Answer:
The measure of angle ADE is equal to 62 degrees.
Step-by-step explanation:
Firstly, I want to remind you that the sum of the interior angles in a quadrilateral are 360 degrees. Now, we are given that CD || BA and CB || DA, which means that this quadrilateral is a parallelogram. This is important because we know that the opposite angles in a parallelogram are congruent, which means that angle C is congruent to angle A and angle B is congruent to angle D. Therefore, the measure of angle A is also 73 degrees. Next, we can represent angle D as x, which means that angle B is equal to x, so the sum of angle D and B is 2x. Finally, we can set up an equation where we solve for the value of x, and then subtract it with 45 degrees:
2x + 2(73) = 360
2x + 146 = 360
2x = 214
x = 107 = B = D
Now, we can subtract the measure of angle D with 45 degrees to get the measure of angle ADE:
ADE = 107 - 45
ADE = 62
L = 4D + 54 <== ur equation
the crew worked for 31 days...so sub in 31 for D
L = 4(31) + 54
L = 124 + 54
L = 178 miles <==
28 teachers prefer mint.
Step-by-step explanation:
Given,
Total number of teachers = 98
Ratio of teacher that prefer rocky road to mint = 5:2
Let,
x be the original number.
Teachers who like rocky road = 5x
Teachers who like mint = 2x
Dividing both sides by 7
Teachers who prefer mint = 2x = 2(14) = 28
28 teachers prefer mint.
Keywords: ratio, division
Learn more about division at:
#LearnwithBrainly
Answer: 14 points or 2 touchdowns
Step-by-step explanation:
7 touchdowns times 7 points = 49 points scored by brayden and gavin
9 touchdowns times 7 points - 63 points scored by cole and freddy
63 - 49 = 14
14 points = 2 touchdowns
