Answer:
x = 80.96
Step-by-step explanation:
9x * 3x +1 = 2187
27x +1 = 2187
27x = 2187-1
27x = 2186
x = 2186/27 = 80.96(2dp)
Step-by-step explanation:
X= raspberry
X = 600 ÷ 11 = 54 batches
[ 60 minutes = 1 hour]
[600 minutes = 10 hours]
Y = peach
Y = 600 ÷ 8 = 75 batches
The angles of ∠EFG and ∠GFH are 71° and 109°
<h3>What are linear pair angles?</h3>
Linear pair of angles are formed when two lines intersect each other at a single point.
In other words, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.
Linear pair angles are supplementary. This means the sum of a linear pair angles is 180 degrees.
Therefore,
∠EFG + ∠GFH = 180
Therefore,
∠EFG = 4n + 15
∠GFH = 5n + 39
hence,
4n + 15 + 5n + 39 = 180
9n + 54 = 180
9n = 180 - 54
9n = 126
n = 126 / 9
n = 14
Hence,
∠EFG = 4n + 15 = 4(14) + 15 = 71°
∠GFH = 5n + 39 = 5(14) + 39 = 109°
learn more on linear pair angles here: brainly.com/question/28264317
#SPJ1
Answer: (12) ∠1 = 20° (13) ∠2 = 50° (14) ∠3 = 15° (15) UV = 80° (16) AB = 40° (17) ABC <em>or</em> 180° - CD (18) BC - 140° (19) ABC = 150°
<u>Step-by-step explanation:</u>
12)
(UV - ST) = ∠1
(80 - 40) = ∠1
(40) = ∠1
20 = ∠1
13)
(UV + ST) = ∠2
(70 + 30) = ∠2
(100) = ∠2
50 = ∠2
14)
(VB - BS) = ∠3
(60 - 30) = ∠3
(30) = ∠3
15 = ∠3
15)
(UV - ST) = ∠1
(UV - 20) = 30
UV - 20 = 60
UV = 80
16) ∠1 = arc AB
∠1 = 40
arc AB = 40
17) arc AB + arc BC = arc AC
= 180 = arc CD
18) ∠1 + ∠2 + ∠3 = 180
20 + ∠2 + 20 = 180
∠2 + 40 = 180
∠2 = 140
19) ∠1 + ∠ 2 = arc ABC
∠1 + ∠2 + ∠3 = 180
arc ABC + 30 = 180
arc ABC = 150
Outliers are data that are in a very far distance from other values in a set of data
Once an outlier is detected in a set of data, we can do the following to them:
- Discard the outlier
- Change the value of the outlier with another value within close range
- Consider the distribution given
We may have a set of data where some of the <em>values are far in distance from the majority of the data</em>. The set of such data are known as an outlier.
For example, give the set of data;
45 can be considered as an outlier since the <em>distance of data</em><em> to all other data is</em><em> large</em><em>.</em>
Once an outlier is detected in a set of data, we can do the following to them:
- Discard the outlier
- Change the value of the outlier with another value within close range
- Consider the distribution given
Learn more here: brainly.com/question/23258173