The answer to 7(-3)-6 is -27
Answer:
360in²
Step-by-step explanation:
From the question,
L= Length = 9in
W= Width = 40in
Since, the base of rectangular prism is the same with Area of a rectangle. Then,
base of rectangular prism = ( Length × Width)
Then, Area of the base =( Lenght × Width)= ( 9 × 40)
= 360in²
Hence, area of the base of the cabinet = 360in²
One shaded triangle has a base of 4.5 ft and a height of 9 ft, so its area is 0.5 * 4.5 * 9 = 20.25.
There are two such triangles, so the area of the shaded region is 40.5.
The equation in slope intercept form is 
Explanation:
The given pair of points are
and 
The slope can be determined using the formula,

Substituting the points
and
in the slope formula, we have,



The equation in slope intercept form can be determined using the formula,

Substituting
and the point
in the above formula, we get,




Thus, the equation in slope intercept form is 
For given parallelogram, the value of x = 114° and y = 66°
<h3>Explanation: </h3>
<em>(Refer figure)</em>
Given quadrilateral ABCD is a parallelogram.
m∠A = 66°
m∠B = x°
m∠C = y°
m∠D = 114°
Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.
Opposite angles of a parallelogram are congruent ...........................(1)
Consecutive angles of a parallelogram are supplementary ................(2)
Using (1) for given parallelogram ABCD; we get,
m∠B = m∠D
m∠A = m∠C
Therefore x = 114° and y = 66°.
Using (2) to check whether the two consecutive angles are supplementary.
( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°