Answer:
Option D
Step-by-step explanation:
SAS criterion- two sides and an included angle.
This means that we have
(i) AC = DE
(ii) ∠C = ∠D
(iii) the third should be another side so that there are 2 sides with an included angle.
Hence, it will be
BC = FE (Option D)
Hope this helps you!
If your talking about 13^5 × 4^5 then your answer is 380,204,032.
Answer:
The scale factor is 1/2
Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produces similar figures
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ---> the scale factor
x ---> the area after dilation
y ---> the original area
we have
substitute
Answer:8.300
Step-by-step explanation:
Answer:
1) 51
2) 0.8
3) cosecant
Step-by-step explanation:
Question 1
The image for this scenario is attached below. Note that base of the television tower forms the side adjacent to the angle and the length of the tower forms the side opposite to the angle. The two angles marked in image are equal because of the property of Alternate Interior Angles.
So,
Adjacent side = 120 feet
Opposite side = 150 feet
Tangent of an angle is defined as:
Using the values, we get:
Rounded to the nearest degree, the angle of depression would be 51 degrees.
Question 2)
We have to find the cosine of angle Z. cos is defined as:
The side adjacent to angle Z is 24 and the hypotenuse is 30. So cos(Z) would be:
Therefore, value of cos(Z) for given triangle would be 0.8
Question 3
The opposite of sine ratio is known as cosecant which is abbreviated as csc
Since it is the opposite of sine ratio, it would be calculated as:
sine of angle is the ratio of opposite and hypotenuse, so csc would be ratio of hypotenuse to opposite side i.e.