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3 years ago

Which pair of triangles can be proven congruent by SAS?

Mathematics

2 answers:

Verdich [7]3 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]3 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!

Read more about dice at:

brainly.com/question/13632618

#SPJ1

3 0

1 year ago

WILL GIVE BRAINLIEST The angle of elevation from Ben to the top of a telephone pole is 62 degrees. If Ben is standing 8 feet fro

MrRissso [65]

Answer: The height of the telephone pole = $15.046

Step-by-step explanation:

Given: Angle of elevation= 62 degrees.

Distance of Ben from the base of the pole = 8 feet

According to trigonometry, we have

$\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}$

i.e.

$\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046$

Hence, The height of the telephone pole = $15.046

4 0

2 years ago

Help me ive been up all night doing math

-BARSIC- [3]

Answer:

See below ~

Step-by-step explanation:

(a)

The point (8, 28) represents that in the time of 8 minutes, 28 cm of the horse trough has been filled.

8 minutes 28 centimeters

(b)

Finding the unit rate

No. of centimeters / min.
28 cm / 8 min
3.5 cm/min

5 0

1 year ago

Alana and Petra go to a used book sale, where every book is the same price. Alana buys 4 books and Petra buys 2 books. They run

galben [10]

Answer:

each book is 2 dollars

Step-by-step explanation:

x=price per book

angus=16x-15

16x-15-5=4x+2x

=16x-20=6x

=-20=-10x

2=x

tadaa!!

your very welcome

3 0

2 years ago

Please help me solve this

Tpy6a [65]

Answer:

1st pic:

x = 49

top angle = 45

bottom angle = 108

far right angle = 27 degrees

2nd pic:

angle 1 = 88 degrees

angle 2 = 57 degrees

angle 3 = 35 degrees

angle 4 = 145 degrees

Step-by-step explanation:

1st pic:

you can find the far right angle by taking 153 and subtracting it from 180:

⇒ 180 - 153 = 27 degrees

you can find x by the following equation ⇒ x - 4 + 2x + 10 + 27 = 180

combine like terms ⇒ 3x + 33 = 180

subtract 33 from each side ⇒ 3x + 33 - 33 = 180 - 33 ⇒ 3x = 147

divide 3 on each side: ⇒ $\frac{3x}{3} = \frac{147}{3}$

x = 49

to find the top and bottom angles, substitute 49 for x:

top angle : x - 4

49 - 4 = 45 degrees

bottom angle: 2x + 10

2 x 49 + 10 = 108 degrees

2nd pic:

angle 1:

⇒ 180 - 92 = 88 degrees

angle 2:

⇒ 180 - 123 = 57 degrees

angle 3:

⇒ 180 - (88 + 57) = 35 degrees

angle 4:

⇒ 180 - 35 = 145 dgerees

4 0

2 years ago