.

We have

KG = 5y - 8, UG = 3y, DG = 4x - 7, CG = x + 2

Substitute:

5y - 8 = 3y add 8 to both sides

5y = 3y + 8 subtract 3y from both sides

2y = 8 divide both sides by 2

y = 4

---------------

4x - 7 = x + 2 add 7 to both sides

4x = x + 9 subtract x from both sides

3x = 9 divide both sides by 3

x = 3

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How much liquid will fit in the glass shown? Round your answer to the nearest hundredth.

Lubov Fominskaja [6]

Answer:15

Step-by-step explanation:

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4 years ago

Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)

nekit [7.7K]

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in $y=mx+b$ form. In this for the following are:

$m$ is the slope of the line
$b$ is the y intercept

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Upon inserting our points into the equation, we get a slope of -1.

$\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1$

Creating The Equation

To create the equation in $y=mx+b$ form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

$y=-1x-2$

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

5 0

3 years ago

What is the volume of the right prism 8 mm 18 mm 12 mm

lisabon 2012 [21]

It will be clearly B.38mm3

7 0

3 years ago

Only answer this if you have an explanation and if you know what the answer is.

Klio2033 [76]

Answer:

Step-by-step explanation:

Since there are 50 students being asked, to find a percentage, put the output (the number of students that chose each genre) and the input (the number of students asked all together) in ratio form as a fraction. You will get the fractions 10/50, 16/50, 20/50, and 4/50. Multiply each denominator by two to get the percentage. You will get 20/100, 32,/100, 40/100, and 8/100. If you look at the four answers provided, you can cross out J immediately because it shows that "Other" was the greatest percentage, when it is in fact the smallest. H can be crossed out as well, since the percentage for "Mystery" is over 20% when it should be exactly at 20%. F can be crossed out as well because it shows that "Other" takes up 10%, when it is actually a bit less, 8%. G is the best choice because the percentage that "Other" takes up is a bit less than 10%, so it's safe to say that it shows 8%.

8 0

3 years ago

(02.01)Polygon LMNP slides 5 units right and 4 units down on the coordinate plane. If the original measure of angle M was 50 deg

yarga [219]

Answer:

50°

Step-by-step explanation:

Transformation is the movement of one point from its initial location to a final location. If an object is transformed, all its points are transformed. Types of transformation is reflection, dilation, rotation and translation.

If an object is translated, it maintains its shape and size as well as the length of its sides and angles, only the location changes.

If polygon LMNP with ∠M of 50° is translated 5 units right and 4 units down to a new point, M' has the same angle measure. Hence ∠M' = 50°

4 0

3 years ago