Angles three and four are a linear pair, meaning that they they form a line. When two angles make a line, the measures add up to 180°. Adding the two values together, we see that 3x+27x=180. Simplifying and solving for x, we get 30x=180 ⇒ x=6.
The question, however, is asking for the measure of angle 4. Thus, we plug x=6 into 7x to get 6(7)=42.
Hope this helped!
Answer:
z = 30
Step-by-step explanation:
WX and VU are congruent
2z + 10 = z + 45
subtract z from both sides (z + 10 = 45)
subtract 10 from both sides (z = 30)
the answer is z = 30
There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?
This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as
and we can use this to express both of our values. So, for Ohio, we have 
and for Illinois we have 
. Now, because they are proportional, we can set them equal to each other and we get 
. Now we can cross multiply to get 
. To get the 
alone on one side, we divide by
and we get 124,662.931034, which is about equal to 124,663.
Therefore, we expect Illinois to have 124,663 public school teachers
Answer:
hypotenuse = 102.69
Step-by-step explanation:
7(13) + 4 = 95
3(13) = 39
hypotenuse² = 95² + 39² = 9025 + 1521 = 10546
hypotenuse = √10546 = 102.69
50 X (40 X$20) = 50 X $800 = $40,000
15 X (4 X (50% X $20+ $50)) = 15 X (4 X $60) = 15 X 240 = $3600
$40,000 + $3600 = $43,600 Total payroll
$3,600/$43,600 = .0825688073 as a percent rounded to the nearest tenth is 8.3%
