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azamat
3 years ago
14

Calculate

2B%20%5Cfrac%7B8%7D%7B12%7D%20%20%20" id="TexFormula1" title=" \frac{24}{6}+ \frac{4}{3}+ \frac{12}{2}+ \frac{8}{12} " alt=" \frac{24}{6}+ \frac{4}{3}+ \frac{12}{2}+ \frac{8}{12} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
IgorC [24]3 years ago
3 0
\boxed{\displaystyle{ \frac{24^{(2}}{6} +\frac{4^{(4}}{3} + \frac{12^{(6}}{2} + \frac{8}{12} = }} \\ \\ \boxed{\displaystyle{ \frac{48}{12}+ \frac{16}{12}+ \frac{72}{12}+ \frac{8}{12}= \frac{168}{12}=\ }} \\ \\ \\\\\huge\text{The answer is 168/12 !}
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Match the following reasons with the statement givem
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Answer:

AAS(Angle-Angle-Side) postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent

In triangle RAS and triangle QAT

\angle R =\angle Q   [Angle]

AS =AT    [Side]                                       [Given]

By Base Angle Theorem states that in an isosceles triangle(i.e, AST), the angles opposite the congruent sides(AS =AT) are congruent.

⇒ \angle 5= \angle 6      [By base ∠'s of isosceles triangle are equal]

By definition of supplementary angles, if two Angles are Supplementary when they add up to 180 degrees.

\angle 4, \angle 5 are supplementary and \angle 6, \angle 7 are supplementary.

⇒\angle 4+ \angle 5 =180^{\circ} and

\angle 6+ \angle 7 =180^{\circ}  

Two \angle 's supplementary to equal \angle 's

\angle 4+ \angle 5 =\angle 6+ \angle 7

Since,  \angle 5 =\angle 6  

then, we get;

\angle 4 =\angle 7  [Angle]

then, by AAS postulates,

\triangle RAS \cong \triangle QAT

By CPCT[Corresponding Part of Congruent Triangles are equal]

RS = QT              Hence Proved!

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4 years ago
The table shows the time a patient spends at the dentist and the amount of the bill. A 2-column table with 4 rows. The first col
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The correlation coefficient for the data in the table was found to be 0.93.

The correct option is A.

<h3>What is the correlation coefficient?</h3>

The correlation coefficient focuses on the linear relationship between two variables.

Given

The first column is labeled time spent at the dentist (in hours) with entries 1.4, 2.7, 0.75, 1.6.

The second column is labeled bill amount (in dollars) with entries 235, 867, 156, 215.

The numbers between -1 and 1 should be one of the values related to the bill.

Taking the independent variable or input variable as, the time a patient spends at the dentist and the dependent variable or output variable as the amount of the bill.

Hence, The correlation coefficient for the data in the table was found to be 0.93.

To know more about correlation coefficient click the link given below.

brainly.com/question/26197675

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