Answer: the angle is 35 degrees
The supplementary angle is 145 degrees
Step-by-step explanation:
Supplementary angles are angles whose sum is 180 degrees. This means that if angle x and angle y are supplementary, then the sum of angle x + angle y is 180 degrees.
The given angle measures 110° less than the measure of its supplementary angle.
Let the angle be x degrees and the supplementary angle be y degrees. This means that.
x = y - 110
Recall, sum of supplementary angles is 180 degrees. Therefore,
x + y = 180 - - - - - - - - 1
Substituting x = y - 110 into equation 1, it becomes
y - 110 + y = 180
2y -110 = 180
2y = 180 + 110 = 290
y = 290/2 = 145 degrees
x = y - 110 = 145 - 110
x = 35 degrees
Answer:
96 mph
step by step explanation:
240/2.5
Answer:
Step-by-step explanation:
The motorist drove at a distance of 90km at a constant speed for the first 40km, and then 20 km/hr faster for the rest of the journey.
The whole journey took him 1hr.
Let S denotes the average speed (in km/hr) for the first 40 km.
Hence we get the following relation,
40/S + (90 - 40)/(S + 20) = 1
or 50/(S + 20) = 1 - 40/S = (S - 40)/S
or (S + 20)(S - 40) = 50S or S^2 - 70S - 800 = 0 or (S - 80)(S + 10) = 0
or S = 80 (km/hr) [Ans]
[S cannot be negative value]
Answer:
The first unknown number is 10 the second is 20 and the third is 60
Step-by-step explanation
Since there is six numbers you have to multiply 25 times 6 = 150
Then 15+15+30=60
150-60= 90
10+20=30
30 times 2 equals 60
30+60=90
90+60= 150
150 divided by 6 = 25
Answer:
(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)
Step-by-step explanation:
We want to represent the value of this number using expanded notation
Mathematically, that will be;
(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)
= 300,000 + 0 + 4000 + 0 + 50 + 6
= 304,057
