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3 years ago

M∠A = 75 + 5x

Mathematics

1 answer:

Firlakuza [10]3 years ago

6 0

Answer:

See below

Step-by-step explanation:

For a parallelogram m < A = m < C so:-

75 + 5x = 87 + 3x

2x = 12

x = 6

and m< A = 75 + 30 = 105

and m < C = 87 + 18 = 105

Now if the other 2 angles are = 75 degrees( that is the same side angles add up to 180 degrees) we have proved that it is a parallelogram.

m < B = m < D

111 - 6x = 39 + 6x

-12x = -72

x = 6

m < B = 111 - 36 = 75 and m < D = 39 + 36 = 75

So this has been proved.

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Ugo [173]

Answer:

Step-by-step explanation:

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Sin80° = 21/y

ysin80° = 21

y = 21/sin80°

y = 21.3

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4 years ago

An insurance agent receives 16% commission on every premium paid. How much commission is paid on a policy with a premium of $497

ollegr [7]

Here we are given the information that an insurance agent receives 16% commission on every premium paid.

Now we are given that a premium of $497.69 is paid.

Let us say $x is the commission paid on the policy with a premium of $497.69.

Let us try to find the amount x here.

So we have to find 16% of 497.69 to get the commission amount x.

So finding 16% of 497.69.

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3 years ago

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A process for manufacturing an electronic component yields items of which 1% are defective. A quality control plan is to select

Ad libitum [116K]

Answer:

0.3830,0.6170

Step-by-step explanation:

Given that a process for manufacturing an electronic component yields items of which 1% are defective.

n =100 and p = 0.01

Here X no of defectives is binomial since independence and two outcomes.

Approximation to normal would be

X is N( $100(0.01) , \sqrt{100(0.01)(0.99)} )$

X is N(1,0.995)

a) the probability that the process continues given the sampling plan described

= $P(X=0)$

(with continuity correction)

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3 years ago

I'll make you brainlist if you answer correctly

pantera1 [17]

Answer:

Value of x = 3 in the given AP sequence.

Fourth term in the sequence is 19.

Step-by-step explanation:

Here, the given sequence is x+4, 2x+5, and 4x+3

So, the First term a = x + 4

Second Term b = 2x + 5

Third Term = 4x + 3

Now, as the given sequence is in AP.

⇒ b-a = c -b = Common Difference

⇒( 2x+5) - (x+4) = (4x+3) - (2x+5)

or, 2x + 5 - x - 4 = 4x + 3 - 2x -5

or, x + 1 = 2x - 2

or, -x = -3, or x = 3

So, the value of x = 3 in the given AP sequence.

⇒ First term = 3+ 4 = 7

⇒ Second term = 2(3) + 5 = 11

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3 years ago

Solve for y using Proportion.

svp [43]

Answer:

The answer would be A) 0

Step-by-step explanation:

In order to find this, cross multiply to solve.

y/p-q = y/p+q

y(p + q) = y(p - q)

yp + yq = yp - yq -----> Subtract yp from both sides

yq = -yq -----> Add yq to both sides

2yq = 0 ------> divide by 2q

y = 0

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4 years ago

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