Answer:
x = 1/7
Step-by-step explanation:
23x - 15x = x-1
8x = x - 1
8x - x = 1
7x = 1
x = 1/7
Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
Step-by-step explanation:
step 1: how many dolphins
there are 6 sharks
sharks to dolphins is 3 to 5
3 S to 5 D
we can divide 6 (amount of sharks known) by 3, to get what a ratio of 1 is
6 ÷ 3 = 2
so 2 sharks is = 1 part or ratio
now we can times by 5 to get a ratio of 5
5 × 2 = 10
there are 10 Dolphins
Step 2: How many starfish
repeat the steps above but for the ratio 2: 7 where 2 is the Dolfin ratio and there are 10 dolphins
put in questions answer you got
Hey there! :)
6 = 1 - b
Like I mentioned in my previous answer, we must isolate our variable. In this case, our variable is b.
So, our first step is to subtract 1 from both sides.
6 - 1 = 1 - b - 1
Simplify.
5 = b
Therefore, b = 5
~hope I helped~
Answer:
M∠DEC equals 123º.
Step-by-step explanation:
The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.
180 - {(x - 45)+(x - 12)} = m∠DEC
m∠DEC + x = 180
<u>(x - 45) + (x - 12) = x</u>
Solving for x:
(x - 45) + (x - 12) = x
x - 45 + x - 12 = x Remove parenthesis
2x - 57 = x Combine like terms
2x = x + 57 Add 57 to both sides
<u>x = 57</u><u> Subtract x from both sides</u>
Finding m∠D:
x - 45 = ?
<u>57 - 45 = </u><u>12º </u>
Finding m∠C:
x - 12 = ?
<u>57 - 12 = </u><u>45º </u>
<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>
<em>Finding </em>m∠DEC:
AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:
180 - 57 = 123º
Hope this helps,
❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤