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3 years ago

Complete the statement.Since angle B is the largest angle, is the side.

Mathematics

2 answers:

postnew [5]3 years ago

7 0

Answer:

∠B is the largest interior angle of the triangle, and AC is the largest side.

Step-by-step explanation:

Relationship of sides to interior angles in a triangle-

The shortest side of a triangle is always opposite to the smallest interior angle.
The longest side of a triangle is always opposite to the largest interior angle.

So converse of the second property is the side opposite to the largest interior angle is always the largest side.

As ∠B is the largest interior angle of the triangle, so its opposite side which is AC will be the largest side.

Serhud [2]3 years ago

5 0

Answer:

AC is the largest side

Step-by-step explanation:

The longest side of a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

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A building 86.31 feet tall has a shadow that is 89.19 feet long

zmey [24]

Answer:

Step-by-step explanation:

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3 0

3 years ago

Answer as many as possible please need work for brainilist

zysi [14]

Answer:

1. 18x + 35y = 598

x + y = 20

Isolate a variable in the second equation:

y = -x + 20

Plug y back into the first equation

18x + 35(-x + 20) = 598

18x - 35x + 700 = 598

-17x +700 = 598

-17x = -102

x = 6

You carpool 6 days of the 20

6 + y = 20

y = 14

You ride the bus 14 days of the 20

2. 4.50n + 3p = 252

p = 2n

Substitute p into the first equation

4.50n + 3(2n) = 252

4.50n + 6n = 252

10.5n = 252

n = 24

They sold 24 cans of nuts

p = 2(24)

p = 48

They sold 48 boxes of popcorn

The group sold, in total, 24 + 48 = 72 cans of nuts and boxes of popcorn.

3. x - y = 3

x + y = 8

Isolate a variable

x = y + 3

(y + 3) + y = 8

2y + 3 = 8

2y = 5

y = 2.5

The average speed with wind is 2.5 mph

x - 2.5 = 3

x = 5.5

The average speed without wind is 5.5mph

4. x + 8y = 22.8

x + 6y = 18.6

Isolate

x = -8y + 22.8

Substitute

(-8y + 22.8) + 6y = 18.6

-2y + 22.8 = 18.6

-2y = -4.2

y = -2.1

The gas costs $2.10 per gallon

x + 8(2.1) = 22.8

x + 16.8 = 22.8

x = 6

The cost of the car was is $6.

5. Cost = 9.99 + 2.49x

Cost = 20.49 + 1.79x

To find which one is better, we need to set them equal to each other at first.

9.99 + 2.49x = 20.49 + 1.79x

9.99 + 0.70x = 20.49

0.70x = 10.5

x = 15

So, they cost the same at 15 rentals.

To find which one is the better deal let's see how much both cost after 16 rentals.

Cost = 9.99 + 2.49(16)

= 49.83

Cost = 20.49 + 1.79(16)

= 49.13

Therefore, Main Street is the better deal because after the equilibrium Main Street costs less than Big Video.

6. x + y = 15

.25x + .05y = 2.75

Isolate

x = -y + 15

Solve

.25(-y + 15) + .05y = 2.75

-.25y + 3.75 + .05y = 2.75

-0.2y + 3.75 = 2.75

-0.2y = -1

y = 5

There are 5 nickels

x + 5 = 15

x = 10

There are 10 quarters

7. x + y = 26

x + .25y = 17

Isolate

x = -y + 26

Substitute

(-y + 26) + .25y = 17

-0.75y + 26 = 17

-0.75y = -9

y = 12

There are 12 quarters in his pocket

x + 12 = 26

x = 14

There are 14 dollars

I hope this helps!!

- Kay :)

6 0

3 years ago

The strength of paper used in the manufacturing of cardboard boxes (y) is related to percentage of hardwood concentration in the

Elena-2011 [213]

Answer:

At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.

P-value = 0.003.

Step-by-step explanation:

If we perform a regression analysis relating x and y, we get the best fitting line with equation:

$y=15.82x+92.9$

and a correlation coefficient r:

$r=0.693$

We have to test the hypothesis, where the alternative hypothesis claims that there is a relationship between these two variables, and the null hypothesis claiming there is no relationship (meaning that the correlation is not significantly different from 0).

This can be written as:

$H_0: \rho=0\\\\H_a:\rho\neq0$