Answer:
Side length z = 20 m
Angle d = 53°
Step-by-step explanation:
Since ∆ABC ~ GHI, therefore their corresponding side lengths would be proportional to each other. This implies that the ratio of their corresponding lengths are equal.
This also means that the same scale factor can be multiplied with any side length of ∆ABC to get the corresponding side length of ∆GHI.
The scale factor = HI/BC = 25/10 = 2.5
The side length that corresponds to z is AB which is 8 m long.
z = 8*2.5
✅Side length z = 20 m
Corresponding angles of similar triangles are congruent to each other.
Therefore,
✅Angle d = <I = 53°
Answer:
B. √2^5
Step-by-step explanation:
(2^½. 2^¾)²
= 2¹ . 2^(1½)
= 2^(2½)
= 2^(5/2)
=√2^5
Answer:
x=15
Step-by-step explanation:
so we are given one angle 90, although x is used in both so you can add them. We know that the sum of angle measures in a triangle is 180 so the equation is: 90+6x=180
subtract 90 from both sides: 6x=90
divide by 6: x=90/6
simplify: x=15
Answer:
The mean is equal to the median, so the data is symmetrical
Step-by-step explanation:
Here is the data.
10 5 8 10 12 6
8 10 15 6 12 18
The given data: 10 5 8 10 12 6 8 10 15 6 12 18
For finding the Mean, we will have to add all numbers together and divide it by total number. i.e sum of terms divided by number of terms
Mean= 10+5+8+10+12+6+8+10+15+6+12+18 ÷ 12
Mean = 120 ÷ 12 = 10
For finding the Median, first we need to rearrange the data in ascending order
5 6 6 8 8 10 10 10 12 12 15 18
We can see that the middle values are 10 and 10. So, the median will be the average of those two middle values.
Median = 10+10 ÷ 2
Median = 20 ÷ 2 = 10
From the calculation, we can see that both the median and mean are equal so, the data is symmetrical
