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Dima020 [189]
3 years ago
10

Which of the following are valid names for the given triangle ? check all that apply

Mathematics
2 answers:
zheka24 [161]3 years ago
7 0

Answer: B.  ΔMLZ

D.  ΔLMZ

E. ΔZML

Step-by-step explanation:

In the given picture we have one triangle with three vertices as

Vertex L

Vertex M

Vertex Z

To name a triangle we use the labels of the vertices of the triangle, which are commonly written in capital letters.

When we name a triangle, we can start with any vertex but we need to keep the letters in order as you go around the triangle.

Therefore, the possible names of the triangle are :-

ΔLMZ   Δ LZM    ΔMLZ    ΔMZL   ΔZLM    ΔZML

Roman55 [17]3 years ago
3 0
B, D, and E are all valid names for the triangle
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Step-by-step explanation:

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Trigonometry questions
trasher [3.6K]

We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.

11.

Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.

tan B = b/a

b = a tan B = 65.7 tan 28.9° = 36.3 m

12.

Similar story, boat at B, opposite b=3.5 m, rope c=12 m

sin B = b/c

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13.

c=124 m, A=58°

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14.

That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so

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15.

Not a right triangle, an isosceles triangle.  Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°.  We're after d=2b:

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Almost equilateral


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The surface area of the cube is 54 square feet. What is the length, in feet, of one edge of the cube?​
Brut [27]

Answer:

3 ft

Step-by-step explanation:

A cube is made of 6 equal faces each of which is a square with the same side length. The surface area of the cube is the surface area of one side multiplied by 6. We know the surface area is 54 so divide this by 6.

54/6 = 9 ft^2

Since the surface must be a square, take the square root of 9 which is 3 ft. The length of one edge of the cube is 3 ft.

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