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3 years ago

Classify the triangle based on angle measures.

Mathematics

1 answer:

ki77a [65]3 years ago

7 0

Let's name these angles.

∠ A = 72°

∠ B = 54°

∠ C = 54°

Now, in this triangle, two angles, i.e., ∠ B and ∠ C are same.

According to the properties of triangle, sides opposite to two equal angles in a triangle are also equal, which means the two sides opposite to 54° in the figure will be equal.

=> AB = AC

Now, if there are two equal sides in a triangle then the triangle is called Isosceles Triangle.

So, the above triangle is an Isosceles Triangle.

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How do you find the altitude of an obtuse scalene triangle

hodyreva [135]

Altitude is a perpendicular
from
a vertex ( the point where the two rays meet to form an angle)
to
a line containing the base ( could be the base or an extension of it)

5 0

3 years ago

For the following problem, match the name of the number property that was used to get to each step from the previous step.

madam [21]

Answer:

1) Given, 2) Inverse property of addition, 3) Commutative property/Identity property of addition, 4) Inverse property of multiplication, 5) Identity property of multiplication/Result.

Step-by-step explanation:

In this exercise we present what real number properties are used in each step of the given procedure with its respective explanations:

1) $37\cdot 2\cdot \left[(-5)+5+\frac{1}{2} \right]$ Given

2) $37\cdot 2\cdot \left(0+\frac{1}{2} \right)$ Inverse property of addition

The inverse property of addition states that:

$u + v = 0$ , $\forall \,u, v \in \mathbb{R}$

$v = -u$

3) $37\cdot 2 \cdot \left(\frac{1}{2} \right)$ Commutative property/Identity property of addition

The commutative property of real numbers states that:

$u+v = v+u$ , $\forall \,u,v\in\mathbb{R}$

The identity property of addition of real numbers states that:

$u+ 0 = u$ , $\forall \,u\in\mathbb{R}$

4) $37\cdot 1$ Inverse property of multiplication.

The inverse property of real numbers states that:

$u\cdot v = 1$ , $\forall\,u,v \in \mathbb{R}$

$v = u^{-1} = \frac{1}{u}$

5) $37$ Identity property of multiplication/Result.

The identity property of multiplication of real numbers states that:

$u\cdot 1 = u$ , $\forall \,u\in \mathbb{R}$

5 0

3 years ago

Which two of the objects shown below could we slice perpendicular to their bases/faces to creat triangle cross sections?

strojnjashka [21]

The answer is: a pyramid

5 0

3 years ago

Read 2 more answers

A handbag contains five coins, four keys,

Dmitry [639]

The expected number of mints taken out of the handbag = 0.94

For given question,

We have been given that a handbag contains five coins, four keys,

and eight mints.

Total number of items in the handbag would be,

= 5 coins + 4 keys + 8 mints

= 17 items

So, the total number of items in a handbag = 17

Here, two items are taken out of the handbag one after the other and not replaced.

We need to find the expected number of mints taken out of the handbag.

Number of items taken out = 2

Let x be the number of mints taken out of the handbag.

x can be 0, 1, or 2

For x = 0,

the two items taken out could be either coins or keys.

no. of coins + no. of keys = 9

So, the 1st pick = 9/17

and 2nd pick = 8/16

⇒ P(x = 0) = 9/17 × 8/16

⇒ P(x = 0) = 72/272

For x = 1,

Assume that in the 1st pick mint is taken out.

So, 1st pick = 8/17

For second pick, it can be either coin or key.

This means, there are two possibilities for the second pick.

so, 2nd pick = 2 × 9/16

⇒ P(x = 1) = 8/17 × 9/16 × 2

⇒ P(x = 1) = 144/272

For x = 2,

1st pick = 8/17

2nd pick = 7/16

⇒ P(x = 2) = 8/17 × 7/16

⇒ P(x = 2) = 56/272

So, the expected number of mints taken out of the handbag would be,

= 0 × 72/272 + 1 × 144/272 + 2 × 56/272

= 0.94

Therefore, the expected number of mints taken out of the handbag = 0.94

Learn more about the probability here:

brainly.com/question/3679442

#SPJ4

5 0

2 years ago

4/5 ÷ 5/6 i don't know the answer pls help me you will get free rabax

kow [346]

Answer:

24/25

Step-by-step explanation:

I use the keep change flip method.

Keep the first fraction the same (leave it alone)

4/5 ÷ 5/6

Change the symbol from ÷ to ×

4/5 × 5/6

Flip the fraction (write its reciprocal)

4/5 × 6/5

Multiply across

6 0

3 years ago