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Nata [24]
3 years ago
15

If y is 9 and x is 12, what additional information is necessary to show that triangle DUM is congruent to triangle MAP using the

SAS postulate?

Mathematics
1 answer:
Law Incorporation [45]3 years ago
6 0
                         Δ DUM         Δ MAP

hypotenuse:      15                2y-3
short leg:             12                0.5x + 6

y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM

SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.
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Use Newton's method with initial approximation x1 = 1 to find x2, the second approximation to the root of the equation x4 − x −
drek231 [11]

Answer:

x_{2} = 0.0000

Step-by-step explanation:

The formula for the Newton's method is:

x_{i+1} = x_{i} + \frac{f(x_{i})}{f'(x_{i})}

Where f' (x_{i}) is the first derivative of the function evaluated in x_{i}.

x_{i+1} = x_{i} + \frac{x_{i}^{4}-x_{i}-3}{4\cdot x_{i}^{3}-1}

Lastly, the value of x_{2} is determined by replacing x_{1} with its numerical value:

x_{2} = x_{1} + \frac{x_{1}^{4}-x_{1}-3}{4\cdot x_{1}^{3}-1}

x_{2} = 1.0000 + \frac{1.0000^{4}-1.0000-3}{4\cdot (1.0000)^{3}-1}

x_{2} = 0.0000

8 0
3 years ago
What is the volume of the basement?
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5 0
2 years ago
OKay, i need help asap pls. The ratio__ is equivalent to 12/36. The ratio__is not equivalent to 12/36.
EleoNora [17]

The ratio of 1:3 is equivalent to 12/36. The ratio 3 / 4 is not equivalent to 12/36.

Given that,
The ratio__ is equivalent to 12/36. The ratio__is not equivalent to 12/36.
Blank statement to be filled from the options.

<h3>What is the Ratio?</h3>

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
12 / 36 = 1 / 3
and
12 / 36 ≠ 3 / 4

Thus,  the ratio of 1:3 is equivalent to 12/36. The ratio 3 / 4 is not equivalent to 12/36.


Learn more about Ratio here:

brainly.com/question/13419413

#SPJ1

The question seems to be incomplete,
So we will fill a ratio that is equivalent to 12 / 36 and one ratio that is not equivalent to 12 / 36,
We have two ratios here 1:3 and 3:4


8 0
1 year ago
Q.2 - What is the value of y in the equation 3(4y - 12) = 0 ? Show your work.
Alex

Hey there!

3(4y - 12) = 0

3(4y) + 3(-12) = 0

12y - 36 = 0

Add 36 to both sides

12y - 36 + 36 = 0 + 36

Cancel out: -36 + 36 because it give you 0

Keep: 0 + 36 because it help solve for the equation

New equation: 12y = 0 + 36

Simplify it

12y = 36

DIVIDE 12 to both sides

12y/12 = 36/12

Cancel out: 12/12 because that give you 1

Keep: 36/12 because it give you the y-value (also known as your overall result)

New equation: y = 36/12

Simplify it

y = 3


Therefore, your answer should be:

y = 3


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

5 0
1 year ago
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