Okay. On the part that's not the whole number, see how the top number is BIGGER than the bottom? That means that it's not simplified. In order to make it simplified, you have to take a whole out of the pat that's not a whole number. Since the denominator is 12, the whole is 12/12. So, subtract it from the 13/12.
13/12-12/12=1/12
Now, since you found a whole inside of the fraction you have to add 1 to the whole number.
5+1=6
So, the answer is 6 1/12.
Thanks for the points!
Answer:
m∠A = 90°
Step-by-step explanation:
In isosceles triangle base angles are congruent. That means we can equate measurments of angle B and angle C and solve for x!
m∠B = m∠C
11x - 10 = 7x + 10
4x - 10 = 10
4x = 20
x = 5
Now let's insert x back in the expressions for angles.
m∠B = (11x − 10)° = (11(5) − 10)° = 45°
m∠C = (7x + 10)° = (7(5) + 10)° = 45°
<u>Sum of all angles in the triangle is 180°.</u> Let's make an equation.
m∠A + m∠B + m∠C = 180°
m∠A + 45°+ 45° = 180°
m∠A = 90°
Answer:
0.001
Step-by-step explanation:
Ericsson is claimed to increase the likelihood of a baby girl ;
Given the alternative hypothesis to buttress this claim :
HA : p>0.5
In other to establish the success of Ericsson's claim, then there must be significant evidence to reject the Null hypothesis ; hence adopt the alternative.
To Do this, we need a very small Pvalue ; such that it will be lesser than the α - value in other to reject the Null and adopt the alternative.
Recall ;
Pvalue < α ; We reject the Null
Therefore, from the options, we choose the smallest Pvalue as we want the Pvalue to be as small as possible.
Answer:
24p
Step-by-step explanation:
£1 - £0.52 = £0.48 ← cost of 2 oranges
cost of 1 orange = £0.48 ÷ 2 = £0.24
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
