Answer:
x=35
Step-by-step explanation:
180-147=33 (angles in a straight line)
33+3x+42=180 (angles in a triangle)
3x+42=147
147-42=105
105/3=35
The coordinates of the other endpoint are (-8, 18)
Answer:
1) Change the length of side AB to 2 feet
Step-by-step explanation:
Given that both structures are similar, it follows that the ratio of their corresponding lengths are equal.
To find out what should be the correct length of AB that she should change to, set up the proportion showing the ratio of 2 corresponding lengths of both structures. Thus:

We will assume AB is unknown.
PR = 7.5 ft
AC = 2.5 ft
PQ = 6 ft
Plug in the values into the equation

Cross multiply


Divide both sides by 7.5

The architect should change the length of AB to 2 ft
50% of 30 is 15. 50% of anything is its half
Answer:
5.67
Step-by-step explanation:
- 68.0052 divided by 12 = 5.6671
- The hundredth place is two digits to the right of the decimal point.
- To round this look at the third number to determine whether the 6 in 5.6<u>6</u>71 is rounded to 7.
- The third digit to the right of the decimal is greater than 5 so the number is rounded to 5.67