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3 years ago

Find the measure of angle B.

Mathematics

2 answers:

olga55 [171]3 years ago

7 0

Answer:

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 7, thus

sum = 180° × 5 = 900°

Sum the interior angles and equate to 900

12x - 9 + 9x + 14 + 133 +10x +9 + 10x + 136 +10x + 5 = 900, that is

51x + 288 = 900 ( subtract 288 from both sides )

51x = 612 ( divide both sides by 51 )

x = 12

Hence

∠B = 9x + 14 = (9 × 12) + 14 = 108 + 14 = 122° → D

Elza [17]3 years ago

3 0

Answer:

The measure of angle B is 122° ⇒ answer D

Step-by-step explanation:

* Lets explain how to solve the problem

- The sum of interior angles of any polygon can found by using this

rule (n - 2) × 180° , where n is the number of the sides or angles

of the polygon

∵ ABCDEFG is a polygon of 7 sides

∴ The sum of the measures of the interior angles = (7 - 2) × 180°

∴ The sum of the measures of the interior angles = 900°

∵ m∠A = 12x - 9 , m∠B = 9x + 14 , m∠C = 133° , m∠D = 10x + 9

∵ m∠E = 10x , m∠F = 136° , m∠G = 10x + 5

∵ The sum of all angles = 900°

∴ 12x - 9 + 9x + 14 + 133 + 10x + 9 + 10x + 136 + 10x + 5 = 900

∴ 51x + 288 = 900

- Subtract 288 from both sides

∴ 51x = 612

- Divide both sides by 51

∴ x = 12

∵ m∠B = 9x + 14

∵ x = 12

∴ m∠B = 9(12) + 14 = 122°

* The measure of angle B is 122°

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What two partial products would you add to find 513 x 46

Afina-wow [57]

First, let me do the Mathematical part of that, and then I shall explain the theory behind it.

Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.

Multiply 513 with 6 first.

  513
x46
--------------------------
  18 (as 6*3 = 18)
  60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
  3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
  120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
  400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)

Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.

Check: If we check the multiplication result by using the calculator, we would get the same result (23598).

Another Method (instant):
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And or both means we multiply the given probability situations that are mutually exclusive and exhaustive - they cannot occur at the same time.

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hope it's clear

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3 years ago

HELPP

Anvisha [2.4K]

Answer:

the first one

Step-by-step explanation:

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