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Sergeu [11.5K]
3 years ago
12

Help!

Mathematics
1 answer:
RideAnS [48]3 years ago
5 0

Answer:

14 units

Step-by-step explanation:

BE = 10x-3

DE = 8x -1

In a parallelogram, diagonals meet each other at their center points:

BE = DE

10x - 3 = 8x -1

2x = 2

x  = 1

The length BD = BE + DE = 18x -4 = 18*1 -4 = 14 units

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Two apples and three peaches cost $1.65. three apples and two peaches cost $1.60. what is the cost of one peach
marta [7]
Apples = $.30
Peaches = $.60

You can get this by setting up a system of equations that looks like this. 

2x + 3y = 1.65
3x + 2y = 1.60

Where x is the amount of apples and y is the number of peaches. Then you can solve using any of the methods (I would suggest elimination for ease). 
7 0
3 years ago
A house is selling for $750,000. The real estate agent will earn a 6% commission on the sale of this house. How much commission
melisa1 [442]
6% of 750,000....turn percent to a decimal, " of " means multiply

0.06 * 750,000 = 45,000 <==
3 0
3 years ago
Triangle PQR where P(1,4), Q(-3,-4),R(7,k) is right-angled at Q. find the value of k
NikAS [45]

Answer:

k = -9.

Step-by-step explanation:

As the triangle is right-angled at Q, by Pythagoras:

PR^2 = PQ^2 + RQ^2

So, substituting the given data and using the distance formula between 2 points:

(7 - 1)^2 + (k - 4)^2 =  (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2

36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2

(k - 4)^2 - (k + 4)^2 = 180 - 36

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8 0
3 years ago
Read 2 more answers
Cos^2x+cos^2(120°+x)+cos^2(120°-x)<br>i need this asap. pls help me​
o-na [289]

Answer:

\frac{3}{2}

Step-by-step explanation:

Using the addition formulae for cosine

cos(x ± y) = cosxcosy ∓ sinxsiny

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

cos(120 + x) = cos120cosx - sin120sinx

                   = - cos60cosx - sin60sinx

                   = - \frac{1}{2} cosx - \frac{\sqrt{3} }{2} sinx

squaring to obtain cos² (120 + x)

= \frac{1}{4}cos²x + \frac{\sqrt{3} }{2}sinxcosx + \frac{3}{4}sin²x

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

cos(120 - x) = cos120cosx + sin120sinx

                   = -cos60cosx + sin60sinx

                   = - \frac{1}{2}cosx + \frac{\sqrt{3} }{2}sinx

squaring to obtain cos²(120 - x)

= \frac{1}{4}cos²x - \frac{\sqrt{3} }{2}sinxcosx + \frac{3}{4}sin²x

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

Putting it all together

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= cos²x + \frac{1}{2}cos²x + \frac{3}{2}sin²x

= \frac{3}{2}cos²x + \frac{3}{2}sin²x

= \frac{3}{2}(cos²x + sin²x) = \frac{3}{2}

                 

5 0
3 years ago
Which of the Following statements is NOT true?
Mice21 [21]

Answer:

the statement which is not   true is

~All Irrational Numbers are real Numbers

4 0
3 years ago
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