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koban [17]
2 years ago
9

Geometry proof help please

Mathematics
2 answers:
Aleks [24]2 years ago
6 0
JK = MN because of Given

∠JLK = ∠MLN because of the vertical angle theorem

JL = LN because of definition of midpoint

ΔJLK = MLN because of SAS

∠K = ∠N because corresponding angles of congruent triangles are congruent.

Hope this helps!<span />
frez [133]2 years ago
6 0
Check the picture below.

so, therefore, the triangles KLJ and NLM have a side, then another adjacent side and an angle in common, Side Side Angle.  That means both triangles are congruent, and if they're congruent, so are all of their angles too.

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Please help solve <br> 5!3!/6! = ?
dangina [55]
5! = 5 * 4 * 3 * 2 * 1 = 120
3! = 3 * 2 * 1 = 6
6! = 6 * 5 * 4 * 3 * 2 * 1 = 720

120 * 6 / 720

= 1
6 0
3 years ago
Read 2 more answers
What is 31,084.5 expanded notation
Svet_ta [14]

Answer:

30000+1000+80+4+0.5

Step-by-step explanation:

Expanded notation can be defined as to rewrite the numbers to show their place values

For example in the given question 3 is at the tenth thousand place, 1 is at the thousand'th place,8 at tenth and 4 at unit place so the solution for the question is given below:

30000+1000+80+4+0.5

3×10000+1×1000+8×10+4×1+(5×1÷10)

3 0
2 years ago
3 kg of potatoes and 2 kg of apples cost a total of £7.33.
KengaRu [80]

Answer:

€2.24

Step-by-step explanation:

Let, the potatoes be x and apples be y

A/c to question,

4x = 3.80

x = 0.95

And,

3x + 2y = 7.33

3*0.95 + 2y = 7.33

2y = 7.33 - 2.85

y = 4.48/2

y = €2.24

Hence, the cost of 1 kg apple (y) = €2.24

8 0
2 years ago
Can anyone help?
SVEN [57.7K]

For the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Since the equation is (2k + 1)x² + 2x = 10x - 6, we collect subtract 10x from both sides and add 6 to both sides.

So, we have (2k + 1)x² + 2x - 10x + 6 = 10x - 6 - 10x + 6

(2k + 1)x² - 8x + 6 = 0

For the equation, (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, this new equation (2k + 1)x² - 8x + 6 = 0 must also have two real and equal roots.

For the equation to have two real and equal roots, its discriminant, D = 0.

D = b² - 4ac where b = -8, a = 2k + 1 and c = 6.

So, D =  b² - 4ac

D =  (-8)² - 4 × (2k + 1) × 6 = 0

64 - 24(2k + 1) = 0

Dividing through by 8, we have

8 - 3(2k + 1) = 0

Expanding the bracket, we have

8 - 6k - 3 = 0

Collecting like terms, we have

-6k + 5 = 0

Subtracting 5 from both sides, we have

-6k = -5

Dividing through by -6, we have

k = -5/-6

k = 5/6

So, for the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Learn more about quadratic equations here:

brainly.com/question/18162688

4 0
3 years ago
A circle has radius 50 cm. Which of these is closest to its area?
olga55 [171]

Answer:

7854 cm²

Step-by-step explanation:

3.14 x 50² = 7850

4 0
2 years ago
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