The two similar triangles in the figures are:
a) ABC
b) ADE
For triangle ABC, the two sides are x and 6.
For triangle ADE, two corresponding sides are (x+8) and 8
For similar triangles, the ratio of corresponding sides is the same.
So, we can write:
Thus, the value of x will be 24
Answer:
D. $701.50
Step-by-step explanation:
Since we are rounding to the nearest tenth decimal, look in the hundredths place for the number to round up or down with. In this case, it is 9. That means the tenths place would round up to 5.
Answer:
There is a horizontal translation 4 units left, and and vertical translation 1 unit down.
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent function: f(x) = (5)^x
Horizontal translation: 4 units left
Vertical translation: 1 unit down
Reflection about the x-axis: none
Vertical stretch: stretched
Given Data : Length = (7p - 10q) and Breadth = (2p - 9q)
Calculation :
⟹ Perimeter = 2(Length + Breadth)
⟹ Perimeter = 2(7p - 10q + 2p - 9q)
⟹ Perimeter = 2(9p - 19q)
⟹ Perimeter = <em>18p - 38q centimetres</em>
- <u>Answer : 18p - 38q centimetres</u>
Answer:
D. 16°
Step-by-step explanation:
An inscribed angle has half the measure of the arc it subtends.
∠Y = (1/2)XZ = (1/2)(32°)
∠Y = 16°