Answer:
b is 7 units from 0.
Step-by-step explanation:
= 7 means that the absolute value of b is 7. This means that b can be -7 or 7, so it will always be 7 units from 0.
Hope this helps!
I believe the height is 9
Answer:
The percentage of people going to the people in week 4 compared to week 1 decreased by 25%.
Step-by-step explanation:
Week 1: 1,040 people
Week 2: 105 fewer people
1040 - 105 = 935 people
Week 3: 135 more people
935 + 135 = 1070 people
Week 4: 290 fewer people
1070 - 290 = 780 people
So, there were 260 fewer people, going to the pool in those 4 weeks compared to week 1.
Now, we must find the percentage change.
x/100 = 780/1040
Cross multiply.
1040x = 78000
Divide both sides by 1040 to leave x by itself on one side.
x = 78000/1040
x = 75%
This means only 75% of the total people from week one were going to the pool in week four. Therefore, there was a 25% decrease in the number of people who went to the pool over these four weeks.
Answer:
- m∠1=m∠4=m∠5=m∠8=67°;
- m∠2=m∠3=m∠6=m∠7=113°.
Step-by-step explanation:
Consider two parallel lines a and b with transversal m. These lines form 8 angles.
Note that
Since the difference of two angles is 46°, then these angles should be, for example, ∠1 and ∠2. These angles are supplementary, then
m∠1+m∠2=180°.
Solve the system of two equations:
![\left\{\begin{array}{l}m\angle 1+m\angle 2=180^{\circ}\\m\angle 2-m\angle 1=46^{\circ}\end{array}\right.\Rightarrow \left\{\begin{array}{l}2m\angle 2=226^{\circ}\\2m\angle 1=134^{\circ}\end{array}\right.\Rightarrow \left\{\begin{array}{l}m\angle 2=113^{\circ}\\m\angle 1=67^{\circ}\end{array}\right..](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dm%5Cangle%201%2Bm%5Cangle%202%3D180%5E%7B%5Ccirc%7D%5C%5Cm%5Cangle%202-m%5Cangle%201%3D46%5E%7B%5Ccirc%7D%5Cend%7Barray%7D%5Cright.%5CRightarrow%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7D2m%5Cangle%202%3D226%5E%7B%5Ccirc%7D%5C%5C2m%5Cangle%201%3D134%5E%7B%5Ccirc%7D%5Cend%7Barray%7D%5Cright.%5CRightarrow%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dm%5Cangle%202%3D113%5E%7B%5Ccirc%7D%5C%5Cm%5Cangle%201%3D67%5E%7B%5Ccirc%7D%5Cend%7Barray%7D%5Cright..)
Then
- m∠1=m∠4=m∠5=m∠8=67°;
- m∠2=m∠3=m∠6=m∠7=113°.