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damaskus [11]
4 years ago
10

Will give brainliest plzzzzz.Which statement justifies why ∠EBC measures 90°? Given: angles ABD and DBC are complementary Point

B is on line AE between points A and E, point B is on line FD between points F and D, ray BC intersects with line AE at point B, line FD intersects with line AE at point B, the measure of angle ABD is 50 degrees, and it is given that angles ABD and DBC are complementary. A linear pair is two adjacent, supplementary angles. The sum of the measures of complementary angles is 90 degrees. If two angles are vertical angles, then they are congruent. Alternate interior angles are congruent.
Mathematics
1 answer:
Anettt [7]4 years ago
5 0

Answer:

he sum of the measures of two complementary angles is 90 degrees

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

In this problem we have that

m∠ABD and m∠DBC are complementary

so

m∠ABD + m∠DBC=90° -----> by complementary angles

and

(m∠ABD + m∠DBC)+m∠EBC=180° -----> by a linear pair

Find the measure of angle EBC

substitute the given values

(90°)+m∠EBC=180°

∠EBC=180°-90°=90°

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T(M) = .12 * M

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3 0
3 years ago
(b) 5.2m + 5 = 2.9m – 3 – 4.1m
ohaa [14]

Answer:

m =-1.25

Step-by-step explanation:

5.2m + 5 = 2.9m – 3 – 4.1m

Combine like terms

5.2m + 5 = -1.2m – 3

Add 1.2m to each side

5.2m +1.2m +5 = -1.2m +1.2m -3

6.4m +5 = -3

Subtract 5 from each side

6.4m +5-5 = -3-5

6.4m = -8

Divide each side

6.4m/6.4 = -8/6.4

m =-1.25

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3 years ago
What is the circumference and area of the circle
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3 years ago
The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,
professor190 [17]

Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Mean of 0.6 times a day

7 day week, so \mu = 7*0.6 = 4.2

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150

P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630

P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323

So

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

3 0
3 years ago
PLEASE HELP!<br>I'm confused..<br><br>Solve each equation for y.<br>please show work
8090 [49]

Answer:

  • b. y = 2/3x +5
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Step-by-step explanation:

b. The particualar steps for solving a linear equation such as this may vary from one equation to another. In general, you want to put all the y-terms on one side of the equal sign and everything else on the other side. Here's how we'll do that in this case.

Use the distributive property to eliminate parentheses.

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Find the unwanted terms on the side of the equation where y is, then add their opposite. In this case, we're adding -(6x+12)

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Divide by the coefficient of y.

... y = -2x/(-3) -15/(-3)

... y = 2/3x +5

____

c. This is a 2nd-degree (quadratic) equation with y as its only variable. The factor (2y+1) appears in both terms so we can use the distributive property to factor it out. Then the equation becomes ...

... (y +3)(2y +1) = 0

The zero product rule tells us this product will be zero only when one or the other of the factors is zero. This fact helps us find the values of y that are the solution to the equation.

For y+3 = 0:

... y + 3 = 0

... y = -3 . . . . . . add -3 to both sides of the equation

For 2y +1 = 0:

... 2y +1 = 0

... y +1/2 = 0 . . . . divide by 2

... y = -1/2 . . . . . . add -1/2

The solutions are y = -3 or y = -1/2.

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