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2 years ago

Which statements are always true regarding the diagram?

Mathematics

2 answers:

Anton [14]2 years ago

4 0

Answer:

C) m∠5 + m∠6 =180°

D) m∠2 + m∠3 = m∠6

E) m∠2 + m∠3 + m∠5 = 180°

Step-by-step explanation:

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valkas [14]2 years ago

3 0

Answer:

The correct answer is 4th option

m<2 + m<3 = m<6

Step-by-step explanation:

From the figure we can see that, a triangle with its exterior angles.

We know that, the sum of any two angle of a triangle is equal to the measure of exterior angle of third angle.

Therefore the correct answer is 4th option.

m<2 + m<3 = m<6

Here <2 and <3 are two interior angle, and <6 is the exterior angle of <5

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What is the place value of 3 in 9. 365?

nikdorinn [45]

Answer:

It is in the tenths place

Step-by-step explanation:

In the number 9.365, 3 is in the tenths place.

8 0

1 year ago

Read 2 more answers

The owner of a manufacturing plant employs eighty people. As part of their personnel file, she asked each one to record to the n

wariber [46]

Answer:

Mean of the sample = 27.83

The variance of the the sample = 106.96

Standard deviation of the sample = 10.34

Step-by-step explanation:

Step(i):-

Given random sample of six employees

x 26 32 29 16 45 19

mean of the sample

$x^{-} = \frac{26+32+29+16+45+19}{6} = 27.83$

Mean of the given data = 27.83

Step(ii):-

Given data

x : 26 32 29 16 45 19

x - x⁻ : -1.83 4.17 1.17 -11.83 17.17 -8.83

(x - x⁻)² : 3.3489 17.3889 1.3689 139.9489 294.80 77.9689

∑ (x-x⁻)² = 534.8245

Given sample size 'n' =6

The variance of given data

S² = ∑(x-x⁻)² / n-1

$S^{2} = \frac{534.8245}{6-1} = 106.9649$

The variance of the given sample = 106.9649

Step(iii):-

Standard deviation of the given data

$S = \sqrt{variance} = \sqrt{106.9649} =10.3423$

Standard deviation of the sample = 10.3423

8 0

2 years ago

If 2x – 3 ≤ 5, what is the greatest possible value of 2x + 3 ? a.4 b.8 c.10 d.11

harina [27]

Answer:

Hope it is correct :) :)

8 0

2 years ago

The organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 e

ki77a [65]

Let s represent number of shirts and h represent number of hats.

We have been given that the organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 each and hats for $8 each.

The cost of s shirts would be $10s$ and cost of h hats would be $8h$ . The cost of s shirts and h hats should be less than or equal to 1800. We can represent this information in an inequality as:

$10s+8h\leq 1800$

We are also told that organizers plan to buy at least 5 times as many shirts as hats. This means that number of shirts should be greater than or equal to 5 times hats. We can represent this information in an inequality as:

$s\geq 5h$

Therefore, the second inequality should be $s\geq 5h$ and option C is the correct choice.

6 0

2 years ago

The cost of making a chair is $28 correct to the nearest dollar. Calculate the lower and upper bounds for the cost of making 450

Anna71 [15]

Answer:

$12,375

$12820.50

Step-by-step explanation:

To obtain a rounded value of $28 (to nearest dollar) the lowest and highest possible value before rounding will be : 27.50 and 28.49

Hence,

Lower bound = $27.50

Upper bound = $28.49

Therefore. Cost of making 450 chairs ;

27.50 * 450 = $12,375 (lower bound)

28.49 * 450 $12820.50 (upper bound)

3 0

1 year ago