Answer:
ok
Step-by-step explanation:
what do u mean by the simplest form?
8/100, 3/5, 7/10
Explanation:
8/100 = 0.08
3/5 = 0.6
7/10 = 0.7
Answer:
Value of x is, 8
Step-by-step explanation:
Given:
,.....[1]
To find the value of x:
Using exponent rules:
Taking square both sides in [1] we have;

Simplify:

or

Multiply both sides by
we get;

Simplify:

or

Simplify:
x = 8
Therefore, the value of x is, 8
The length of DZ is 4 units ⇒ 3rd answer
Step-by-step explanation:
Triangle X Y Z is cut by line segment C D, where
- C lies on side XY and D lies on the side YZ
- The length of C D is 15
- The length of X Z is 18
- The length of C Y is 25
- The length of Y D is 20
- C D and X Z are parallel
- CX = 5 units
We need to find the length of DZ
In Δ XYZ
∵ C ∈ XY and D ∈ YZ
∵ CD // XZ
∴ m∠YCD = m∠YXZ ⇒ alternate angles
∴ m∠YDC = m∠YZX ⇒ alternate angles
In Δs YCD and YXZ
∵ m∠YCD = m∠YXZ
∵ m∠YDC = m∠YZX
∵ ∠Y is a common angle
∴ Δ YCD is similar to Δ YXZ by AAA postulate
- There is a constant ratio between their corresponding sides
∴ 
∵ YC = 25 units
∵ CX = 5 units
∵ YX = YC + CX
∴ YX = 25 + 5 = 30 units
∵ YD = 20 units
∵ YZ = YD + DZ
∴ YZ = 20 + DZ
Let us use the ratio of the corresponding side
∵ 
∴ 
- Simplify
by dividing up and down by 5
∵ 
∴ 
- By using cross multiplication
∴ 5(20 + DZ) = 6(20)
∴ 100 + 5 DZ = 120
- Subtract 100 from both sides
∴ 5 DZ = 20
- Divide both sides by 5
∴ DZ = 4 units
The length of DZ is 4 units
Learn more:
You can learn more about triangles in brainly.com/question/3202836
#LearnwithBrainly
Answer:
Option 3
y + 16 = 8(x + 2)
Step-by-step explanation:
<h3>
<u>Given</u>;</h3>
- x = 2, 4, 6, 8
- y = 16, 32, 48, 64
Now, Put the values in equation 1
y – 16 = 8(x – 2)
y – 16 = 8(x – 2)
16 – 16 = 8(2 – 2)
0 = 8
Here, L.H.S ≠ R.H.S
So, Option 1 is incorrect
Now, Put the values in equation 2
y – 16 = 8x – 2
y – 16 = 8x – 2
16 – 16 = 8(2) – 2
0 = 14
Here, L.H.S ≠ R.H.S
So, Option 1 is incorrect
Now, Put the values in equation 3
y + 16 = 8(x + 2)
y + 16 = 8(x + 2)
16 + 16 = 8(2 + 2)
32 = 8(4)
32 = 32
Here, L.H.S = R.H.S
Check other values of x and y
y + 16 = 8(x + 2)
32 + 16 = 8(4 + 2)
48 = 8(6)
48 = 48
Here, L.H.S = R.H.S
y + 16 = 8(x + 2)
48 + 16 = 8(6 + 2)
64 = 8(8)
64 = 64
Here, L.H.S = R.H.S
y + 16 = 8(x + 2)
64 + 16 = 8(8 + 2)
80 = 8(10)
80 = 80
Here, L.H.S = R.H.S
Thus, The equation 3 in point-slope from gives the plant's height at any time.
<u>-TheUnknownScientist 72</u>