Idk exactly what those angles are called. I think supplementary interior. Which means they add up to 180°
So, (4x-2)+(6x-8)=180
Simplify. 10x-10=180
Now we need to get x by itself so add 10 to both sides to get 10x=190
Then divide by 10 to get x by itself x=190/10
So x=19
Hope this helped!!!
Average speed for the entire trip, both ways, is
(Total distance) divided by (total time) .
We don't know the distance from his house to the gift store,
and we don't know how long it took him to get back.
We'll need to calculate these.
-- On the trip TO the store, it took him 50 minutes, at 6 mph.
-- 50 minutes is 5/6 of an hour.
-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.
-- The gift store is 5 miles from his house.
-- The total trip both ways was 10 miles.
-- On the way BACK home from the store, he moved at 12 mph.
-- Going 5 miles at 12 mph, it takes (5/12 hour) = 25 minutes.
Now we have everything we need.
Distance:
Going: 5 miles
Returning: 5 miles
Total 10 miles
Time:
Going: 50 minutes
Returning: 25 minutes
Total: 75 minutes = 1.25 hours
Average speed for the whole trip =
(total distance) / (total time)
= (10 miles) / (1.25 hours)
= (10 / 1.25) miles/hours
= 8 miles per hour
Answer: 3.75z+12
For an equivalent expression, lets simplify the equation.
3/4(5z+16)
multiply both '5z' and '16' by 3/4
3.75z+12
Answer:
4,1
Step-by-step explanation:
(x-4)(x-1)
x=4 or x=1
1 litre of 10% solution contains 100mL of iodine
1 litre of 90% solution contains 900mL of iodine
Mixing them will produce 2 litres of solution containing 1000mL of iodine which is 50% iodine.
To produce 8 litres of 50% iodine they can mix 4 litres of 10% and 4 litres of 90%
