Answer:
32/9
Step-by-step explanation:
Translating the word problem into a symbolic equation yields:
3n - 3 = 5/6
Solve this for the number (n):
Multiplying both sides of this equation by 6 clears out the fraction term:
18n - 18 = 5
Adding 18 to both sides isolates 18n: 18n = 23
Then the number is n = 23/18, and:
one more than twice this number n is 2(23/18) + 1, or:
46/18 + 18/18, or 64/18, or (reducing this result)
32/9
If one raw contains 3x-2 trees & if the total trees in the rectangle are 24x-16, that means Horizontal Rows x Vertical Rows =Total number of trees:
(3x-2) * Vertical Rows = 24x-16 ===> Vertical Rows =(24x-16) / (3x-2)
Perform the division & you will find Vertical Rows =8
If the difference is a constant, the difference is : (60-18)/(11-4)=42/7=6
We know that
<span>If the slope of the angle from the vertex is positive, then it is an angle of elevation.</span>
<span>If the slope of the angle from the vertex is negative, then it is an angle of depression.</span>
The angle of elevation is congruent to the angle of depression because they are alternate interior angles
in the picture
∠ 1 is the angle of elevation from submarine to the boat
∠2 is the angle of depression from boat to submarine
∠3 is the angle of elevation from boat to the lighthouse
∠4.is the angle of depression from the lighthouse to the boat
therefore
the answer is
∠2 is the angle of depression from boat to submarine
Answer:
a=35 given
b=40
c=110
I couldn't complete see c. Please look at the picture to see what I assumed it to be.
Step-by-step explanation:
Hmmm... I guess a and b are not vertical.
We are given b=180-4a and a=35 so b=180-4(35)=180-140=40.
So b=40.
Isosceles triangles always have congruent base angles. So let's call both of the base angles in the bottom triangle x.
That means x+x+40=180.
We need to solve this for x.
Combine like terms:
2x+40=180
Subtract 40 on both sides:
2x=140
Divide both sides by 2:
x=140/2
Simplify:
x=70
So I'm assuming that c and it's adjacent angle are sitting on a straightedge together which means 70+c=180.
70+c=180
Subtract 70 on both sides:
c=180-70
Simplify:
c=110
