Answer:
Because the triangle is isosceles, the base angles are congruent. Since the sum of angles in a triangle is 180° we can write:
24 + x + x = 180
24 + 2x = 180
2x = 156
x = 78°
Answer:
32/100 or 8/25
Step-by-step explanation:
0.32 is in the hundredths place so it’s the same as 32/100
this can be simplified to 8/25 if you divide the top and bottom by 4
Answer:10
Step-by-step explanation:
Each exterior angle is (3x + 6)°
A decagon has 10 sides
Each exterior angle=360/n
n=number of sides
3x+6=360/10
Cross multiply
10(3x + 6)=360
30x+60=360
Collect like terms
30x=360-60
30x=300
Divide both sides by 30
30x/30=300/30
x=10
Answer:
Step-by-step explanation:
d = r * t
Let the rate of the boat in still water = x
Let the rate of the stream = y
Against the current
24 = (x - y)* 4 Divide both sides by 4
24/4 = x - y
6 = x - y
With the current
24 = (x + y )* 3 Divide both sides by 3
24/3 = (x + y)
8 = x + y
Put the two equations together
x - y = 6
<u>x + y = 8</u> Add
2x = 14 Divide by 2
2x/2 = 14/2
x = 7
x + y = 8
7 + y = 8
y = 8 - 7
y = 1
The boat is going 7 miles per hour
The stream is going 1 mile per hour.
