Answer:
13 pieces
Step-by-step explanation:
We are given that each pie was cut into 8 pieces .
therefore 1 pie is equal to 8 pieces
1 pie = 8 pieces
Lonna gave 13/8 pie to her neighbor .
So multiply both sides with 13/8 in the above equation in order to make the right side into 13/8 pie and to find the corresponding number of pieces .
1×
pie=8×
pieces
pie = 13 pieces
Answer:
See explanation
Step-by-step explanation:
Triangles ΔABC and ΔBAD are congruent. So,
- AB ≅ BA;
- AC ≅ BD;
- BC ≅ AD;
- ∠ABC ≅ ∠BAD;
- ∠BCA ≅ ∠ADB;
- ∠CAB ≅ ∠DBA.
Consider triangles AEC and BED. In these triangles,
- AC ≅ BD;
- ∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
- ∠AEC ≅ ∠BED (as vertical angles).
So, ΔAEC ≅ ΔBED. Thus,
AE ≅ EB.
This means that segment CD bisects segment AD.
Answer:
x=-1
Step-by-step explanation:
Answer:1
1. 
2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°
Step-by-step explanation:
It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°
We know this using the formula
, a 4 sided figures angles will add up to

This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.

Combine like terms:

Divide both sides by 12:

We know now substitute x for 30 in for all of the side lengths.
∠ABC = 4x =
°
∠BCD = 3x =
°
∠CDA = 2x =
°
∠DAB = 3x =
°
Hope this helped!
a +b = 7
a-b = 3
Rewrite the second equation as a = 3+b
Replace a in the first equation with that:
3+b + b = 7
Simplify:
3 +2b = 7
Subtract 3 from both sides:
2b = 4
Divide both sides by 2:
b = 4/2 = 2
Now replace b in the first equation with 2 to solve for a:
a + 2 =7
a = 7-2 = 5
so you now have a and b.
Now solve the given equation:
2^a * 2^b
2^5 * 2^2
32*4
128
The answer is 128.