If the triangles are similar, the base should be 24 inches. The legs on the first triangle are 12 inches. To get 36 inches (the other triangle), we multiply 12 by 3. 12 x 3 = 36. Because you did that to the legs, you must also do it to the base. 8 x 3 = 24. Therefore, the base of the second triangle is 24 inches.
Answer:
The output H is 20 when the input, x, is -18
Step-by-step explanation:
H= 17 + x/6
When the input, x, is -18 then the output H will be:
H= 17 + 18/6
H= 17 + 3
H = 20
Answer: The output H is 20 when the input, x, is -18
Answer:
The distance between the two train stations is 1728 km
Step-by-step explanation:
The speed of the bus = 54 km/h
The speed of the truck = 48 km/h
When the bus and truck meet again, the distance covered by the bus = 216 km more than he distance traveled by the truck
Let the distance between the two train stations = x
Let the location where they first meet be y from station A we have;
The location where they meet again = y - 216 km
Therefore, we have;
Location where they
The time for the truck and the bus to meet again = t
Therefore, 54 × t - 48 × t = 216 km
6·t = 216 km
t = 36 hours
Therefore, the time for the bus to travel x + 216 km = 36 hours
54 × 36 = 1944 = x + 216
x = 1944 - 216 = 1728 km
The distance between the two train stations = 1728 km.
Answer:
D. y=-3x+8
Step-by-step explanation:
first, get the 12x on the other side of the equation
12x+4y-12x=32-12x
4y=-12x+32
divide the equation by four
y=-3x+8
Hope this helps!
Answer:
x = 19
Step-by-step explanation:
148 and 7x+15 are alternate interior angles and alternate interior angles are equal when the lines are parallel
148 = 7x+15
Subtract 15 from each side
148-15 = 7x+15-15
133 =7x
Divide each side by 7
133/7 =7x/7
19=x