<h3>
Answer: approximately 6.3 miles</h3>
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Explanation:
See the diagram below. The two given angles B = 105 and C = 20 are used to help find angle A
A+B+C = 180
A+105+20 = 180
A+125 = 180
A = 180-125
A = 55
Then we use the law of sines to find the side length c
sin(A)/a = sin(C)/c
sin(55)/15 = sin(20)/c
c*sin(55) = 15*sin(20) ... cross multiply
c = 15*sin(20)/sin(55) .... divided both sides by sin(55)
c = 6.26294249724791 .... value is approximate
c = 6.3 ....... rounding to one decimal place
4(x + 7) = 38
Since there is no operation sign between the 4 and parenthesis, it makes it an automatic multiplication problem.
You would use distributive property to multiply each which should leave your equation looking like this afterwards:
4x + 28 = 38
(4 times x and 4 times 7)
You would then solve it like a two step equation,
1. +28 - 28 = 0
2. 38 - 28 = 10
4x = 10
10 divided by 4 = 2.5
x = 2.5
We can recheck our work by substituting in the value of x.
4(2.5 + 7) = 38
10 + 28 = 38
When we substituted in the value, it gave us the correct inequality.
Therefore,
x = 2.5
Answer:

Step-by-step explanation:
Let Kat reads k pages of the book.
Miguel reads 5 times as many pages of the book as Kat. So,
m = 5k ...(1)
Together they read 54 pages. i.e.
m+k = 54 ...(2)
From equation (1),

Hence, the equation that can be used to find how many pages Kat read is equal to
.
If $600=6 tons
$600=6*2000
$600=12,000
12000/$600=$20
It’s $20 per pound
Answer:
Step-by-step explanation:
True:
Any letter can be used as a variable (yes)
Variables are used for numbers that haven't been defined yet (maybe)
All the rest are false
Hope this helps!