<span>If the ship started out at -75M and descended to -105M, it traveled 30M. If it then went from -105M to -80M, it traveled 25M vertically. Therefore, the total vertical distance traveled, regardless of direction, was 30 + 25 = 55 meters.
If the kangaroo jumps at 40 km/h, then to travel 2km it would require 2/40 = 1/20 = 0.05 hours. 60*0.05 = 3 minutes. So it would take the kangaroo 3 minutes to go 2 km.</span>
So first, we need to find the measure of x. Let's do that first.
1. You need to find the expression for angle DBC. We can't just have 36 degrees. We need the actual expression.
So, subtract 6x + 5 from 10x - 7. This will give us the expression we need.
→ (10x - 7) - (6x + 5) = 4x - 12
2. Have 36 and 4x - 12 equal each other. This will help us find the value of x.
→ 36 = 4x - 12 ⇒ x = 12 <Hopefully you know how I got that. If not, I solved it by adding 12 on both sides to isolate the variable to get 48 = 4x. Then, I divided both sides by 4 to get 12.>
3. Now we know the value of x. Using the expression 6x + 5, substitute 12 for x.
→ 6 (12) + 5 ⇒ 72 + 5 = 77
Therefore, the measure of angle ABD is 77 degrees.
The law of cosines states that:
c^2=a^2+b^2-2abcosC
You already have all the values for the variables with the exception of x so:
x^2=25+100-100cos60
x=√(125-100cos60)
x=√75
x≈8.66 to nearest one-hundredth...
Because it is 3/4 of the entire bag, set it up as a ratio
3:4 = 4.5:w
<span>
</span>cross mult.
3w= 4.5(4)
3w = 18
divide 3 both sided
18/3=6
w=6
originally there was 6lbs of food.
Answer:
Sum of the angles of a triangle =180
Since the: ECD ~IGH
so: e=i..d=
Step-by-step explanation:
Since the two triangles are equal, then:
E=I=58 ...,D=H=65 ...,C=G=X
Ec = ig. Ed = ih. Cd = gh
Since the sum of the angles of a triangle is 180
Van:
180=I+H+G
180= 58 +65 +X
X= 180-58-65
X= 57
Since the :
Cd = gh
13=X-Y
Y=57 -13
Y=44