Answer:
B. m ∠Z = 32°
Given:
Δ ABC ≅ Δ XYZ
m ∠ C = 32°
When 2 triangles are congruent we can say that all side of 1 triangle are equal to corresponding sides of other triangle.
Side AB= Side XY And Side BC = Side YZ and side AC = side XZ
Also,
When 2 triangles are congruent we can say measure of all angles of 1 triangle are equal to measures corresponding angles of other triangle.
m ∠A = m ∠X and m ∠B = m∠Y and m ∠C = m ∠Z
m ∠ C = 32° hence m ∠ Z = 32
Answer:
x=-4
Step-by-step explanation:
x+12+x+16=20
2x=20-28
x=-8/2
x=-4
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Answer:
100000
Step-by-step explanation:
Answer:
The artist used
more of silver wire
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
we know that
The Perimeter of the square is equal to

where
a is the length side of the square

so


so
Each side of the square has a length of 10 in
step 2
Find the circumference of the circle
The diameter of the circle is equal to the length of the side of the square
The circumference is equal to

we have

substitute

step 3
Find the difference

Answer: -16/65
Step-by-step explanation:
Drawing the right triangle (as attached) gives us that 
Also, 
This means our original expression is equal to:
![\cos \left[\arcsin \left(\frac{12}{13} \right)+\arcsin \left(\frac{3}{5} \right) \right]](https://tex.z-dn.net/?f=%5Ccos%20%5Cleft%5B%5Carcsin%20%5Cleft%28%5Cfrac%7B12%7D%7B13%7D%20%5Cright%29%2B%5Carcsin%20%5Cleft%28%5Cfrac%7B3%7D%7B5%7D%20%5Cright%29%20%5Cright%5D)
Using the cosine addition formula, which states
, we get this itself is equal to:

Since
, we know that:

Similarly, cos(arcsin(3/5))=4/5.
This means the given expression is equal to:
