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1 year ago

I will Award Brainlist !! please Help its geometry ! :D

Mathematics

1 answer:

madreJ [45]1 year ago

7 0

To prove the congruence between triangles ABC and XYZ, we need to prove that the line segment AX is congruent to the line segment ZC. (Correct choice: B)

<h3>What additional condition must be fulfilled to conclude that two triangles are congruent by Side-Angle-Side Theorem?</h3>

In accordance with Euclidean theorem, there are three forms of proving congruence between two triangles:

Two pairs of adjacent sides and two pairs of angles between these sides (Side - Angle - Side).
Two pairs of adjacent angles and a pair of sides between these angles (Angle - Side - Angle).
Three of pairs of sides (Side - Side - Side).

Then, we find a picture with a geometrical system formed by two triangles, of which we know a pair of congruent lines and a pair of congruent angles. By Side-Angle-Side Theorem, we need to prove that that line segments are AX and ZC are congruent.

To learn more congruence of triangles: brainly.com/question/20521780

#SPJ1

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Solve |3k-2|=2|k+12|

Stella [2.4K]

Answer:

$k = 26$ or $k = -\dfrac{22}{5}$

Step-by-step explanation:

|3k - 2| = 2|k + 12|

$\dfrac{|3k - 2|}{|k + 12|} = 2$

$|\dfrac{3k - 2}{k + 12}| = 2$

$3k - 2 = 2(k + 12)$ or $3k - 2 = -2(k + 12)$

$3k - 2 = 2k + 24$ or $3k - 2 = -2k - 24$

$k = 26$ or $5k = -22$

$k = 26$ or $k = -\dfrac{22}{5}$

7 0

3 years ago

Enter a range of value for x.

zubka84 [21]

Answer:

-2 < x < 35

Step-by-step explanation:

We have that the larger side has a larger opposite angle and the smaller sides and a smaller opposite angle.

The opposite angle of the 14 unit side is 37 °.

The opposite angle of the 13-unit side is (x + 2) °.

Since 13 <14, it would be:

x + 2 <37

we subtract 2 on both sides

x <35

The value of x must be less than 35.

Now, to form a triangle, the angle must be greater than 0.

x + 2> 0

we subtract 2 on both sides

x> -2

The value of x must be greater than - 2.

Therefore the answer would be:

-2 <x <35

8 0

3 years ago

Which number is a rational number?

erik [133]

Answer:

Step-by-step explanation:

17.156 is the irrational number as it is terminating(means it ends)

Rest all are irrational

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2 years ago

Jenny drove 1,255 miles last week. She drove 187 miles on Monday. On Tuesday, she drove 53 more miles than on Monday, on Wednesd

geniusboy [140]

The answer should be 401

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3 years ago

What is the center of the circle that you can circumscribe about a triangle with vertices A(2, 6), B(2, 0), and C(10, 0)?

denis23 [38]

The three points A,B,C are all points on this circle.
Each point is then equal distance from the center, that distance being the radius of the circle.
Using the distance formula, we can find the center of the circle (x,y):
$d^2 = (x-x_0)^2 + (y-y_0)^2$
Plugging in points A and B into distance formula, then setting them equal to each other gives:
$(x-2)^2+(y-6)^2 = (x-2)^2 + y^2$
Right away we can cancel out the x terms leaving:
$(y-6)^2 = y^2$
Expand Left side and Solve for y:
$y^2 -12y +36 = y^2$
$y = 3$
Plug in points B and C as before:
$(x-2)^2 + y^2 = (x-10)^2 + y^2$
Here we can cancel the y-terms.
Expand and solve for x:
$x^2 -4x+4 = x^2 -20x+100$
$16x = 96$
$x = 6$
Therefore the center of the circle is the point (6,3)

6 0

3 years ago