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belka [17]
3 years ago
6

Special Right Triangles

Mathematics
1 answer:
Leokris [45]3 years ago
7 0

Answer:

first option

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin30° = \frac{1}{2} , cos30° = \frac{\sqrt{3} }{2}

sin30° = \frac{opposite}{hypotenuse} = \frac{x}{32} = \frac{1}{2} ( cross- multiply )

2x = 32 ( divide both sides by 2 )

x = 16

----------------------------------------------------------

cos30° = \frac{adjacent}{hypotenuse} = \frac{y}{32} = \frac{\sqrt{3} }{2} ( cross- multiply )

2y = 32\sqrt{3} ( divide both sides by 2 )

y = 16\sqrt{3}

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Answer:

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Step-by-step explanation:

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0-132

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8 0
3 years ago
ΔMNO is shown.
JulijaS [17]

Answer:

ABC - AAS

DEF - not enough information

GHI - not enough information

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Step-by-step explanation:

SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

AAS postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

HL postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

1. In triangles MNO and ABC, there are two congruent sides and non-included angle - AAS

2. In triangles MNO and DEF, there are two congruent sides  - there is not enough information

3. In triangles MNO and GHI, there are three congruent angles  - there is not enough information

4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS

5 0
3 years ago
A rectangle measures 54 feet by 72 feet. What is the length, in feet, of
igomit [66]

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breath (b) =72

l²+b²= diagonal²..........(Pythagoras theorem) and (all sides of rectangle are 90degree)

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8100=diagonal²

90= diagonal.............(taking square root)

length of diagonal is 90ft

i hope it helps

have a nice day and thanks for asking this question

6 0
3 years ago
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$337.05

Step-by-step explanation:

450 x (1- 0.3)= $315

$315 x (1+0.07)= $337.05

4 0
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QveST [7]

2/3 is the smallest fraction. So, 2/3 is the smallest ratio....!

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3 0
3 years ago
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