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dlinn [17]
10 months ago
13

Given PRQ = XYZ, sketch a diagram and state all corresponding sides and angles.

Mathematics
1 answer:
Kazeer [188]10 months ago
6 0

Given that ΔPQR ≅ ΔXYZ, then the corresponding angles are:

∠P ≅ ∠X

∠Q ≅ ∠Y

∠R ≅ ∠Z

From the picture, the corresponding sides are:

PQ ≅ XY

QR ≅ YZ

RP ≅ ZX

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what is the equation in slope intercept form of the line that goes through (2,4) and is perpendicular to the line represented by
Andrej [43]

Answer:

y = \frac{3x}{2}+1

Step-by-step explanation:

The slope-intercept form of a straight line equation is y = mx + c, where m is the slope and c is the y-intercept of the line.

Now, we know that if two straight lines are perpendicular to each other then the product of their slopes will be -1.

So, the equation of a straight line which is perpendicular to the line y = -\frac{2x}{3} +6 will be y= \frac{3x}{2}+ c' ....... (1), where c' is constant.

Given that the line (1) passes through (2,4) point.

Hence, 4 = \frac{3(2)}{2} +c'

⇒ c' = 1.  

Therefore, the final equation of the required straight line is y = \frac{3x}{2}+1. (Answer)

5 0
3 years ago
Which benchmark angles (multiples of 30 degrees or 40 degrees) are closest to the rotation angles below?
Setler [38]

The benchmark angles are angles that are used as references like- 30 degrees, 45 degrees, 60 degrees, etc.

The closest angles to given rotation angles are:

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B- 140- closest to the multiple of 45 degrees (135 degree).

C- 170- closest to the multiple of 30 degrees (closest to 180 degrees which is multiple of both 30 and 45 degrees).

D- 220 -closest to the multiple of 30 degrees (210 degree).

E- 250- closest to the multiple of 30 degrees (240 degree).

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4 0
3 years ago
Find the range for the set of data 24, 30, 17, 22, 22
OverLord2011 [107]

\huge\text{Hey there!}

\huge\textbf{Question reads....}

\text{Find the range for the set of data 24, 30, 17, 22, 22}

\huge\textbf{What does \boxed{range} mean in math?}

\boxed{Range}\rightarrow\text{is the DIFFERENCE between the biggest number and the}\\\text{smallest number.}

\huge\textbf{How do you find the \boxed{range}?}

\text{You find the biggest number \& subtract it from the smallest number.}

\huge\textbf{Equation:}

\text{24, 30, 17, 22, 22}

\huge\textbf{The \boxed{\mathsf{\mathsf{biggest}}} number }\huge\boxed{\downarrow}

\text{30}

\huge\textbf{The \boxed{\mathsf{\mathsf{smallest}}} number }\huge\boxed{\downarrow}

\text{17}

\huge\textbf{Equation:}

\rm{30 - 17}

\huge\textbf{Simplify it:}

\large\text{Start at 30 and go DOWN 17 spaces to the \boxed{left} and you will}\\\large\text{have your answer. }

\huge\textbf{Therefore, your answer should be:}

\huge\boxed{\mathsf{13}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

<h3>~\frak{Amphitrite1040:)}</h3>
6 0
1 year ago
Read 2 more answers
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