see if this helps
definitions
congruent
1.in agreement or harmony
"institutional and departmental objectives are largely congruent"
2. identical in form; coinciding exactly when superimposed.
The measures of the angles are 59 degrees
<h3>How to determine the value of the angles?</h3>
The angles are given as:
Angle 1 = 2x + 17
Angle 2 = 3x - 4
By the interior angle theorem, the angles are congruent
So, we have
Angle 1 = Angle 2
Substitute the known values in the above equation
2x + 17= 3x - 4
Collect the like terms
3x - 2x = 17 + 4
Evaluate the like terms
x = 21
Substitute x = 21 in Angle 1 = 2x + 17
Angle 1 = 2 * 21 + 17
Evaluate
Angle 1 = 59
This means that
Angle 1 = Angle 2 = 59
Hence, the measures of the angles are 59 degrees
Read more about angles at:
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The data set which contains an outlier from the given answer choices is; Choice D; {16, 42, 45, 45, 46, 48}.
<h3>What is an outlier?</h3>
An outlier in a set of data values is a data value which differs significantly from other data points and hence, tends to affect the mean of such set of data values significantly.
On this note, choice D is the set of data values which contains an outlier.
Read more on outliers;
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Answer:
Height of the student=1.651m
Step-by-step explanation:
Given: Height of a student= 65.0 inch.
To find: Height of a student in meters.
Solution:
We know that 1 inch=2.54 cm, then
65.0 inch will be =
65.0 inch will be=
Also, we know that 1cm=
, then
165.2 cm will be equal to=
165.2 cm will be equal to=
Therefore, the height of a student in meters will be 1.651 meters.
Answer:
#1
Remember to match up letter
