Answer: m∠ATC = 54°
Step-by-step explanation:
Ok, we know that:
m∠ATB = 20° and m∠BTD = 72°
then we must have that the angle between A and D, is equal to the sum of the angles between A and B, and B and D, or:
m∠ATD = m∠ATB + m∠BTD = 20° + 72° = 92°
Now, we also know that m∠CTD = 38°
And the angle:
m∠ATC will be equal to the angle between A and D, minus the angle between C and D, or:
m∠ATC = m∠ATD - m∠CTD = 92° - 38° = 54°
Answer:
35 and 36
Step-by-step explanation:
To solve this problem, we must interpret it line by line;
- We are dealing with consecutive integers; these are integers with a difference of 1 between them.
let the first number = x
second number = x + 1
x
- one - ninth of the second;
(x + 1)
for the "less" ;
x - (x + 1) = 3
Multiply through by 45
45(x) - (45) (x + 1) = 3 x 45
9x - 5(x + 1) = 135
9x - 5x -5 = 135
4x = 135 + 5
4x = 140
x = 35
Now, x+1 = 35 + 1 = 36
The consecutive integers are 35 and 36
Answer:
$2
Step-by-step explanation:
So, 8% is the same as 8/100 or .08. I'll be using .08 to make things more simple. Now, if she earned $25 last week and she saves 8% of it then, the equation to find how much she saved would be 25 times .08. Simply plug that into a calculator to get the answer $2.
Solve first for the solution of the inequalities. This can be done by replacing first the inequalities sign with the equal sign.
x + y = 1
2y = x - 4
The values of x and y from the system of linear equation are 2 and -1. This means that the intersection of the lines should be at point (2, -1).
Substitute 3 to x and determine the value of y from the second inequality.
2y ≥ x - 4
Substituting,
2y ≥ 3 - 4, y ≥ -1/2
Hence, the solution to this item should be the fourth one.
Answer:
12, 25, 26, 26, 26, 34, 35, 39, 42, 42, 50, 72.
Step-by-step explanation:
A stem and leaf plot works like a digit separator. The left is the first number, which is usually repeated, and the right is the number you add to it.
In this example, 3 is used three times for the numbers 34, 35, and 39.
