Answer:
Total money = $30,00,000
Step-by-step explanation:
Given:
4/5 money spend on house
3/4 remaining money spend on luxury yacht
2/3 remaining money spend on trip to space
Remaining $50,000 to charity
Find:
Total money
Computation:
Assume Total money = x
So,
Spend on house = [4x/5]
Spend on luxury yacht = [x-4x/5]3/4 = 3x/20
Spend on trip to space = [x/5-3x/20]2/3 = x/30
Remaining money = x/20 - x/30 = x/60 = $50,000
So,
x/60 = $50,000
x = $300,000
Total money = $30,00,000
Answer: w=12, y=6√3
Step-by-step explanation:
Looking at the figure, we can split the triangle into 2 separate triangles. One on the left and one on the left. The triangle on the right is a 30-60-90 triangle. For this triangle, the hypotenuse is 2x in length. This is directly opposite of the right angle. The leg opposite to 30° is x in length. The leg opposite 60° is x√3 in length. Once you know the length of one side, you can plug in x to find the length of the other legs.
In this case, w and y are located on the same 30-60-90 triangle. Normally we would focus on that triangle to find our values, but in this instance, we don't have any values. We have to use the left triangle to find the leg that both triangles share.
The left triangle is a 45-45-90 triangle. For this triangle, the legs opposite of 45° is x in length. The hypotenuse is x√2. Since we know the hypotenuse, we can use it to find x.
x√2=8
x=8/√2
x=5.7 or 6 [Let's use 6 so that it is easier to work with a whole number]
Now that we know x, we can find w and y. Going back to the right triangle, we know the hypotenuse is 2x. We plug in 6 to find the length.
w=2x
w=2(6)
w=12
We know the leg opposite of 60° is x√3. We can plug in x.
y=6√3
I think that the answer is seven but i’m not sure
Answer:
m=2 and b=-8
Step-by-step explanation:
This equation is organized in slope-intercept form, y=mx+b. In this form, m is the slope and b is the y-intercept.
When given the equation, y=2x-8, we can see that 2 is in the place of m and -8 is in the place of b. The reason the y-intercept isn't 8 is that y=2x-8 can be written as y=2x+(-8) since y=mx+b involves addition. Therefore, the slope is 2 and the y-intercept is -8.
m=2 and b=-8
I hope this helps!
Answer:
70
Step-by-step explanation:
well you know that angles in the same segment are equal so angle VWZ also= 38
triangle VWZ is a triangle so the sum of interior angles sums to 180
180-72-38=70
