Answer:
x = 58°
Step-by-step explanation:
First, we need to find the green angle on the bottom left of the triangle.
We know that straight lines are supplementary, or equal 180 degrees, so we can say that 114° + a (a variable representing the measure of the angle) = 180°.
Equation:
114 + a = 180
Solve:
114 + a = 180
-114 -114
a = 66
Therefore, the value of the green angle is 66 degrees.
Now, we need to find the value of angle x.
We know that the sum of the angles in a triangle is 180 degrees.
So, 56° + 66° + x = 180°
Equation:
56 + 66 + x = 180
Add:
56 + 66 + x = 180
122 + x = 180
Subtract:
122 + x = 180
-122 -122
x = 58
Therefore, x is 58 degrees.
Answer: Rachel spent $519
Step-by-step explanation: Add 70 to 499 and you get 519
ANSWER
10 weeks, $310
EXPLANATION
We have a system of linear equations as both equations need to be satisfied by the same ordered pair (x,y):
y = 25x + 60
y = 30x + 10
We can solve this by substitution. Since y is equal to 25x+60, we can substitute in 25x + 60 for y in the equation y=30x+10
y = 30x + 10
25x + 60 = 30x + 10
Subtract 25x from both sides
60 = 5x + 10
Subtract 10 from both sides and then divide both sides by 5
50 = 5x
x = 10
x represents time in weeks, so 10 weeks.
Find y, the amount of money, by substituting x=10 into either equation.
If we use y = 30x + 10, then
y = 30x + 10
y = 30(10) + 10
y = 300 + 10
y = 310
y = 310 implies $310 so the answer is 10 weeks, $310.
Add 7 to both sides.
-3y = 9
Divide -3 on both sides.
y = -3
Hope this helps!
Answer:
Step-by-step explanation:
we know that
The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points
The formula to calculate the distance between two points is equal to
we have
A(1, 1) and B(7, −7)
Let
(x1,y1)=A(1, 1)
(x2,y2)=B(7, −7)
substitute the given values in the formula
