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Margarita [4]
3 years ago
8

LM is the midsegment of trapezoid ABCD. AB= x + 8, LM = 4x + 3, and DC = 187. What is the value of x?

Mathematics
1 answer:
beks73 [17]3 years ago
5 0
\frac{|DC|+|AB|}{2}=|LM|\\\\|AB|=x+8;\ |LM|=4x+3;\ |DC|=187\\\\substitute:\\\\\frac{187+x+8}{2}=4x+3\ \ \ \ /\cdot2\\\\195+x=8x+6\ \ \ /-195;\ /-8x\\\\-7x=-189\ \ \ /:7\\\\\underline{\underline{x=27}}
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An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21,600 Tons. The cars weigh
inysia [295]

Answer:

Number of trucks (y) that can be shipped if the number of cars (x) is known=\frac{21,600-3.6x}{7.5}

Step-by-step explanation:

A cargo ship can carry 21,600 Tons.

Let x denotes number of cars and y denotes number of trucks.

The cars weigh 3.6 tons each and the trucks weigh 7.5 tons each.

Therefore,

3.6x+7.5y=21,600

Now write y in terms of x.

7.5y=21,600-3.6x\\y=\frac{21,600-3.6x}{7.5}

Number of trucks (y) that can be shipped if the number of cars (x) is known=\frac{21,600-3.6x}{7.5}

3 0
4 years ago
Please help me....people are just using my points and im running out.....please help me!!
storchak [24]

Answer

I think that c would equal 4

Step-by-step explanation:

If you need the explanation, here it is:

When looking at the y part of the answer, you can see it goes up by three and that it is missing a point. This means that if the equation is linear, it goes up by one. Hope that's right!!

5 0
3 years ago
Graph the linear equation
Salsk061 [2.6K]
Https://us-static.z-dn.net/files/d4c/b1c4613c4e210c04f4bcda5810cab46d.png

4 0
4 years ago
Read 2 more answers
Line Segment BC has endpoints B (3,5) and C (7,15). Find the missing coordinates of A (x,9) and D (17,y) such that AB and CD are
o-na [289]

Answer:

<em>x=-7</em>

<em>y=11</em>

Step-by-step explanation:

<u>Perpendicular Vectors</u>

Two vectors defined as their endpoints \vec u= and \vec v= are perpendicular if their dot product a.b is zero. The dot product is

\vec u.\vec v=ac+bd

In other words

ac+bd=0

Let's treat all the points as the extremes of vectors, so we can easily find the missing coordinates

B (3,5) and C (7,15) define a segment, the vector  

\overrightarrow{BC}==

The point A is A (x,9), we need to form a vector with B

\overrightarrow{AB}==

this vector must be perpendicular to BC, so, applying the dot product we have

4(x-3)+40=0

4x-12=-40

x=-7

The point D is D(17,y), we need to form a vector with C

\overrightarrow{CD}==

this vector must be perpendicular to BC, so, applying the dot product we have

(4)(10)+(10)(y-15)=0

40+10y-150=0

10y=110

y=11

The points are

\boxed{A(-7,9), D(17,11)}

4 0
3 years ago
What are the means and standard deviations for correct answers from attending a review session
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Your information is incomplete. Therefore, an overview will be given. Mean simply means average.

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