Answer:
= 9
Step-by-step explanation:
The given parameters are;
The point of intersection of the perpendicular bisectors of the sides 
, 
, and 
intersect (meet) at point G
Let D represent the point of intersection of the perpendicular bisector from G to , we have for ΔBGD and ΔCGD;
≅ by reflexive property
∠GDB = ∠GDC = 90° given that is the perpendicular bisector of
Similarly, 
≅ 
, also given that is the perpendicular bisector of
Therefore;
ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency
≅ 
by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)
= = 9 by definition of congruency
∴ = 9.
Answer:
5 cookies
Step-by-step explanation:
4/1=4 4+1=5
Answer:
∠DEF = 250°
Step-by-step explanation:
1. This shape is a hexagon (6 sides), so the interior angles should all add to 720°. Also worth noting: the problem says the <em>obtuse</em> angle DEF; this means it's the angle INSIDE the shape, not outside.
2. Add all the known angles, then subtract from the total degrees:
50 + 96 + 144 + 42 = 332
720 - 332 = 338
3. Because BC is parallel to ED, we can subtract 180 - 42 for the value of ∠EDC, which is 138°.
4. Add all the known values and subtract from 720 for the value of ∠DEF:
50 + 96 + 144 + 42 + 138 = 470
720 - 470 = 250°
Hello!
To solve this equation, we need to isolate the variable on one side of the equation to see what it equals.
As you can see, 2.7 is added. To get it onto the other side and cancel it from the one side, you will subtract it from both sides as shown below. Note that because of the commutative property, we can switch the places of 2.7 and x.
x+2.7-2.7=17-2.7 (Note that 2.7=2.7 is 0 in this equation.
x=14.3
Our solution is x=14.3
I hope this helped you learn how to solve equations a bit better!
The mean of the data is:
6.4
