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4 years ago

8

Which pair of triangles can be proven congruent by SAS?

2 answers:

Verdich [7]4 years ago

6 0

Answer: The first pair of triangles can be proven congruent by SAS.

Step-by-step explanation:

SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are said to be congruent.

In the first pair of triangles the included angle of a triangle are equal to two sides and the included angle of another triangle, therefore by SAS postulate the two triangles are said to be congruent.

In the second figure, the pair of triangles are congruent by ASA postulate not SAS.

In the third figure, the pair of triangles are not congruent by any postulate or theorem [Because there is no SSA rule].

In the fourth figure, the pair of triangles are congruent by SSS postulate not SAS.

kow [346]4 years ago

5 0

Hi!
SAS stands for Side Angle Side
So you need two sides and then the angle needs to be between them.
The first one works because the angle is in-between the 2 sides
The second one doesn't work because there are actually 2 angles and you only need one
The third one doesn't work because the angle isn't between both the sides.
The fourth one doesn't work because there are only sides and no angles.
So it's only the first one!
Hope this helps!

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How to solve these two problems ？

puteri [66]

8) $\theta$ is -0.896 radians

9) length of arc is 41.91 cm

Solution:

8)

Given that,

$tan\ \theta = \frac{-5}{4}$

$\theta$ is in quadrant 4

To find: $\theta$

From given,

$tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34$

Thus value of $\theta$ is -51.34 degrees

Convert degrees to radians

$-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian$

Thus $\theta$ is -0.896 radians

9)

From given,

radius = 15.4 cm

$\theta = \frac{13 \pi }{15}$

<em><u>The length of arc when angle in radians is:</u></em>

$arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91$

Thus length of arc is 41.91 cm

4 0

3 years ago

Please help meeeee!!!!!!!!! What’s the answer????

uranmaximum [27]

Answer:

The answer would be y= |x-2| -1.

When graphing the answer B would be a larger quantity but A is the correct answer. Hope this helps :))

7 0

3 years ago

I need help with this question

4vir4ik [10]

Answer:

y = 3

Step-by-step explanation:

y/9 = 2/6

y/9 = 1/3 (dividing by 2in both numerator and denominator.)

CROSS MULTIPLYING WE GET

3y = 9*1

3y = 9

y = 3

4 0

3 years ago

Henry's uncle from Japan promised to give him 35 g of gold. The local jewelry exchange will buy gold for $1224 per ounce. How mu

galina1969 [7]

Answer:

$1530

Step-by-step explanation:

First of all, it is required to convert 35g of gold into ounce.

Since,

1 oz = 28 g

or, we can write,

$1 g = \frac{1}{28} oz$

Now, for 35 g of gold, we can write,

$35 * 1 g = 35 * \frac{1}{28} oz\\35 g = 1.25 oz$

Since, local jewelry will buy at $ 1224 per oz, and we have 1.25 oz of gold, so,

$1.25 * 1244\\$1530$

4 0

3 years ago

Read 2 more answers

The midpoint of AB is M(-2,5). If the coordinates of A are (1,7), what are the<br> coordinates of B?

ratelena [41]

Answer:

(-5, 3)

Step-by-step explanation:

B = 2M - A

B = 2(-2, 5) -(1, 7) = (-4-1, 10-7) = (-5, 3)

5 0

3 years ago