Do you have notes so I can look at them to help you? Cause I pretty good at math but I need the notes.
Dilation is the process in which the dimensions of a given shape is increased or decreased by a scale factor. Therefore the answers to the questions are:
A. Since the dilation of triangle XYZ do not affect the measure of its internal angles, then the trigonometric ratios of respective internal angles are the same.
B. segment CB = 10
ii. segment AB = 11.18
From the given information in the question, triangle XYZ is an image of triangle ACB. In triangle XYZ, given that Sin X = ; it implies that its hypotenuse is 5.59, and the opposite side as 5. So that;
Sin X =
X = 0.8945
X =
Thus,
<X + <Y + <Z =
+ + <Z =
<Z = -
=
<Z =
So then, the third side can be determined by applying the Pythagoras theorem.
= +
= +
= -
= 6.2481
x =
= 2.49962
x = 2.5
Thus,
Cos X =
=
Cos X =
Tan X =
=
Tan X =
Therefore:
A. Considering triangles XYZ and ACB, the measure of their respective internal angles are the same.
i.e <X ≅ <A
<B ≅ <Z
<C ≅ <Y
So that the trigonometric ratios of respective internal angles are the same.
B. Given that triangle XYZ was dilated by a scale factor of 2, then the respective length of each sides of triangle ACB is twice that of XYZ.
Then,
i. segment CB = 2 x segment YZ
= 2 x 5
segment CB = 10
ii. segment AB = 2 x segment XZ
= 2 x 5.59
segment AB = 11.18
Answer:
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6
Step-by-step explanation:
When we roll a die we get 1,2,3,4,5,6
When get flip a coin get get H or T for heads or tails
The top right lists the possible outcomes, one for the heads or tails and one of the die outcomes
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6
For this we would first simplify using order of operations.
6(-3-x) - 2x = 14 ------> Distribute
-18 -6x - 2x = 14 ------> Combine Like Terms
-8x - 18 = 14 Now we want to isolate x!
-8x - 18 = 14 ------> Add 18 to both sides.
-8x = 32 ------> Divide both sides by -8.
x = -4
Hope this helps!
The hight of the step is
h ≥ 8 inches
If we take that in one feet we have twelve inches
The hight between floors are H=10ft = 120 inches
If we named number of steps with n, the appropriate inequality is
n ≤ 120/8 => n ≤ 15
Good luck!!!!
