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2 years ago

Please help this is due in 31 minutes

Mathematics

1 answer:

kozerog [31]2 years ago

5 0

Answer:

X=45

Step-by-step explanation:

You see the congruency markings use B.A.T to determine that the unmarked angle is x, therefore 4x=180 and x=45

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Amanda uses a rectangular canvas for a panting. The length is 6x-3 centimeters The width is 2x+6 centimeters,and is 4/5of the le

julia-pushkina [17]

Answer:

15 cm by 12 cm.

Step-by-step explanation:

Given:

Amanda uses a rectangular canvas for a panting.

The length is $6x-3$ centimeters.

The width is $2x+6$ centimeters, and is 4/5 of the length .

Question asked:

.What are the dimensions of the canvas ?

Solution:

As given that the width is $\frac{4}{5}$ of the length.

$2x+6=\frac{4}{5} (6x-3)\\ \\ 2x+6=\frac{4}{5}\times6x-\frac{4}{5}\times3\\ \\ 2x+6=\frac{24x}{5} -\frac{12}{5} \\ \\$

Adding both sides by $\frac{12}{5}$

$2x+6+\frac{12}{5} =\frac{24x}{5} -\frac{12}{5}+\frac{12}{5}\\ \\ 2x+\frac{42}{5} =\frac{24x}{5}$

Subtracting both sides by $2x$

$2x-2x+\frac{42}{5} =\frac{24x}{5} -2x\\ \\ \frac{42}{5} =\frac{24x-10x}{5} \\ \\ \frac{42}{5} =\frac{14x}{5} \\ \\$

By cross multiplication:-

$5\times14x=5\times42\\ \\ 70x=210\\ \\$

By diving both sides by 70

$x=3$

Now, substituting the value:-

The length = $6x-3$ cm

= $6\times3-3=18-3=15\ cm$

The width = $2x+6$ cm

= $2\times3+6=6+6=12\ cm$

Thus, length and width of canvas are 15 cm and 12 cm.

7 0

3 years ago

A small can of soup has a mass of about 400 g. What would its mass be on the moon?

choli [55]

It is 66.14g

Moon= (Weight on Earth/9.81m/s2) * 1.622m/s2

5 0

3 years ago

3w - 11 = 25 can someone answer this plz

adoni [48]

Answer:

w = 12

Step-by-step explanation:

3w = 11 + 25

3w = 36

w = 12

Hope that helps!

3 0

2 years ago

Read 2 more answers

In Ryan coorporation the first shift produced 5 1/2 times as many lightbulbs as the second shift. if the total lightul.bs produc

dimaraw [331]

Answer:

first shift: 13,750 bulbs
second shift: 2500 bulbs

Step-by-step explanation:

The production ratio is ...

shift 1 : shift 2 = 5.5 : 1 = 11 : 2

so, the production on shift 1 as a ratio to the total is ...

shift 1 : total = 11 : (11+2) = 11 : 13

The first shift produced ...

(11/13)(16,250 bulbs) = 13,750 bulbs . . . . first shift

and the second shift produced ...

(2/13)(16,250 bulbs) = 2,500 bulbs . . . . second shift

_____

Of course, once you have one of the numbers, you can also find the other by using the 5.5 factor or by subtracting from total production.

3 0

3 years ago

The number of pies sold by the Chipper Bakery is 3/4 of the number of cookies sold by the Yummy Cookie Company. If both the busi

Mariulka [41]

Answer:

Number of cookies sold by the Yummy Company = 32.

Step-by-step explanation:

Let the number of cookies sold by the yummy company be x.

Then the number of pies sold by The Chipper Bakery is 3/4 x.

When they have 16, more we have:

Number sold by the Yummy company is x + 16 and the number sold by the Bakery is 5/6 (x + 16)

So x + 3/4x + 2(16) = x + 16 + 5/6(x + 16)

= 7/4 x + 32 = 11/6 x + 16 + 80/6

7/4 x - 11/6x = 16 + 80/6 - 32

-1/12 x = -2 2/3

x = -8/3 * -12

x = 32.

5 0

3 years ago