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balu736 [363]
3 years ago
7

Figure ABCD is a trapezoid find the Value of x

Mathematics
2 answers:
denpristay [2]3 years ago
4 0

Answer:

<em>The value of x is 4.</em>

Step-by-step explanation:

Figure ABCD is a trapezoid, in which AD and BC are parallel sides.

Given that, AD= 3x+10 and BC=2x

Now, <u>the length of the median</u>  = \frac{1}{2}(AD+BC) , <u>which is given as</u>  15.

So, the equation will be......

\frac{1}{2}[(3x+10)+2x]=15\\ \\ \frac{1}{2}(5x+10)=15\\ \\ 5x+10=2(15)\\ \\ 5x+10=30\\ \\ 5x=30-10\\ \\ 5x=20\\ \\ x=\frac{20}{5}=4

So, the value of x is 4.

valina [46]3 years ago
3 0

Answer:

The value of x is 4

Step-by-step explanation:

we know that

in this problem

\frac{1}{2}(2x+(3x+10))=15

solve for x

\frac{1}{2}(5x+10)=15

(5x+10)=30

5x=30-10

x=20/5=4

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Answer:

57

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

4 0
3 years ago
What is the ordered pair of (0,2)
wel

Given, (0,−2).

Since the x-coordinate is 0, the point clearly lies on y-axis.

Also, the y-coordinate −2 being negative, the point lies on the negative y-axis.

3 0
3 years ago
Distribute -8 - 8(4b + 3)
Anettt [7]

I'll give you a pdf so you can see it yourself and the correct answer is -32b - 32b

Download pdf
6 0
3 years ago
-3x2( 7x2 - x + 4)<br> What is the answer
Lerok [7]

Answer:

6x-108

Step-by-step explanation:

-3 · 2(7 · 2 - x + 4)

= ((−3)(2))((7)(2) +− x + 4)

= −84 + 6x − 24

= 6x − 108

The answer is 6x - 108

6 0
3 years ago
A decorator adds vases to a mantle to decorate. She wants to use 2 matching green vases, 3 matching blue vases, and 4 matching w
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There are 2 green, 3 blue, and 4 white vases.
The green vases can be arranged in 2! = 2*1 = 2 ways.
The blue vases can be arranged in 3! = 3*21 = 6 ways.
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The total number of arrangements is
2*6*24 = 288

Answer: 288

3 0
3 years ago
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