Answer:
15.75
36
15.75
Step-by-step explanation:
Formula
the relationship between these two secants is NQ * NP = NM * LM
Givens
- NP = 32
- NQ = x
- NM = 14
- NL = 14 + 22 = 36
Solution
x*32 = 14*36 Substitute values. Divide by 32
x = 14 * 36/32 Multiply 14 and 36
x = 504/32 Divide by 32
x = 15.75
The answer to the first box is 15.75 or x
The answer to the second box is
LM is assumed to be 22 So LN = MN + LM = 22 + 14= 36
QN = 15.75 is the third answer.
Answer:
x= 22
y = 35
Step-by-step explanation:
The base angles of a isosceles triangle are equal
3x-11 = 2x+11
Subtract 2x from each side
3x-2x -11 = 2x-2x+11
x-11 = 11
Add 11 to each side
x-11+11 = 11+11
x = 22
The sum of all the angles in a triangle is 180
3x -11 + 2x+11 + 2y = 180
Combine like terms
5x +2y = 180
5*22 + 2y = 180
110 + 2y = 180
Subtract 110 from each side
110+2y-110 = 180-110
2y = 70
Divide by 2
2y/2 =70/2
y = 35
Multiplication is an abbreviated form of addition.
For instance,
3 × 3 = 3 + 3 + 3 = 9
Petra did not get any because Celine is fat and ate them all.
