Answer:
D - ASA
This should be the answer since FH and IG can be said to be parallel and therefore we can find both alternate angles or a vertical opposite angle with one side given. We know that ΔFHJ is reduced by a factor of 2 to get ΔGIJ.
Answer:
x = -1
Step-by-step explanation:
When an exponent is negative, you have to move it to the denominator (or to the numerator if it's already on the denominator). Since the answer is , you know that the 2 has been raised to the power of 1 (any number to the power of 1 is the same number), so you just make it negative. Hope that helps!
Answer:
2%
Step-by-step explanation:
Let x be the first number
It increases by 70 %
The new number is
m = x+ .70x
= 1.7x
Let y be the second number
It decreases by 40 %
The new number is
n =y - .40 y
= .6y
The product of the original numbers is xy
The product of the new number is
mn = (1.7x * .6y) = 1.02xy
The new number is larger than the old number so it is an increase.
Percent increase is new - original divided by original times 100%
Percent increase = (1.02 xy - xy)
----------------- * 100%
xy
= .02 xy
------- * 100 %
xy
= .02 * 100 %
= 2%
Answer:
Step-by-step explanation:
We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.
The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...
Sean's workplace is located 20 km from his home.
__
Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...
(20 km)/(1 h) = 20 km/h
Sean's speed driving to work was 20 km/h.
__
Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...
(10 km)/(2 h) = 5 km/h
Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.
_____
<em>Additional comment</em>
The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)
While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.