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3 years ago

Given: Parallelogram LMNO; MO ⊥ LN Prove: LMNO is a rhombus. ♣: ♦: ♠:

Mathematics

2 answers:

Mekhanik [1.2K]3 years ago

5 0

You need to prove that the 4 triangles formed are all congruent
(they are congruent by SAS.

Umnica [9.8K]3 years ago

3 0

1.All right angles are congruent

2.Reflexive property

3. opposite sides of a parallelogram are congruent.

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the owner of a furniture store decides to reduce the price of a sofa from $800 to $560. by what percentage was the price of the

mel-nik [20]

Answer:

= 30%

Step-by-step explanation:

$800 - $560

=$ 240

If $ 800 = 100%

What about $ 240 = ?

(240 x 100) ÷ 800

24000 ÷ 800

= 30%

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4 years ago

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You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side

Anestetic [448]

8 centimeters. hope this helps

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3 years ago

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In a sale a gameboys are reduced by two fifths. what is the sale price if the original price was 50

vladimir1956 [14]

Answer:

The sale price would be $30.

Step-by-step explanation:

2/5 is like saying 20/50. If you take 50 and subtract 20 from that, you will be left with 30.

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3 years ago

Which choice is the graph of y < x – 5? (Need Help!!!)

olchik [2.2K]

Answer:

It should be the second answer!

Step-by-step explanation:

8 0

3 years ago

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(1 point) Consider the function f(x)=2x3−9x2−60x+1 on the interval [−4,9]. Find the average or mean slope of the function on thi

OlgaM077 [116]

Answer: c = 4.97 and c = -1.97

Step-by-step explanation: Mean Value Theorem states if a function f(x) is continuous on interval [a,b] and differentiable on (a,b), there is at least one value c in the interval (a<c<b) such that:

$f'(c) = \frac{f(b)-f(a)}{b-a}$

So, for the function f(x) = $2x^{3}-9x^{2}-60x+1$ on interval [-4,9]

$f'(x) = 6x^{2}-18x-60$

f(-4) = $2.(-4)^{3}-9.(-4)^{2}-60.(-4)+1$

f(-4) = 113

f(9) = $2.(9)^{3}-9.(9)^{2}-60.(9)+1$

f(9) = 100

Calculating average:

$6c^{2}-18c-60 = \frac{100-113}{9-(-4)}$

$6c^{2}-18c-60 = -1$

$6c^{2}-18c-59 = 0$

Resolving through Bhaskara:

c = $\frac{18+\sqrt{1740} }{12}$

c = $\frac{18+41.71 }{12}$ = 4.97

c = $\frac{18-41.71 }{12}$ = -1.97

Both values of c exist inside the interval [-4,9], so both values are mean slope: c = 4.97 and c = -1.97

7 0

4 years ago