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3 years ago

4. Your Turn: Find the measure of angle B. Enter only the number as your answer. *

Mathematics

1 answer:

enot [183]3 years ago

3 0

Interior angles of a triangle add up to 180 degrees

3x + 2 + 2x + 7 + 41 = 180
5x + 50 = 180
5x = 180 - 50
5x = 130
x = 130/5
x = 26

< A = 3x + 2......3(26) + 2 = 80
< B = 2x + 7......2(26) + 7 = 59
< C = 41
------------add
for a total of 180 (correct)

so ur < B = 59 <===

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A farmer was counting his chickens and pigs. He had 16 animals in all and counted 54 legs. How many chickens does he have

Vikentia [17]

Answer:

5 chickens

Step-by-step explanation:

Let's set chickens and pigs with variables "c" and "p" respectively.

We know there a 16 animals in all, so there are:

c+p=16

We know there are 54 legs and chickens have 2 legs and pigs have 4 legs each:

2c+4p=54

Now we have our system of equations:

c+p=16

2c+4p=54

We are trying to find the number of chickens, so we write the first equation in respect to c.

p=16-c

Substituting the first derived equation to equation two:

2c+64-4c=54

Simplifying:

64-2c=54

2c=10

c=5

So there are 5 chickens.

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3 years ago

A coyote is 60 meters away from a chicken and it can run 20 meters per second.

Dafna1 [17]

Answer: It will take it 3 seconds before getting to the chicken

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3 years ago

Please help its inequalities 2x < 6

Katyanochek1 [597]

$x < 3$
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3 years ago

A manufacturing firm just received a shipment of 20 assembly parts, of slightly varied sizes, from a vendor. The manager knows t

Marat540 [252]

Answer:

a. 0.75

b. 0.5526

c. 0.1974

Step-by-step explanation:

Probability is typically expressed as a fraction where the numerator is the number of desired outcomes and the denominator is the total number of outcomes. In this case the suitable parts is the desired outcome and the total shipment is the total parts:

$\frac{suitable}{total}=\frac{15}{20}=\frac{3}{4}=0.75$

The probability the both the first and second part are suitable:

$\frac{15}{20}*\frac{14}{19}=\frac{210}{380}=0.5526$

Since the probability of getting a suitable part the first time is 15/20, then there is one less suitable part and one less part overall to choose on the second time, or 14/19.

Lastly, the probability of choosing a suitable part the first time is again 15/20, but the second part not being suitable would be 5/19:

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3 years ago

-6( - 3y - 6) - 10(6y - 8)

AnnyKZ [126]

Answer:

-2(21y-58)

Step-by-step explanation:

1.) Factor out -2 from the expression

2.)Distribute the three through the parenthesis

3.)distribute 5

4.)add the y’a together

5.)subtract -18-40

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3 years ago