Answer: x==y
Step-by-step explanation:
"X is equal to Y", prefaced with e.g. "if" or "when" would be unambiguously used to indicate a check for equality, as in "x == y".
We know that
The subtraction property of equality<span> tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same
that means
if a=b and c=d
a-c=b-d
</span>then
<span>−8x+4y=0----------> equation 1
a=(-8x+4y) b=0
−8x+7y=6----------> equation 2
c=(-8x+7y) d=6
therefore
</span>
(-8x+4y)-(-8x+7y)=0-6
-8x+4y+8x-7y=-6
-3y=-6
the answer is the option
Subtraction Property of Equality
We use the chi-square distribution when making inferences about a single population variance.
Short Description of Chi-Square Distribution
The continuous probability distribution known as the chi-square distribution. The number of degrees of freedom (k) a chi-square distribution has determines its shape. This type of sampling distribution has a variance of 2k and a mean equal to its number of degrees of freedom (k). The range is of a chi-square distribution is from 0 to ∞.
Variance plays a key role in the analysis of risk and uncertainty. The sample variance, an unbiased estimator of population variance, is expressed by the following formula of core statistic for a sample size 'n' and Y' as the sample mean:
S² = ∑(Yₓ - Y') / (n-1)
The formula, (n-1)S² / σ² has the central chi-square distribution as χ²ₙ₋₁. Here (n-1) represents the degrees of freedom.
Learn more about chi-square distribution here:
brainly.com/question/13857280
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It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.
Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC
⇒ Angle ABC = Angle ABD + Angle DBC
Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree
Let angle ABD be x
⇒ Angle ABC = 3x-1
Also, Angle ABC = Angle ABD + Angle DBC
Substituting the values in the above equations
⇒ 3x-1 = x+47
⇒ 2x = 48
⇒ x = 24
So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree
