3 packages of cups and 4 packages of napkins assuming that all 60 shows up 3×24=72 4×18=72 plenty with Xtra
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:
The answer would be 5.
Step-by-step explanation:
If you take away 18 from 90 would be 72.
72 - 18 =54
54 - 18 =36
36 - 18 =18
18 - 18 =0
If you count that would equal 5 .
Hope this helps .
Answer:
101 students
since a whole circle is 360 degrees just subtract 259 from 360
Answer:
An acute angle is greater than 0 and less than 90
Step-by-step explanation:
An acute angle is greater than 0 and less than 90
A right angle is 90 degrees
An obtuse angle is greater than 90 and less than 180