Answer:
<u>Find the missing side first.</u>
- x =
1) tangent = opposite leg / adjacent leg
- tanβ = √95/7
- Correct choice is B
2) sine = opposite leg / hypotenuse
- sinβ = √95/12
- Correct choice is D
Answer: OPTION A.
Step-by-step explanation:
By definition, a dilation can be an enlargement or a reduction of the shape.
An enlargement is when dilation creates a larger image and a reduction is when dilation creates a smaller image.
When, the scale factor is greater than 1, the image is an enlargement and when the scale factor is between 0 and 1, the image is a reduction.
It is important to know that with a negative scale factor the enlargement will will be inverted and it will also be on the other side of the center of dilation.
Knowing this, we can say that the scale factor that will result in an enlargement is:

Answer:
ASA
Step-by-step explanation:
if you understood the other, similar questions now, this one is really, really easy.
we got the confirmation for 2 angles and the side between these angles.
so, angle side angle or ASA
Lets Anna's age = A
Mr. Goldstein age = G
Mr. Goldstein is 4 times as old as his daughter Anna.
So G= 4A
In 4 years, he will be 3 times as old as Anna
we add 4 with Both their ages
G + 4 = three times of A + 4
G + 4= 3(A + 4)
We know G= 4A, replace it in above equation
4A + 4= 3(A + 4)
4A + 4= 3A + 12
Subtract 3A from both sides
A + 4 = 12
Subtract 4 from both sides
A = 8
So Anna's age = 8 years
Integers and Rational Numbers, it is because if -11 is a Integer, it also has to be a Rational number. But your actual answer is Integers.