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velikii [3]
2 years ago
10

Solve for x: 2(7x – 6) = 30

Mathematics
2 answers:
solong [7]2 years ago
7 0

Answer:

X=3

Step-by-step explanation:

2 times 7x = 14x

2 times -6 = -12

14x-12=30

(+12)

14x=42

(÷14)

X=3

sertanlavr [38]2 years ago
3 0

Answer: x = 3

Step-by-step explanation:

2(7x - 6) = 30

14x - 12 = 30

     + 12  +12

14x = 42

/14    /14

x = 3

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In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°. Find the length of k, to the nearest inch.\
s2008m [1.1K]

Given:

In  ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.

To find:

The length of k, to the nearest inch.

Solution:

According to Law of sine,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

In ΔKLM, using law of sine, we get

\dfrac{k}{\sin K}=\dfrac{l}{\sin L}

\dfrac{k}{\sin (55^\circ)}=\dfrac{48}{\sin (46^\circ)}

k=\dfrac{48\times \sin (55^\circ)}{\sin (46^\circ)}

On further simplification, we get

k=\dfrac{48\times 0.819152}{0.7193398}

k=\dfrac{39.319296}{0.7193398}

k=54.66025


Approximate the value to the nearest inch.

k\approx 55


Therefore, the length of k is 55 inch.

4 0
3 years ago
A home is to be built on a 56 foot 9 inch wide lot. The house is 5 feet 5 inches from the side of the lot and is 34 feet 10 inch
daser333 [38]
<span>Total lot - house -other side
=(56 ft 9 in) - (34 ft 10 in) - (5 ft 5 in)
=(55 ft 21 in) - (34 ft 10 in) - (5 ft 5 in)
=16 ft 6 in
Convert to inches: </span>16 ft x 12 in/ft)+ 6 in= Total in inches<span>192 in + 6 in= Total in inches
198 in= Total in inches 
Check: One side + house + other side = Lot width
(5 ft 5 in)+(34 ft 10 in)+(16 ft 6 in)=Lot width
56 ft 9 in=Lot width, which equals the given.</span>
8 0
3 years ago
I really need help rn T_T plz help me out!
pshichka [43]

Answers:

  • The lengths of sides PQ and RS are <u>   13   </u>
  • The lengths of sides QR and SP are <u>   </u><u>20  </u>

This is a 13 by 20 rectangle.

============================================================

Explanation:

Refer to the drawing below.

Let x be the length of side SP. Since we're dealing with a rectangle, the opposite side is the same length. Side QR is also x units long.

We're told that RS = SP - 7 which is the same as saying RS = x-7

We also know that PQ = x-7 as well because PQ is opposite side RS.

In short, we have these four sides in terms of x

  • PQ = x-7
  • QR = x
  • RS = x-7
  • SP = x

as shown in the drawing. The four sides add up to the perimeter of 66.

PQ+QR+RS+SP = perimeter

PQ+QR+RS+SP = 66

(x-7)+x+(x-7)+x = 66

4x-14 = 66

4x = 66+14

4x = 80

x = 80/4

x = 20

Use this x value to find the unknown side lengths.

  • PQ = x-7 = 20-7 = 13
  • QR = x = 20
  • RS = x-7 = 20-7 = 13
  • SP = x = 20

In short, this is a 13 by 20 rectangle.

-----------------

Check:

perimeter = side1+side2+side3+side4

perimeter = PQ+QR+RS+SP

perimeter = 13+20+13+20

perimeter = 33+33

perimeter = 66

The answer is confirmed.

4 0
2 years ago
221+ X equals 386 right and solve an addition equation to find how many trading cards are Levi’s
vova2212 [387]

Answer:

165 cards left

Step-by-step explanation:

x + 221 = 386

-221 from both sides

x = 165

5 0
3 years ago
The histogram below represents the high temperatures recorded each day over month period. Which of the following statements are
Kisachek [45]

Answer:

See possible solutions below.

Step-by-step explanation:

The statements are not given. But the following can be determined from the graph:

  • More days recorded temperatures between 82 and 84 then other temperatures.
  • The least number of days recorded temperatures between 88 and 90.
  • The histogram is skewed to the right also known as positive skewed distribution.
  • The mean and median will most likely be in the range of 82-84 temperatures. But the mean will be greater than the median.
4 0
3 years ago
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