Answer:
m∠W = 125°
m∠X = 55°
m∠Z = 55°
Step-by-step explanation:
The explanation of angle measures is shown below:-
The shape which is parallelogram WXYZ. m∠Y = 125
A parallelogram represents the shape of quadrilateral in which both opposite sides and opposite angles are similar to each other. One parallelogram diagonals bisect each other. Consecutive angles are also supplementary to a parallelogram.
In WXYZ parallelogram is there
m∠Z + m∠Y = 180° is an angle of Consecutive in a parallelogram is supplementary
m ∠ Z + 125 = 180
m ∠ Z = 180 - 125
m ∠ Z = 55°
m ∠ W which equals to m∠Y where equal angles are Opposite
m∠W = 125°
m ∠ W + m ∠ X = 180°
which is the angle of Consecutive in a parallelogram called supplementary)
m ∠ X + 125 = 180
m ∠ X = 180 - 125
After solving the above equation we will get
m ∠ X = 55°
Answer:
is the correct answer.
Step-by-step explanation:
We are given a right angled
with the side measurements as:
AB = 6
AC = 3
BC = 3
In a right angled triangle, the angle of
is the <em>largest angle and the side opposite to the right angle is the largest.</em>
We are given that the side BC = 3
which has a value greater than 6 which means side BC is the largest side.
And angle opposite to BC is
is the largest i.e.

Please refer to the attached image for the given dimensions of the triangle.
Now, we can apply trigonometric rules to easily find out the value of 

Answer:
Part 1) The area of the structure is 
Part 2) The slab will contain
of cement
Step-by-step explanation:
Part 1) Find the area of the structure
we know that
The area of the structure is equal to the area of rectangle plus the area of semicircle
<u><em>Find the area of rectangle</em></u>
The area of rectangle is equal to

we have


substitute


<u><em>Find the area of semicircle</em></u>
The area of semicircle is

we have


substitute


<u><em>Find the area of the structure</em></u>
Adds the areas

Part 2) If the structure is 6 in thick, how many cubic feet of cement will the slab contain?
Remember that

Convert inches to feet

<u><em>Find the volume of the structure</em></u>
To obtain the volume , multiply the area by 0.5 ft (thick)
so

Answer:
I think 48, since it's an equilateral triangle.
Step-by-step explanation:
Answer:
the amount of soil needed is
Step-by-step explanation:
N/B: the width is 8 in
this problem bothers on the mensuration of solid shapes, rectangular prism
Given data
length l= 15 in
width w= 8 in
height h= 3/4 in
The amount of soil need in the flower box is equivalent to the volume of the box for the given data.
