Answer:
The angles are supplementary. X = 31
Step-by-step explanation:
The angles sum to equal 180 degrees, menaing they are supplementary. Add the degrees of each side 3x + 25 + 2x = 180 and solve for x. X should equal 31.
Answer:
Step-by-step explanation:
A shopper paid $2.52 for 4.5 pounds of potatoes. This means that the unit price for each potato would be
2.52/4.5 = 0.55556
Approximately $0.6 per pound.
The shopper paid $7.75 for 2.5 pounds of broccoli. This means that the unit price for each broccoli would be
7.75/2.5 = $3.1 per pound.
The shopper paid $2.45 for 2.5 pounds of pears. This means that the unit price for each pear would be
2.45/2.5 = $0.98 per pound
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
X=72 cause 180-(51+57) so 180-108 and the triangle is acute cause all of the angle measures are below 90 degrees.
So your answer is
x=72
Acute Triangle