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VladimirAG [237]
3 years ago
10

What is the measure of env (5x+57)degrees

Mathematics
1 answer:
SashulF [63]3 years ago
6 0

Answer:

D) 132°

Step-by-step explanation:

8x+12=5x+57    subtract 5x from both sides

3x+12=57           subtract 12 from both sides

3x= 45                divide by 3 from both sides

X=15

5(15)+57=132°

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A box contains three plain pencils and 5 pens. A second box contains three colored pencils and three crayons. One item from each
worty [1.4K]

Answer:

Therefore the probability that a pen from the first box and a crayon from the second box are selected is \frac5{16}

Step-by-step explanation:

Probability:

The ratio of the number of favorable outcomes to the number all possible outcomes of the event.

Probability=\frac{\textrm{The number favorable outcomes}}{\textrm{The number all possible}}

Given that,

Three plain pencils and 5 pens are contained by the first box.

Total number of pens and pencils is =(3+5)=8

The probability that a pen is selected from the first box is

=P(A)

=\frac{\textrm{The number pens}}{\textrm{Total number of pens and pencils}}

=\frac{5}{8}

A second box contains three colored pencils and three crayons.

Total number of pencils and crayons is =(3+3)=6

The probability that a crayon is selected from the second box is

=P(B)

=\frac{\textrm{The number of crayon}}{\textrm{Total number of crayons and pencils}}

=\frac{3}{6}

Since both events are mutually independent.

The required probability is multiple of the events

Therefore the required probability is

=\frac58\times \frac36

=\frac5{16}

4 0
3 years ago
Mrs Alivia’s bathroom is in the shape of a rectangle with a width of 6 feet. Her kitchen is in the shape of a rectangle with a w
Vedmedyk [2.9K]

Answer:

1. The length of the bathroom is equal to its width.  FALSE

2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.

TRUE

3. The legend of the bathroom is 11.5 feet.  FALSE

4. The equation 2 x+6=29 can be used to find the length of bathroom, x.

FALSE

5. The length of the bathroom is 8.5 feet. TRUE

Step-by-step explanation:

Here, given:

The width of the bathroom = 6 feet

The width of the kitchen = 10.75 ft

The perimeter of the bathroom = 29 feet

Let us assume the length of the bathroom =  k units

PERIMETER OF A RECTANGLE = 2 ( LENGTH + WIDTH)

Now, for the Mrs Avila's bathroom

29 feet  = 2 (k + 6)

⇒ 29  = 2k + 12

or, 2 k =  29 - 12 = 17

⇒ k = 17/2  = 8.5 feet

So, the length of the bathroom = 8.5 units

Now, let us consider the given statements:

1. The length of the bathroom is equal to its width.  FALSE

As here, Length= 8.5 units and width =   6 units

2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.

TRUE

3. The legend of the bathroom is 11.5 feet.

FALSE, the length of the bathroom is 8.5 units.

4. The equation 2 x+6=29 can be used to find the length of bathroom, x.

FALSE, the correct equation that can be used is  2x + 12  = 29

5. The length of the bathroom is 8.5 feet.

TRUE

5 0
4 years ago
What are the coordinates of the image of the point (4, 2) after a dilation with a center of (0, 0) and a scale factor of 2? A. (
frez [133]

Answer:

Option D (8,4)

Step-by-step explanation:

we know that

The dilation centered at the origin  (0,0) is very simple. To find out the image point multiply the scale factor to the x  and  y-coordinates of the pre-image point.

so

(2*4,2*2) -----> (8,4)

8 0
4 years ago
You plan to take a 1287-mile trip in your car, which averages 22 miles per gallon.
Sidana [21]

Answer:

TERO BAU KO TAUKO MULA JEPAITE SODCHOS

3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Chuge%5Cfbox%5Cpurple%7BQuestion%7D" id="TexFormula1" title="\huge\fbox\purple{Question}" al
ICE Princess25 [194]

The LCM of the given numbers have been determined.

<h3>What is LCM ?</h3>

LCM stands for Least Common Multiple .

For two numbers , LCM is the number that is the smallest number of which they both are a factor.

It is asked to determine

LCM of 6 and 9

6 = { 6 , 12 , 18 , 24 , 30 , 36 , 42 .....}

9 = { 9 , 18 ,27 .....}

The LCM of 6 , 9 is 18

LCM of 8 and 12

8 = { 8,16,24,32....}

12 = {12 , 24 ,36....}

The LCM of 8 and 12 is 24

LCM of 4 , 6 and 8

4 = {4 , 8 , 12 , 16 , 20,24,28 ....}

6 = { 6 ,12 ,18,24......}

8 = {8 , 16,24 .....}

The LCM of 4,6 and 8  is 24

The LCM of 6 and 15 is 30  

The LCM of 20 and 30 is  60

The LCM of 25,30 and 75 is 150

The image of the solution is attached .

To know more about LCM

brainly.com/question/20739723

#SPJ1

6 0
2 years ago
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