Answer:
x = 78
Step-by-step explanation:
Look at Triangle DBH. Two of its angles are known. Let y = <DHB
47 + 31 + y = 180 All triangles have 180 degrees. Combine the left.
78 + y = 180 Subtract 78 from both sides.
78-78+y = 180-78 Combine
y = 102
Notice that y + x = 180 They form a straight line.
102 + x = 180 Subtract 102 from both sides.
x = 78
You should notice that x is an exterior angle. (I didn't at first).
Exterior angles are the sum of the two remote interior angles which in this case, are 31 + 47 = 78
Much shorter and much easier.
This question is incomplete
Complete Question
A school held several evening activities last month—a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. How many people came to each of the other activities?
Attendance at the drama play was 140% of attendance at the concert. How many people came to the drama play?
Answer:
350 people
Step-by-step explanation:
Percentage of people that attended a drama play =
Number of people that attended the drama play/Total number of people at the concert × 100
Attendance at the drama play was 140% of attendance at the concert.
The music concert was attended by 250 people
Let the number of people that came to the drama play = x
Hence:
140% = x/250 × 100
140/100 = x/250
Cross Multiply
140 × 250 = 100 × x
x = 140 × 250/100
x = 350 people
Therefore, the number of people that came to the drama play = 350 people
21 because you turn the 5 yards in to feet which is 15, then you add 15+4+2=21
A strategy is making a vertical number line or rounding the numbers
Answer:
Compare the constants of the two variables.
Changed at the same rate, or by the same factor, then they are directly proportional. For example, since the x-coordinates changed by a factor of 2 while the y-coordinates also changed by a factor of 2, the two variables are directly proportional.
Step-by-step explanation:
