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Which postulate or theorem would you use to prove these two triangles congruent?

Answers

Answer 1

Answer:

Answer:

SSS

Step-by-step explanation

youre given only side conguencys, so you cant prove the angles are conguent

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Find the value of each trigonometric ratio.A. 37/35B. 12/37C. 12/35D. 37/12

What is the problem for this Problem?

Answers

Answer:

Negative: (-∞,-3] and [1/2,-∞)

Positive: [-3,1/2]

Step-by-step explanation:

The derivative is the instantaneous rate of change at any given point for a function. Given this we know that anywhere the function is in the positive or negative direction, the derivative will also be in the positive or negative direction. We also know that wherever there is a peak or a trough, there will be no slope and it signifies a change in direction. For this function, this means the direction changes at -3 and 1/2.

Find four rational numbers between -3/2 and 5/3

Answers

Answer:

Four rational numbers between $-(3)/(2)$ and $(5)/(3)$ are $x_(1) = -(13)/(15)$ , $x_(2) = -(7)/(30)$ , $x_(3) = (2)/(5)$ and $x_(4) = (31)/(30)$ .

Step-by-step explanation:

First, we calculate the distance between $-(3)/(2)$ and $(5)/(3)$ :

$r = (5)/(3)-\left(-(3)/(2)\right)$

$r = (5)/(3)+(3)/(2)$

$r = (10+9)/(6)$

$r = (19)/(6)$

Then, we find four rational numbers by using the following formula:

$x = -(3)/(2)+\left((n)/(5))\cdot \left((19)/(6) \right)$

First number ( $n = 1$ )

$x_(1) = -(13)/(15)$

Second number ( $n = 2$ )

$x_(2) = -(7)/(30)$

Third number ( $n = 3$ )

$x_(3) = (2)/(5)$

Fourth number ( $n = 4$ )

$x_(4) = (31)/(30)$

Solve for x. Round to the nearest tenth. triangle 67, 29, x

Answers

Final answer:

To solve for x in a triangle with side lengths of 67, 29, and x, we can use the Law of Cosines. The value of x is approximately 47.6.

Explanation:

To solve for x in the given triangle with side lengths 67, 29, and x, we can use the Law of Cosines. The Law of Cosines states that for any triangle with side lengths a, b, and c and angle C opposite side c, the following equation holds true: c^2 = a^2 + b^2 - 2ab*cos(C). In this case, we can substitute the given values into the equation and solve for x. Let's calculate it:

x^2 = 67^2 + 29^2 - 2*67*29*cos(C)

x^2 = 4489 + 841 - 3886cos(C)

Solving for x, we find that x is approximately 47.6.

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Answer:

84°

Step-by-step explanation:

Because every triangle has a combined side length of 180°

67+29=96°

180-96=84°

Which phrase represents the algebraic expression 3d+7?

Answers

Answer:

3 multiplied by a variable d and add seven to it

Step-by-step explanation:

3 multiplied by a variable d and add seven to it.

Which is equivalent to the following expression (3m^2+2mn-n^2)+(m^2+4mn-n^2)

Answers

Based on the available information, the expression (3m² + 2mn - n²) + (m² + 4mn - n²) is equivalent to 4m² + 6mn - 2n².

How the equivalent expression is determined?

To simplify the expression (3m² + 2mn - n²) + (m² + 4mn - n²), we can combine like terms.

Like terms have the same variables and the same exponents.

Let's group the like terms together:

(3m² + m²) + (2mn + 4mn) + (-n²- n²)

Combining like terms within each group, we get:

4m² + 6mn - 2n²

Therefore, in this case, it is concluded that the expression (3m² + 2mn - n²) + (m² + 4mn - n²) is equivalent to 4m² + 6mn - 2n².

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Answer:

4m² + 6mn - 2n²

Step-by-step explanation:

$(3m^2+2mn-n^2)+(m^2+4mn-n^2)\n\n=3m^2+2mn-n^2+m^2+4mn-n^2\qquad\text{combine like terms}\n\n=(3m^2+m^2)+(2mn+4mn)+(-n^2-n^2)\n\n=\boxed{4m^2+6mn-2n^2}$

What should be done to both sides of the equation in order to solve y + 8.5 = 17.2?Add 8.5.
Subtract 17.2.
O Add 17.2.
Subtract 8.5.

Answers

Subtract 8.5 from both sides to solve equation.

What is a expression? What is a mathematical equation?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.
A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correctanalysis, observations and results of the given problem.

We have the following equation -

y + 8.5 = 17.2

y + 8.5 - 8.5 = 17.2 - 8.5

y = 8.7

Therefore, Subtract 8.5 from both sides to solve equation.

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Answer:

Subtract 8.5

Step-by-step explanation:

To solve the equation, y has to be isolated (only y will be on one side of the equation)