Answer:
-12
Step-by-step explanation:
(-4) - 8
Keep Flip Change
Keep
(-4)
Flip
- to +
Change to opposite
8 to -8
Result
-4 + -8 = -12
Answer:
535.07
Step-by-step explanation:
S=P(1+ i) ^n
i= nominal rate of interest / number of compounding periods
i =. 06/12
=0.18
Divided by 100
=0.0018
n- number of times interest is given per year x the number of years
n=12x3
=36
8000(1+0.0018)^36
=8535.07
Interest
8535.07 - 8000
=535.07
Answer:
24: x = 31
25: x = 15
Step-by-step explanation:
Remark
24 is supplementary which means that the two angles add to 180o which is on the right hand side of the equation
25 is complementary which means that the two angles add to 90o which is on the left hand side of the equation
Twenty Four
3x + 31 +2x - 6 = 180 Collect the like terms
3x +2x + 31 - 6 = 180 Do the adding and subtracting.
5x + 25 = 180 Subtract 25 from both sides
5x + 25 - 25 = 180 - 25
5x = 155 Divide by 5
x = 155/5
x = 31
Check
3x + 31 = 3*31 + 31
3x + 31 = 93 + 31
3x + 31 = 124
2x - 6 = 2*31 - 6 = 62 - 6 = 56
Total 124 + 56 = 180 as it should.
Twenty Five
Equation
3x+ 4x - 15 = 90
Solution
7x - 15 = 90 Like terms have been collected on the left.
7x = 90 + 15 15 was added to both sides
7x = 105 Divide by 7
x = 15 I'll leave the check to you
<h3>
Answer: A. 9</h3>
=====================================================
Explanation:
Draw in the segments AO and OC.
Triangle ABO is congruent to triangle CBO. We can prove this through the use of the HL theorem. HL stands for hypotenuse leg.
Since the triangles are congruent, this means the corresponding pieces AB and BC are the same length.
Then we can say:
AB+BC = AC .... segment addition postulate
AB+AB = AC .... plug in BC = AB
2*AB = AC
2*AB = 18
AB = 18/2 .... divide both sides by 2
AB = 9
In short, the chord AC is bisected by the perpendicular radius drawn in the diagram. So all we do is cut AC = 18 in half to get AB = 9.
Answer:
490/10=49
Every 10 numbers is one number. I divided by 490 because it says less then 500
Step-by-step explanation:
