Answer:
39,270 ways.
Step-by-step explanation:
That is the number of permutations of 3 from 35.
35P3 = 35! / (35-3)!
= 35*34*33
= 39270.
Functions whose graphs resemble sets of stairsteps are known as step functions.
The most famous of the step functions is the greatest integer function, which is
denoted by:
![f(x)=[x]](https://tex.z-dn.net/?f=f%28x%29%3D%5Bx%5D)
which graph is shown in the Figure below. As you can see from the graph:
![if \ x=-1.8 \ then \ f(-1.8)=[-1.8]=-2](https://tex.z-dn.net/?f=if%20%5C%20x%3D-1.8%20%5C%20then%20%5C%20f%28-1.8%29%3D%5B-1.8%5D%3D-2)
Therefore:
![f(-1.8)=-2[-1.8]+8=-2(-2)+8=\boxed{12}](https://tex.z-dn.net/?f=f%28-1.8%29%3D-2%5B-1.8%5D%2B8%3D-2%28-2%29%2B8%3D%5Cboxed%7B12%7D)
So the right answer is 12
Answer:
see the explanation
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional (this ratio is called the scale factor) and its corresponding angles are congruent
therefore
Two triangles are similar if there is a correspondence between their angles and their sides so that all corresponding angles are <u><em>congruent </em></u> and all corresponding sides are <u><em>proportional</em></u>
Answer:
AngleWUT =38°, option 2
Step-by-step explanation:
We have three rays passing through U. A ray is set extend in one direction with one fixed point.
We have UW ray bisecting VUT.As the ray bisects the angle between VUW and WUT would be same .
Given angles are (4x+6)° and (6x-10)°.
As these angles are equal
AngleWUT = (6x – 10)°
and x is 8 so on substituting AngleWUT =38°.
The opposite angles of a parallelogram are equal.
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15
Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°
Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108
Answer:
m∠A = 72°
m∠B = 108°
