Answer:
1. a
2. b
3. c
4. d
Step-by-step explanation:
The conditional, <span>If four points are non-coplanar, then they are non-collinear, </span>is true:
This is, coplanarity is a necessary condition to be collinear.
The converse, <span>If four points are non-collinear, then they are non-coplanar, is false.
A counterexample that disproves this statement is the 4 vertices of a paralelogram, of course they are in a same plane and are not collinear.
</span>
Answer:
x > 9/5
Step-by-step explanation:
Step 1: Write inequality
2/3x - 1/5 > 1
Step 2: Solve for <em>x</em>
- Add 1/5 to both sides: 2/3x > 6/5
- Divide both sides by 2/3: x > 9/5
Here we see that any <em>x</em> value greater than 9/5 will work.
Answer:
Rene made = 90 on her math test
If she answer =20problems correctly
we know,
how many problem were there = ?
there where = 90-20
= 70
There where 70 problems
Answer:
₹900
Step-by-step explanation:
Let x represent the amount loaned at 10%. Then (1500-x) is the amount loaned at 7%, and the total interest for 3 years is ...
i = Prt
396 = x(0.10)(3) + (1500-x)(0.07)(3)
396 = 0.09x +315 . . . . . simplify
81 = 0.09x . . . . . . . . . . . subtract 315
81/0.09 = x = 900 . . . . . divide by the coefficient of x
The sum lent at 10% was ₹900.