Answer:
123
Step-by-step explanation:
In a parallelogram, both pairs of opposite angles are congruent. Also, both pairs of opposite sides are parallel, meaning there are consecutive interior angles. Consecutive interior angles equal 180, so simply subtract 57 from 180 to find your missing angles.
Answer:
1.5 in
Step-by-step explanation:
Let x be the width of the frame.
Side of print=10 in
Area of frame=69 square in
We have to find the width of the frame.
Side of frame=10+x+x=10+2x
Area of square=
By using the formula
Area of print=
Area of frame with print=
Area of frame=Area of frame with print-Area of print
Because Side is always positive.
Hence, width of frame=1.5 in
Answer:
x = 20
Step-by-step explanation:
Traingle ABC = Traingle DEC
4x-1×4×5 = x+2×4×5
80x-1 = 2×20x
80x-20x = 2+1
60x = 3
60÷3 = x
x = 20
Answer:
(9,-2)
Step-by-step explanation:
5 is the x coordinate, and 4 is the y coordinate. When you go right a certain amount of units, you add those units to your x coordinate. If you were to go left a certain amount of units, you'd subtract them. Since we're going right, 5 + 4 = 9. When you go up a certain amount of units, you add those units to you y coordinate. If you were to go down a certain amount of units, you'd subtract them. Since we're going up, -6 + 4 = -2. So, x = 9 and y = -2, or (9,-2)
h = -4.9t^2 + vt
In our problem,
v = 12
t = 2
Let's plug our numbers into the equation.
h = -4.9(2)^2 + (12)(2)
h = -19.6 + 24
h = 4.4 m
