Answer:
Step-by-step explanation:
-23 = x - 23
+23. +23
0 = x
Answer:
<h3> A. Dilation and reflection</h3>
Step-by-step explanation:
There are the same angles in similar triangles but sides not necessarily.
In congruent triangles there are the same angles and the same sides.
Reflection, rotation or translation changes only position of triangle or mirrors it. Doesn't change the size, so the created triangle is congruent.
Answer:
Infinite many solutions
Meaning there is more than one solution
Hope this helps!
Let me know if this is right.
Answer:
a. H0:μ1≥μ2
Ha:μ1<μ2
b. t=-3.076
c. Rejection region=[tcalculated<−1.717]
Reject H0
Step-by-step explanation:
a)
As the score for group 1 is lower than group 2,
Null hypothesis: H0:μ1≥μ2
Alternative hypothesis: H1:μ1<μ2
b) t test statistic for equal variances
t=(xbar1-xbar2)-(μ1-μ2)/sqrt[{1/n1+1/n2}*{((n1-1)s1²+(n2-1)s2²)/n1+n2-2}
t=63.3-70.2/sqrt[{1/11+1/13}*{((11-1)3.7²+(13-1)6.6²)/11+13-2}
t=-6.9/sqrt[{0.091+0.077}{136.9+522.72/22}]
t=-3.076
c. α=0.05, df=22
t(0.05,22)=-1.717
The rejection region is t calculated<t critical value
t<-1.717
We can see that the calculated value of t-statistic falls in rejection region and so we reject the null hypothesis at 5% significance level.
The measure of angle D in the inscribed triangle is as follows;
∠D = 63 degrees
<h3>How to solve circle theorem?</h3>
The circle theorem can be use to find the ∠D as follows;
The triangle BCD is inscribed in the circle.
Using circle theorem,
The angle of each triangle is double the angle of the arc it create.
Therefore,
arc BC = m∠D
m∠B = 134 / 2 = 67 degrees.
Therefore, using sum of angles in a triangle.
67 + 50 + m∠D = 180
m∠D = 180 - 50 - 67
m∠D = 63 degrees.
learn more on circle theorem here: brainly.com/question/19906313
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