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3 years ago

Geometry. Find the angle

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

7 0

Answer:

x = 10°; Angle A = 84°

Step-by-step explanation:

Angle A + Angle B = 180

5x + 34 + 2x + 76 = 180

7x + 110 = 180

7x = 70

x = 10

Angle A: 5(10) + 34 = 50 + 34 = 84°

Vikki [24]3 years ago

7 0

Answer:

Step-by-step explanation:

Because the two lines are parallel, the angles are supplementary. This means they will add up to 180 degrees.

So all you have to do is add the measures of the two angles to get 180.

5x+34+2x+76=180

(simplify)

7x+110=180

7x=70

x=10

Now all you have to do is plug this into the equation for <A

5(10)+34=?

50+34=?

84=84

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The larger of two consecutive integers is 7 greater than twice the smaller. Find the integers. ( 4, 5)( -8, -9)(-5, -6)

igor_vitrenko [27]

Answer:

(-5, -6)

Step-by-step explanation:

The smaller integer is x.

The larger integer is x + 1.

x + 1 = 7 + 2x

-x = 6

x = -6

x + 1 = -6 + 1 = -5

Answer: (-5, -6)

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1 year ago

: Solve the inequality and graph the solution. 3(x+5)>12

AleksandrR [38]

Answer:

3(x + 5) > 12

x + 5 > 12/3

x + 5 > 4

x > 4 - 5

x > -1

Graph - SEE ATTACHMENT

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3 years ago

A fast-food company is interested in knowing the probability of whether a customer viewed an advertisement for their new special

lord [1]

Answer:

45% probability that a randomly selected customer saw the advertisement on the internet or on television

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a customer saw the advertisement on the internet.

B is the probability that a customer saw the advertisement on television.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a customer saw the advertisement on the internet but not on television and $A \cap B$ is the probability that the customers saw the advertisement in both the internet and on television.

By the same logic, we have that:

$B = b + (A \cap B)$

12% saw it on both the internet and on television.

This means that $A \cap B = 0.12$

20% saw it on television

This means that $B = 0.2$

37% of customers saw the advertisement on the internet

This means that $A = 0.37$

What is the probability that a randomly selected customer saw the advertisement on the internet or on television

$A \cup B = A + B - (A \cap B) = 0.37 + 0.2 - 0.12 = 0.45$

45% probability that a randomly selected customer saw the advertisement on the internet or on television

6 0

3 years ago

Explain your answers please

nirvana33 [79]

First is 7 second is 8 third is 3

6 0

3 years ago

A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago