Answer:
C. Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
Step-by-step explanation:
The steps are below:
1. A diameter of the circle is drawn.
2. A perpendicular bisector of the diameter is drawn using the method described in the perpendicular bisector of a segment. This is also a diameter of the circle.
3. The resulting four points on the circle are the vertices of the inscribed square.
Answer:
i. The ratio of the areas of the two triangles is 5:8.
ii. The area of the larger triangle is 24 in².
Step-by-step explanation:
Let the area of the smaller triangle be represented by
, and that of the larger triangle by
.
Area of a triangle =
x b x h
Where; b is its base and h the height.
Thus,
a. The ratio of the area of the two triangles is:

Area of smaller triangle =
x b x h
=
x 5 x h
=
h
Area of the lager triangle =
x b x h
=
x 8 x h
= 4h
So that;
Ratio = 
= 
The ratio of the areas of the two triangles is 5:8.
b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;
= 
= 
5
= 15 x 8
= 120
= 
= 24
The area of the larger triangle is 24 in².
Answer:
The image is (-18,0)
Step-by-step explanation:
Here, we want to find the image of the given point after dilation by the given scale factor
Mathematically, given a point with the pre-image (x,y) going under the dilation of scale factor k, centered at the origin, the coordinates of the image will be;
(kx , ky)
Applying this in the given scenario, we have
(2(-9) , 2(0))
= (-18,0)
Answer:
3.6 gB
Step-by-step explanation:
You can think of this question in terms of the y = mx+b equation.
$78.90 is y because it is the total amount per month, $4 is m because it is the cost per gB, and $64.50 is b because it is the flat rate.
78.9 = 4x + 64.5
4x = 14.4
x = 3.6 gB of data (or 3 if it wants a whole number)
Answer:
4:9
Step-by-step explanation:
8:18 in simplest form is 4:9