Answer:
m∠Q = 121°
m∠R = 58°
m∠S = 123°
m∠T = 58°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Create an expression for the sum of all the angles and equate it to 360, then solve for x:
∠Q + ∠T + ∠S + ∠R = 360
⇒ 2x + 5 + x + 2x + 7 + x = 360
⇒ 6x + 12 = 360
⇒ 6x = 360 - 12 = 348
⇒ x = 348 ÷ 6 = 58
So now we know that x = 58, we can calculate all the angles:
m∠Q = 2x + 5 = (2 x 58) + 5 = 121°
m∠R = x = 58°
m∠S = 2x + 7 = (2 x 58) + 7 = 123°
m∠T = x = 58°
Answer:
We should expect <u>10 iris bouquet</u> will be sold out of next 35 bouquet sold.
Step-by-step explanation:
Given;
Number of iris bouquets sold yesterday = 6
Number of other bouquets sold yesterday = 15
We need to find number of iris bouquets sold out of 35 bouquets sold.
Solution:
First we will find the percent of iris bouquet sold yesterday.
Now we know that;
Total bouquet sold yesterday is equal to sum of Number of iris bouquets sold yesterday and Number of other bouquets sold yesterday.
framing in equation form we get;
Total bouquet sold yesterday = 
Now we can say that;
Percent of iris bouquet sold is equal to Number of iris bouquets sold yesterday divided by Total bouquet sold yesterday and then multiplied by 100
framing in equation form we get;
Percent of iris bouquet sold = 
Now based on this data we need to find number of iris bouquet sold when total bouquet sold is 35.
number of iris bouquet = 
Hence we should expect <u>10 iris bouquet</u> will be sold out of next 35 bouquet sold.
Answer:
12 students
Step-by-step explanation:
Given that:
Eighth grade student = 72
Sixth grade student = 84
To group the students into the largest possible equal group with no student left, obtain the greatest common factor of the number of sixth grade and eighth grade student
Factors of 72:
72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36
84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 81
The greatest factor common in both numbers is 12.