The value of x in the given equation 
is 0.03
<u>Step-by-step explanation:</u>
The given equation is that
<u>The steps to be followed to solve the equation are :</u>
Add the like terms together to reduce the equation in a simplified form.
Here, there are two x terms and they must be reduced to a single term.
For this, add the both terms together so that the equation is simplified into one x term and a constant term.
⇒ 
⇒ 
To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.
⇒ 
⇒ 
Now, the equation is further simplified by dividing 4.15 on both sides,
⇒ 
⇒ 
Therefore, the value of x is 0.03
we know that
The sum of the internal angles in the triangle must be 
degrees
see the attached figure with letters to better understand the problem
Step 
<u>Find the measure of the angle x</u>
In the triangle ABC
solve for x
therefore
<u>the answer Part a) is</u>
the measure of angle x is 
Step 
<u>Find the measure of the angle z</u>
we know that
--------> by supplementary angles
substitute the value of x
therefore
<u>the answer Part b) is</u>
the measure of angle z is 
Step 
<u>Find the measure of the angle y</u>
In the triangle ACD
solve for y
therefore
<u>the answer Part c) is</u>
the measure of angle y is 
The solution is false!
3.1 would become a fraction that will be calculated back into a decimal by the 4th power making it 92.3521=3,600.. so the equality is false because the left hand and the right hand side are different.
Let "a", "b" and "с" be sides of the triangle ("с" is the longest side). The triangle will be:
right if a² + b² = c²
аcute if a² + b² > c²
obtuse if a² + b² < c²
We have a=10, b=14 and c=18
a² + b² = 10² + 14² = 100 + 196 = 296
and
c² = 18² = 324
296 < 324 ⇒ obtuse triangle.
Answer:
A
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Here g(x) is the graph of f(x) = x² shifted 4 units to the left, hence
g(x) = (x + 4)² → A
