Answer:
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Step-by-step explanation:
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5. If a = b, and b = c then a = c is the transitive property.
6. The converse is switching the order of the statement.
The answer would be If A <15, then a <10: true
7. You have RS + ST = RT
Using subtraction property solve for RS by subtracting ST from both sides to get: RS = RT-ST
8. The addition property would be adding the same thing to both sides:
So. If p=q, then p+s = q+s
9. Vertical angles are the same:
6x-22 = 4x+2
Subtract 4x from both sides:
2x-22 = 2
Add 22 to both sides:
2x = 24
Divide both sides by 2:
x = 12
Answer:
Step-by-step explanation:
Consecutive integers just means like one after another.
This means that:
First number = x
Second number = x + 1
Third number = x + 2
They've told us that the sum of 3 consecutive integers is 78.
First number + second number + third number = 78
Sub the equations we wrote into the formula above and we get:
x + x + 1 + x + 2 = 78
Gather the like terms.
3x + 3 = 78
Subtract 3 from both sides.
3x = 78-3 = 75
Divide both sides by 3 to solve for x.
x = 75/3 = 25
If you look at the very beginning we said that the first number = x.
Therefore it is 25.
Second number = x + 1 = 26
Third number = x + 2 = 27
Because the sofa usually sells for $800, we know that's 100% of the price.
100% = $800
Let's find 1%.
1% = $800/100
1% = $8
Next, multiply $8 by 75 to find the percent of the sofas price when it's $600.
75% = $600
We now know that $600 is 75% of the sofas original price.
100% - 75% = 25%
The percent of decrease I'm the sofas sale price is 25%.
Hope I got that right, the question was worded a little strangley so I wasn't quite sure what you were asking :)
Answer:
32
Step-by-step explanation:
substitute the given values of a, b and c into the expression:
b² - 2ac = 4² - (2 x 4 x -2)
= 16 - (-16)
= 16 + 16
= 32
