How many unique triangles can be made where one angle 60° and another angle is an obtuse angle?

Answers

Answer 1

Answer: That set of requirements narrows it down to only
an infinite number of possible unique triangles.

-- One angle is 60°. That leaves 120° for the sum of the other two.

-- One angle is obtuse. It can be anything more than 90°
and less than 120°.

-- And the third angle gets whatever is left.

-- If you don't mind fractional or decimal parts of degrees, then we
already have an infinite number of possible combinations of angles.
_____________________________________

Every possible combination of angles defines a unique set of
RATIOs among the sides.

But for EVERY unique set of RATIOs, there are an infinite number of possible unique triangles that are SIMILAR to each other.

Example:

If the angles determine that the sides must be in the ratio of 1:2:3,
then the triangle can have sides of

1, 2, and 3
2, 4, and 6
3, 6, and 9
4, 8, and 12
5, 10, and 15
6, 12, and 18
7, 14, and 21
8, 16, and 24
9, 18, and 27
10, 20, and 30
.
.
etc.

These all have the SAME set of ANGLES, and the same RATIO
among the sides, but they're all different unique triangles.

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Marti's cat weight 12.37 pounds what is the word form for the value of the 7 in 12 37

Answers

Th word form for the value of the 7 in 12.37 is the hundreths place

The value of the 7 in 12.37 is Hundreths place. That is the word form of the value of 7 in 12.37

Find the value for θ.sinθ=cos(θ−18.5)
Question 6 options:

35.75°

71.5°

54.25°

161.5°

Answers

Answer:

$\theta=54.25\°$

Step-by-step explanation:

we know that

When the sine of angle X is equal to the cosine of angle Y, then angle X and angle Y are complementary angles

$X+Y=90\°$ ----> equation A

In this problem

$X=\theta$

$Y=(\theta-18.5)$

substitute in the equation A

$\theta\°+(\theta-18.5)\°=90\°$

$2\theta=90+18.5$

$2\theta=108.5$

$\theta=54.25\°$

How do i round 8.61 to the nearest tenth?

Answers

its 8.7 because 1 is lower than 6 so you add 7.

Hello,

8.61 rounded to the nearest tenth is 9.

Have A Good Day.

True or false:x/3 is equivalent to 1/3x.explain your reasoning.

Answers

Yes, both the expressions are equivalent.

What is an expression?

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation. This maths operation can be addition, subtraction, multiplication, or division.

Given that, x/3 is equivalent to 1/3x, yes or not?

So, we can write x/3 as

1/3×x

= x/3

Since, either you multiply by 1/3 or divide by 3 both are same thing,

1/3×x = x/3 = 0.333x

for example; 4÷2 = 2 or 4×1/2 = 2, in both case the answer is same, that means the expression given are also equal.

Hence, we can conclude both the expressions are equivalent.

For more references on expressions, click;

brainly.com/question/14083225

#SPJ2

that is true because you are still dividing x by three either way