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prisoha [69]
3 years ago
10

In the figure the diagonals of a rhombus ABCD intersect at O . If <ADC = 120°, OC = 3cm and OD = 4cm , find

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0

Answer:

did you get it?

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Use elimination method to solve<br> 5x+y=-10<br> 7x-3y=-36
k0ka [10]
5x+y=-10\\ \\ 7x-3y=-36

Let's multiply the first equation by 3. (As you can see y's coefficient in the first one is 1 and in the second one is -3 , we will multiply the first equation by 3 so when we add the equations their sum will be 0)

3\cdot (5x+y)=3\cdot -10\\ \\ 15x+3y=-30

Now let's add this new equation and our second equation.

7x-3y=-36\\ \\ 15x+3y=-30\\ \\ (15x+3y)+(7x-3y)=(-30)+(-36)\\ \\ 15x+7x+3y-3y=-30-36\\ \\ 22x=-66\\ \\ x=\frac { -66 }{ 22 } \\ \\ x=-3

We found x=-3

Now let's plug x's value in one of the equations to find y's value.

x=-3\\ \\ 5x+y=-10\\ \\ 5\cdot -3+y=-10\\ \\ -15+y=-10\\ \\ y=-10+15\\ \\ y=5

So we found y=5

Solution ;

(-3, 5)

7 0
3 years ago
What is the slope of (-6, -5), (-1, 1)
Aleks04 [339]

Answer:

Slope =y2−y1x2−x10−3105−12−31092−310⋅1092⋅10−345−115

Step-by-step explanation:

Slope =y2−y1x2−x10−3105−12−31092−310⋅1092⋅10−345−115

6 0
3 years ago
Read 2 more answers
Which number is NOT in the solution set of the inequality x &lt; −10?
Novay_Z [31]

answer is option A

becoz solution set is x < -10 where -5 > -10 so -5 is not in solution set

7 0
3 years ago
Question part points submissions used find an equation of the plane. the plane that passes through the point (−2, 1, 3) and cont
kkurt [141]
Try this solution (based on 3 steps: equation of the line; points in this line; equation of the plane).

5 0
3 years ago
How do I simplify this?
Fudgin [204]
This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)
7 0
4 years ago
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