<span>In a triangle, the three interior angles always add to 180°.
56° + 72° + x° = 180°
128° + x° = 180° |subtract 128° from both sides
x° = 52°</span>
Answer:
f
−
1
(
x
)
=
1
2
x
+
5
Explanation:
f
(
x
)
=
2
x
−
10
→
Replace the
f
(
x
)
with
y
y
=
2
x
−
10
→
Switch the places of the x and the y
x
=
2
y
−
10
→
Solve for y
x
+
10
=
2
y
y
=
1
2
x
+
5
The inverse is
f
−
1
(
x
)
=
1
2
x
+
5
The answer is B, 5/6, because when you multiply 4 by 5 it is 20, and when you multiply 5 by 6, you get 30, so 20/30. And, 20/30=2/3. I hope I answered your question!
Since we know that dilation of a figure changes all sides of a figure by same factor.
Let us find out factor of dilation of our figure.
We will find side length QR of our quadrilateral QRST and its corresponding side QR' of quadrilateral Q'R'S'T'.
Let us find side length of Q'R'.
Let us compare both our side lengths to find factor of dilation,
Upon cross multiplication we will get,
We can see that Q'R' is of Q'R'. Therefore, our factor of dilation is .
Area of small circle = PI x r^2
r = 1/2 the diameter ( 1/2 * 3 = 1.5)
3.14 x 1.5^2 = 7.065 square cm
there are 2 small circles so total area for them = 7.065 * 2 = 14.13 square cm
the area for the large circle = PI x r^2
the radius of the large circle is 3 cm
3.14 x 3^2 = 28.26 square cm
the area of the shaded area is: 28.26 - 14.13 = 14.13 square cm, which can round down to 14 square cm.