Assume that the two angles are x and y.
We are given that:
One angle is 44 times the other angle
This means that:
x = 44y .......> equation I
We are also given that:
The two angles are complementary
This means that:
x + y = 90 ......> equation II
Substitute with equation I in equation II and solve for y as follows:
x + y = 90
44y + y = 90
45y = 90
y = 90/45
y = 2 degrees
Now, substitute with the y in equation I to get x as follows:
x = 44y
x = 44*2
x = 88 degrees
Based on the above calculations, the two angles you are looking for are 2 and 88.
hope this helps :)
Answer:
twenty four and sixty nine hundredths
Step-by-step explanation:
expanded notation means you just write it out.
2 way table
cola water milk total
boy 12 4 16 32
girl 14 9 5 28
Total 28 13 21 60
Answer:
16x² − 56x + 49
Step-by-step explanation:
The square of difference of two terms can be expressed as a perfect square trinomial in the following manner:
![(a-b)^{2}=a^{2}-2ab+b^{2}](https://tex.z-dn.net/?f=%28a-b%29%5E%7B2%7D%3Da%5E%7B2%7D-2ab%2Bb%5E%7B2%7D)
The symbol with square terms must be always positive. So this removes the first two options from the given choices. The correct option is either c or d.
Only the option d can be expressed as a perfect square as shown below:
![16x^{2}-56x+49\\\\ = (4x)^{2}-2(4x)(7)+(7)^{2}\\\\ =(4x - 7)^{2}](https://tex.z-dn.net/?f=16x%5E%7B2%7D-56x%2B49%5C%5C%5C%5C%20%3D%20%284x%29%5E%7B2%7D-2%284x%29%287%29%2B%287%29%5E%7B2%7D%5C%5C%5C%5C%20%3D%284x%20-%207%29%5E%7B2%7D)
Option c would have been correct if it was -30b instead of -15b i.e. the middle term is twice the product of first and second term.
So, option D is correct