Answer:
Step-by-step explanation:
Angle E is (7x+27) because it is corresponding.
So, 7x+27+15x-5=180 (angle on a straight line is 180 degrees
22x+22=180
22x=158
x= 158/22 = 7.18'
Two terms
bi is latin for two, therefore a binomial has two terms
Answer:
![\begin{array}{cccc}&\text{Prefer Pizza}&\text{Do not Prefer Pizza}&\text{Total}\\\text{Prefer Punch}&23&29&52\\\text{Do not Prefer Punch}&66&7&73\\\text{Total}&89&36&125\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccc%7D%26%5Ctext%7BPrefer%20Pizza%7D%26%5Ctext%7BDo%20not%20Prefer%20Pizza%7D%26%5Ctext%7BTotal%7D%5C%5C%5Ctext%7BPrefer%20Punch%7D%2623%2629%2652%5C%5C%5Ctext%7BDo%20not%20Prefer%20Punch%7D%2666%267%2673%5C%5C%5Ctext%7BTotal%7D%2689%2636%26125%5Cend%7Barray%7D)
Step-by-step explanation:
There are 125 members.
89 of them preferred pizza and 23 of 89 preferred punch, so 89-23=66 preferred only pizza.
52 members preferred punch, 23 of them preferred both pizza and punch, so 52-23=29 preferred only punch.
Now,
66 members preferred only pizza,
23 members preferred both,
29 members preferred only punch,
125-66-23-29=7 members did not prefer both
The two-way table is
![\begin{array}{cccc}&\text{Prefer Pizza}&\text{Do not Prefer Pizza}&\text{Total}\\\text{Prefer Punch}&23&29&52\\\text{Do not Prefer Punch}&66&7&73\\\text{Total}&89&36&125\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccc%7D%26%5Ctext%7BPrefer%20Pizza%7D%26%5Ctext%7BDo%20not%20Prefer%20Pizza%7D%26%5Ctext%7BTotal%7D%5C%5C%5Ctext%7BPrefer%20Punch%7D%2623%2629%2652%5C%5C%5Ctext%7BDo%20not%20Prefer%20Punch%7D%2666%267%2673%5C%5C%5Ctext%7BTotal%7D%2689%2636%26125%5Cend%7Barray%7D)
We must look at each equation and pick out which property matches with the choices
For the equation:
5(8+3)=5*8+5*3
The property is
Distributive Property
For the equation:
4x+(5x+3)=9x+3
The property is
Commutative property of Addition
For the equation:
a+b=b+a
The property is
Associative Property of Addition
Answer:
It is equal to the sum of its two opposite non-adjacent interior angles.
Step-by-step explanation:
An exterior angle of a triangle is <u>equal to the sum of its two opposite non-adjacent interior angles.</u>