Answer:
Step-by-step explanation:
Measures of angles are,
m∠A = (2x)°
m∠B = (x + 14)°
m∠C = (x - 38)°
By triangle sum theorem,
m∠A + m∠B + m∠C = 180°
2x + (x + 14) + (x - 38) = 180
(2x + x + x) + (14 - 38) = 180
4x - 24 = 180
4x = 204
x = 51
m∠A = 2(51)° = 102°
m∠B = (51 + 14)° = 65°
m∠C = (51 - 38)° = 13°
A reflection is a mirror image. Placing the edge of a mirror on the x-axis will form a reflection in the x-axis. This can also be thought of as "folding" over the x-axis.
If the original (parent) function is <span>y = f (x)</span><span>, the <span>reflection over the x-axis </span>is function</span><span> -f (x)</span><span>.</span>
The given sample's confidence interval is 4.73 ± 0.1199, or from 4.61 to 4.85
<h3>What is the z score?</h3>
The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.
Given data;
Mean = 4.73
Standard deviation = 0.865
Sample size = 200
interval = 95%
Confidence interval=?
95% of samples contain the population mean (μ) within the confidence interval of 4.73 ± 0.1199.
Hence, the sample's confidence interval is 4.73 ± 0.1199, from 4.61 to 4.85
To learn more about the Z score, refer to;
brainly.com/question/15016913
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It
is given that the two figures are similar. This means that mV is equal to mN,
mW is equal to mO, and mX is equal to mP. The sum of the angles of a triangle
is equal to 180 degrees.
<span> mV + mW + mX = 180</span>
Substituting
the known variables and the conditions given in the description of the similar
triangles,
<span> 44 + mW + 66 = 180</span>
<span>The
value of mW in the equation is 70 degrees. </span>
