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quester [9]
3 years ago
5

Angle PSR measures 99°.

Mathematics
1 answer:
Maru [420]3 years ago
7 0

Answer:

45

Step-by-step explanation:

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A real estate agent earned commission of $8,785 for selling a house. If his rate is 7%, find the selling price of the house.
VladimirAG [237]

Answer:

$125,500

Step-by-step explanation:

Make "x" equal the selling price of the house

7% of x is the commission --->

.07 * x = 8785

x= 8785/ .07

x= 125500

8 0
3 years ago
What is overlapping set​
Westkost [7]

Answer:

two sets are said to be overlapping if they contain at least one element in common A=(1,2,3,4)and B =(4,7,1,9)are said to be overlapping sets.

Step-by-step explanation:

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6 0
3 years ago
Write the number 1.665 × 10-1 in standard form.
saveliy_v [14]
0.1665 is standard form
5 0
2 years ago
Determine whether parallelogram JKLM with vertices J(-7, -2), K(0, 4), L(9, 2) and M(2, -4) is a rhombus, square, rectangle or a
White raven [17]
Check the picture below

now, we know is a parallelogram, so the diagonals will bisect

looking at the picture, the interior angles are not right-angles, and thus is not a rectangle, and is not a square either, due to the same reason

is it a rhombus?  well, a rhombus, is a parallelogram, that's "slanted" per se, but regardless of how slanted it may be, the sides are all equal

now, we don't need to check the length of both pairs, just one of the segments of each pair, let's check only then JK and KL, the ones in red in the picture, since each pair of segments are twin, if JK = KL, then that means all sides are equal

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
J&({{-7 }}\quad ,&{{ -2}})\quad 
%  (c,d)
K&({{ 0}}\quad ,&{{ 4}})\\\\
K&({{ 0}}\quad ,&{{ 4}})\quad 
%  (c,d)
L&({{ 9}}\quad ,&{{ 2}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
JK=\sqrt{[0-(-7)]^2+[4-(-2)]^2}\implies JK=\sqrt{(0+7)^2+(4+2)^2}
\\\\\\
JK=\sqrt{7^2+6^2}
\\\\\\
KL=\sqrt{(9-0)^2+(2-4)^2}\implies KL=\sqrt{9^2+(-2)^2}

now... another characteristic of a rhombus is, the diagonals, meet at right-angle, that means KM ⟂ JL

and that simply means, if you get the slope of KM and the slope of JL, the product of their slope is -1

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
K&({{ 0}}\quad ,&{{ 4}})\quad 
%   (c,d)
M&({{ 2}}\quad ,&{{ -4}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-4-4}{2-0}

\bf -------------------------------\\\\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
J&({{ -7}}\quad ,&{{ -2}})\quad 
%   (c,d)
L&({{ 9}}\quad ,&{{ 2}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{2-(-2)}{9-(-7)}\implies \cfrac{2+2}{9+7}

then multiply both slopes, if their product is -1, that means, they're perpendicular to each other, and it IS a rhombus only, then.

7 0
3 years ago
Read 2 more answers
Use the model to find 2/4 x 16
emmasim [6.3K]

Answer:

8

Step-by-step explanation:

Reduce the fraction to 1/2 then multiply it by 8 which is 8:) this this helps! Plzz mark brainliest

5 0
2 years ago
Read 2 more answers
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