Answer:
The values of x and y are x = 6 and y = 9Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
Bisect each other
Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
Answer:
Slope = 1.500/2.000 = 0.750
a-intercept = 0/3 = 0.00000
b-intercept = 0/-4 = -0.00000
Step-by-step explanation:
Notice that when a = 0 the value of b is 0/-4 so this line "cuts" the b axis at b=-0.00000
b-intercept = 0/-4 = -0.00000
When b = 0 the value of a is 0/3 Our line therefore "cuts" the a axis at a= 0.00000
a-intercept = 0/3 = 0.00000
Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 0.000 and for a=2.000, the value of b is 1.500. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 1.500 - 0.000 = 1.500 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750
Absolute value is the distance from zero
the distance between -60 and 13 on the number line would be 47
X will equal 4 because 4^2=4*4 which equals 16
Answer:
19.7 m
Step-by-step explanation:
Draw a circle to represent the ferris wheel with a 10.2 m radius. Draw a horizontal line through the circle center horizontal to the ground (at 13.1 m). Now draw a line from the center of the circle (ferris wheel) upward at 140 degrees until you reach the edge of the circle. Draw a line down from that point to the horizontal line at This is your right triangle to solve.
Hypotenuse is 10.2 m (radius of circle)
The angle of the triangle the supplementary angle of 140 degrees. 180-140=40 degrees
sin 40 degrees=rise /radius=rise/10.2
sin 40=0.6428=rise/10.2
rise=10.2(0.6428)
rise=6.6 m
13.1+6.6=19.7 m
