C: 419.
Explanation:
It has an infinite number if decimals when you try to find the square root
1. A line is defined with 2 points and the plane is defined with 3 non-colinear points.
Answer: D ) PQ and plane PQS.
2. Opposite rays have the common endpoint ( here: B ) and extend in different directions ( BA and BD ).
Answer: A ) BD.
Answer:
43
Step-by-step explanation:
Using Thales theorem:
● SP/LN = RP /RN
Notice that RN = 2×RP
● SP/LN = RP/2RP
● SP /LN = 1/2
● SP / (5x-14) = 0.5
● (2x+3)/(5x-14) = 0.5
● 2x+3 = 0.5(5x-14)
● 2x+3 = 2.5x -7
Add 7 to both sides
● 2x+3+7 = 2.5x-7+7
● 2x+10 = 2.5x
Sustract 2x brom both sides
● 2x+10-2x = 2.5x-2x
● 10 = 0.5x
Multiply both sides by 2
● 10×2 = 0.5x×2
● 20 = x
Replace x with 20 in Sp expression:
● SP = 2x+3
● SP = 2×20+3
● SP = 43
18.75/2.5
Multiply each by 10
18.75×10/2.5×10
187.5/25
You can use long division or short division
The answer is 7.5.
LONG DIVISION ALGORITHM because the answer is expressed in decimal notation.
12. These are corresponding angles therefore they must be equal for u and v to be parallel
12x-4=10x+10
2x=14
x=7
14. These also must be equal for u and v to be parallel so
19x-4=110
19x=114
x=6
16. Same here, they’re alternate angles so they must be equal
7x+14=8x+6
8=x
18. If x=25 then both angles would be greater than 180 degrees so x cannot equal 25.