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zysi [14]
4 years ago
11

What is the perimeter of the triangle?​please include explanation as well

Mathematics
1 answer:
iren [92.7K]4 years ago
6 0

Answer:

44

Step-by-step explanation:

You need a theorem to solve this problem.

<em>Theorem:</em>

<em>Tangent segments drawn to a circle from a point are congruent.</em>

Look at the point below the circle. The segment from that point to point P (length 4), and the segment from that point to point R are congruent according to the theorem above.

Do the same with the other segments. On the left side, both tangent segments have length 12. On the right side, both tangent segments have length 6.

perimeter = 4 + 4 + 12 + 12 + 6 + 6

perimeter = 44

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zavuch27 [327]

Answer:

Option (6). HL

Step-by-step explanation:

Given:

From the right triangles ΔBAC and ΔBDC,

AC ≅ CD

∠A = ∠D = 90°

To Prove:

ΔBAC ≅ ΔBDC

            Statements                       Reasons

1). AC ≅ DC                        1). Given

2). BC ≅ BC                       2). Reflexive property

3). ΔABC ≅ ΔBDC            3). By HL property of congruence of right triangles

Therefore, Option (6) HL will be the correct option.                              

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4 years ago
Combine the like terms to create an equivalent expression: \large{-k-(-8k)}−k−(−8k)minus, k, minus, (, minus, 8, k, )
PIT_PIT [208]

Answer:

7k

Step-by-step explanation:

The given expression is

-k-(-8k)

We need to find the simplified form of the given expression.

Like terms: The terms which have same variables of same degree and known as like terms. For example: 2x and 4x are like terms.

The given expression can be rewritten as

-k+8k

On combining like terms we get

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Therefore, the equivalent expression of the given expression is 7k.

3 0
4 years ago
S $1,595 deposit for 10 years at a simple interest rate of 8%
o-na [289]

Answer:

$2,871.00

Step-by-step explanation:

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

A = 1595(1 + (0.08 × 10)) = 2871

A = $2,871.00

The total amount accrued, principal plus interest, from simple interest on a principal of $1,595.00 at a rate of 8% per year for 10 years is $2,871.00.

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