The value of x is 44°.
Step-by-step explanation:
Step 1:
The sum of the angles in a triangle is equal to 180°.
The sum of the angles along a straight line is 180°.
The two given angles of the triangle are 14° and 30°.
Assume the third angle is a.
The sum of 14°, 30° and a is 180°.
So the third angle of the triangle is 136°.
Step 2:
The sum of the angles along a straight line is 180°.
The sum of the angle of the triangle, 136° and x is 180°.
So x measures 44°.
Answer:
Step-by-step explanation:
Given function,
Step 1 : Replace g(x) by y:
Step 2 : Swap x and y:
Step 3 : Solve the equation for y ( isolate y in the left side ):
Step 4: Replace y by :
Hence, the inverse of the function g(x) is .
Answer:
252 inches
Step-by-step explanation:
Step 1:finding the area of triangle
b*h*1/2=3*4*1/2 but since there are two right angles in a triangular prism because of the two sides then its just 3*4 which is 12.
Step 2:finding the perimeter of the right angle
so 3,4 and 5 are known to be part of the right angle sp that means 3+4+5=12
Step 3:multiplying the height and perimeter of the triangular prism
20*12=240
Step 4;(A.K.A the final step)Adding the remaining numbers together.
240+12=252 inches
Answer:
$27 000
Step-by-step explanation:
15 000*30*6÷100
=$27 000
Answer:
Option A is correct
(–5, –28)
Step-by-step explanation:
For a quadratic equation:
We know that convert of quadratic into vertex form, using the method of completing the square is,
where,
(h, k) is the vertex.
As per the statement:
The function
written in vertex form is:
From the above definition we have;
h = -5 and k = -28
Therefore, the coordinates of the vertex is, (-5, -28)