given: km and jn bisect each other. do triangle jkl and triangle nml meet SAS criteria.. NEED DESCRIPTION

Answers

Answer 1

Answer: Yes. The SAS or the Side-Angle-Side postulate is a theorem that states that when two sides of the triangles are congruent, as well as their included angle, the triangles are congruent. Since they bisect each other, they have equal halves of the whole length. And since opposite angles are congruent, their included angles are also congruent.

Related Questions

The manager of a plant nursery bought 120 lb of soil to use for potting plants. the manager can put 5 lb into each of the small pots and 12 lb into each of the large pots. the manager made a sketch to show the line representing the different combinations of pots that can be used. the x-axis represented the number of small pots and the y-axis represented the number of large pots. the manager labeled only the intercepts.which points did the manager label?a.(0, 5)(0, 5) and (12, 0)(12, 0) b.(0, 10)(0, 10) and (24, 0)(24, 0) c.(0, 12)(0, 12) and (5, 0)(5, 0) d.(0, 24)(0, 24) and (10, 0)
Given the equation p=2w+2l solve for w
What is the solution set of (3x - 1)2 = 5?
V = u + 10t Work out the value of v when u = 10 and t = 7
2 angles in a tringle add up to 115 degrees what is the size of the thrid angle #

In a random sample of 75 individuals, 52 people said they prefer coffee to tea. 99.7% of the population mean is between 84/80/74 % and 64/58/54%. (Choose the option closest to your answer.)

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Could you please elaborate further on this question? I think there should be something missing, most likely.

Considering that you're asking a question about the coffee or tea preference people.

But generally the majority of people who prefer something will be between the 84/80/74 % of the mean because these numbers denote a bigger percentage of the diference of the mean. This means they include a bigger amount of people.

Find the measure of b.

Answers

Answer:

b = 80°

Step-by-step explanation:

The inscribed angle measuring 100°, is supplementary to the angle opposite it in the inscribed quadrilateral.

Thus, the angle is = 80°

Therefore, b + 80° = 180° (angle on a straight line = 180°).

Thus, b = 180° - 80° = 100°.

The measure of b is 80°.

Write the word sentence as an inequality, a number m multiplied by 4 is greater than 12

Answers

The given word sentence is m > 3

What is inequality ?

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

"A number m multiplied by 4 is greater than 12"

"A number m" ⇒ m

"multiplied by" ⇒ ×

"4" > 4

"is greater than"⇒ >

"12" ⇒ 12

put this together and we get

m × 4 > 12

4m > 12

it can be simplified to m > 3 if you would like.

To learn more about inequality from here

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"A number m multiplied by 4 is greater than 12"

"A number m" $\rightarrow m$
"multiplied by" $\rightarrow *$
"4" --> $4$
"is greater than" $\rightarrow >$
"12" $\rightarrow 12$

put this together and we get
$m * 4 > 12$
or
$4m > 12$

it can be simplified to $m > 3$ if you would like

Select all the sequences of reflections that produce an image equivalent to the image r(180°, O)(△BCD).

Answers

Answer:

r(180°,0) is a rotation of 180° degrees over the origin.

Notice that this rotation moves our figure to the opposite quadrant (so a translation of two quadrants).

Then this is equivalent to:

A reflection over the x-axis followed by a reflection over the y-axis.

Or.

A reflection over the y-axis followed by a reflection over the x-axis.

There is another possible reflection, but it depends on where is our figure.

If the figure is in the first or third quadrant, a reflection over the line y = -x is equivalent to the rotation.

If the figure is in the second or third quadrant, then the reflection over the line y = x is equivalent to the rotation.

We can combine those two and write:

A reflection over the line y = (-1)^n*x.

Where n is the number associated with the quadrant where the figure is in.

Final answer:

A rotation reflection, r(180°, O)(△BCD), can be achieved by performing two reflections over intersecting lines.

If the lines intersect at an angle of 90 degrees, the combination of the two reflections would result in a 180-degree rotation.

Explanation:

The mathematical question requires knowledge of geometrical transformations, specifically, reflections.

The rotation reflection, r(180°, O)(△BCD), means the initial triangle within the plane is reflected over a point 'O' by 180 degrees.

This reflection will result in an image equivalent to a series of two reflections over intersecting lines.

In commonly accepted mathematical conventions, it is generally accepted that any rotation can be represented by two reflections over intersecting lines.

For instance, two reflections over lines intersecting at an angle ∅/2 represent a rotation by an angle ∅, hence, a rotation by 180 degrees would mean the intersecting angle is 90 degrees.

Learn more about Geometrical Transformations here:

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Which of the following is a solution for the equation 7x + 21 = 105?105
15
84
12

Answers

Answer:

x= 12

Step-by-step explanation:

Simplifying

7x + 21 = 105

Reorder the terms:

21 + 7x = 105

Solving

21 + 7x = 105

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.

21 + -21 + 7x = 105 + -21

Combine like terms: 21 + -21 = 0

0 + 7x = 105 + -21

7x = 105 + -21

Combine like terms: 105 + -21 = 84

7x = 84

Divide each side by '7'.

x = 12

Simplifying

x = 12

Answer:

Step-by-step explanatio

Identify the value of p.

p = 11
p = 10
p = 12
p = 13

Answers

Answer:

Step-by-step explanation:

You may recall that (5, 12, 13) is a Pythagorean triple. That would tell you ...

p = 12

If you have not memorized a few useful Pythagorean triples, you can use the Pythagorean theorem to solve for p. The sum of squares of the sides is the square of the hypotenuse:

5² +p² = (p+1)²

p² +25 = p² +2p +1

24 = 2p . . . . . . . . subtract p²+1 from both sides

p = 12 . . . . . . divide by 2

_____

Additional comment

Some of the Pythagorean triples commonly seen in algebra and geometry problems are ...

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

Of course, multiples of these are used, too. For example, (6, 8. 10) is a multiple of the (3, 4, 5) triple.

Answer:

Step-by-step explanation:

5^2 + p^2 = (p+1)^2