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FrozenT [24]
3 years ago
11

Reasonableness Is the product of 6×2×4 less than 50? Explain

Mathematics
1 answer:
Svetach [21]3 years ago
6 0
The product of 6x2x4 is 48 because 6x2 is 12 and then that times 4 is 48. So the product is less than 50
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A quadrilateral is ____ a parallelogram
grandymaker [24]
I believe it's always a parallelogram??
3 0
3 years ago
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In a class of 23 students 9 are taking German and nine are taking Spanish. Of the student studying German or Spanish, 3 are taki
Colt1911 [192]
8 Students are not enrolled. Reason being 9 are taking German and 9 are taking Spanish so 9+9= 18 but because 3 are taking both you subtract 3 so that would give you 15 and 23-15=8

Answer: 8 Students 
4 0
3 years ago
If x = -5 <br><br> x2 + 3<br> x - 2
MAXImum [283]

Answer:

Step-by-step explanation:

8 0
2 years ago
please help me, Prove a quadrilateral with vertices G(1,-1), H(5,1), I(4,3) and J(0,1) is a rectangle using the parallelogram me
mestny [16]

Answer:

Step-by-step explanation:

We are given the coordinates of a quadrilateral that is G(1,-1), H(5,1), I(4,3) and J(0,1).

Now, before proving that this quadrilateral is a rectangle, we will prove that it is a parallelogram. For this, we will prove that the mid points of the diagonals of the quadrilateral are  equal, thus

Join JH and GI such that they form the diagonals of the quadrilateral.Now,

JH=\sqrt{(5-0)^{2}+(1-1)^{2}}=5 and

GI=\sqrt{(4-1)^{2}+(3+1)^{2}}=5

Now, mid point of JH=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

=(\frac{5+0}{2},\frac{1+1}{2})=(\frac{5}{2},1)

Mid point of GI=(\frac{5}{2},1)

Since, mid point point of JH and GI are equal, thus GHIJ is a parallelogram.

Now, to prove that it is a rectangle, it is sufficient to prove that it has a right angle by using the Pythagoras theorem.

Thus, From ΔGIJ, we have

(GI)^{2}=(IJ)^{2}+(JG)^{2}                             (1)

Now, JI=\sqrt{(4-0)^{2}+(3-1)^{2}}=\sqrt{20} and GJ=\sqrt{(0-1)^{2}+(1+1)^{2}}=\sqrt{5}

Substituting these values in (1), we get

5^{2}=(\sqrt{20})^{2}+(\sqrt{5})^{2} }

25=20+5

25=25

Thus, GIJ is a right angles triangle.

Hence, GHIJ is a rectangle.

Also, The diagonals GI=\sqrt{(4-1)^{2}+(3+1)^{2}}=5  and HJ=\sqrt{(0-5)^2+(1-1)^2}=5 are equal, thus, GHIJ is a rectangle.

6 0
3 years ago
Use the distributive property to remove the parentheses.
kifflom [539]

Answer:

10x + 8y - 2

Step-by-step explanation:

-2(-5x – 4y+1) \\  \\  = ( - 2)( - 5x)  -  2 ( -  4y) - 2 \times 1 \\  \\  = 10x + 8y - 2

3 0
3 years ago
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