Answer:
88.90 cm
Step-by-step explanation:
We know that m ║ n.
Let's first find the value 'x'.
When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.
This means that (5x + 16)° and (7x + 4)° are equivalent.
Equating them,
5x + 16 = 7x + 4
16 - 4 = 7x - 5x
12 = 2x
x = 12/2
x = 6°
Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.
5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.
7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.
Now let's find the value of 'y'.
If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.
This means that both those angles should add upto 180°.
Using that theory, the following equation can be framed:
(y + 6)°+ (7x + 4)° = 180°
Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.
(y + 6)° + 46° = 180°
y + 6 + 46° = 180
y + 52° = 180°
y = 180° - 52°
y = 128°
Therefore, the values of 'x' and 'y' are 46° and 128° respectively.
Hope it helps. :)
Answer:
$1350
Step-by-step explanation:
5% of 1000 is 50
50x7 is 350
1000+350=1350
The key term here is inverse variation - that is, two or more variables must multiply to a certain product.
So, let's multiply 12 and 8. We get 96.
The correct pair must contain factors of 96.
16 and 6 are factors of 96, so the answer is (D).
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