Answer:
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be 
.
In any triangle, the Law of Sines is given by 
.
Therefore, we have:
Answer:
value of x = 5.8 mm
Step-by-step explanation:
We have given,
Two right triangles EDH and EDG.
In right triangle EDH, EH = 56mm , DH = 35 mm
Using Pythagoras theorem we can find ED.
i.e EH² = ED²+DH²
56²=ED²+35²
ED²=56²-35²
ED = √(56²-35²) = 7√39 = 43.71 mm
Now, Consider right triangle EDG
Here, EG=44.8mm , GD = x+4 and ED = 7√39
Again using Pythagoras theorem,
EG² = ED² + DG²
44.8²= (7√39)²+ (x+4)²
(x+4)² = 44.8² - (7√39)²
x+4 = √(44.8² - (7√39)²)
x+4 = 9.8
or x = 9.8 - 4 = 5.8 mm
Hence we got the value of x = 5.8 mm
Answer:
<u>For this equation the value of x is - 2/3</u>
Step-by-step explanation:
1. Resolving the equation 2/3-4x+7/2=-9x+5/6
-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)
5x = (5/6 - 4/6 -21/6)
5x = -20/6
x = - 20/6 /5 (Dividing by 5 at both sides)
x = -20/6 * 1/5
<u>x = -4/6 = - 2/3 (Simplifying)</u>
2. Proof of replacing x by -2/3
2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6
2/3 + 8/3 + 7/2 = 18/3 + 5/6
10/3 + 7/2 = 6 + 5/6
20 + 21 = 36 + 5 (Multiplying by 6 at both sides)
41 = 41
<u>It means the value of -2/3 for x is correct</u>
Note: Same answer than 13866851
Answer:
x²+14x+24 = (x+2)(x+12)
Step-by-step explanation:
We need to factorize the given expression i.e. x²+14x+24.
We find two integers such that their sum is 14 and product is 24.
x²+14x+24 = x²+12x+2x+24
=x(x+12)+2(x+12)
= (x+2)(x+12)
Hence, the factors of the given expression is (x+2)(x+12).
Answer:
x = 2.
Step-by-step explanation:
(Brainliest?)
So log3(2x-1)+log3(x+7)=3 = log3(3^3) So (2x- 1)(x+7) = 27..... 2x^2+13x - 34 =0 (2x+17)(x - 2) = 0 ..so x = 2 or - 17/2. The solution x = - 17/2 is rejected since we cannot have log 3(2*- 17/2 - 1),a negative number. So the answer is x = 2.
