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Dvinal [7]
2 years ago
8

Find the slope of the line that passes through each pair of points. Express as a

Mathematics
1 answer:
Fiesta28 [93]2 years ago
8 0
Use the formula m = y2 - y1 / x2 - x1
-2 - 3 / 7 - 4
-5 / 3
the slope of the line in simplest form is -5/3
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What is the length of a diagonal cube with a side length of 10cm?
Blizzard [7]

Answer:

Step-by-step explanation:

diagonal=\sqrt{10^2+10^2}

diagonal=\sqrt{200}

diagonal=14.1421356

5 0
3 years ago
Which expression is equal to 13 more than the quotient of n and 8
Juli2301 [7.4K]

Answer:

(n/8)+13

Step-by-step explanation:


6 0
3 years ago
Given:• PQRS is a rectangle.• mZ1 = 50°Р21SRWhat is mZ2?130°85°70°65°
Over [174]

To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"

Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.

Now, we have to recall that:

- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles

- also the sum of all the angles in any triangle is 180 degrees

Now, considering the isosceles triangle OQR, we have that:

\angle OQR+\angle ORQ+\angle ROQ=180^o

Now, since the figure already shows that angle m\angle2+\angle ORQ+50^o=180^oNow, since we have established that the base angles m\angle2+m\angle2+50^o=180^owe can now solve the above equation for m<2 as follows:

\begin{gathered} m\angle2+m\angle2+50^o=180^o \\ \Rightarrow2m\angle2+50^o=180^o \\ \Rightarrow2m\angle2=180^o-50^o \\ \Rightarrow2m\angle2=130^o \\ \Rightarrow m\angle2=\frac{130^o}{2}=65^o \end{gathered}

Therefore, the correct answer is: option D

7 0
1 year ago
Solve it by substitution method:- 5x - 6y=-9 and 3x + 4y= 25
user100 [1]
\left\{\begin{array}{ccc}-5x-6y=-9&/\cdot2\\3x+4y=25&/\cdot3\end{array}\right\\+\left\{\begin{array}{ccc}-10x-12y=-18\\9x+12y=75\end{array}\right\\------------\\.\ \ \ \ \ \ \ -x=57\\.\ \ \ \ \ \ \ \ \ x=-57\\\\3\cdot(-57)+4y=25\\-171+4y=25\\4y=25+171\\4y=196\ \ \ \ /:4\\y=49\\\\Solution:x=-57;\ y=49.
8 0
3 years ago
A businessperson is charged a $4.96 monthly finance charge on a bill of $283.15.
gladu [14]

Answer:

  1.75%

Step-by-step explanation:

The monthly interest rate is the interest amount divided by the base on which it is computed, expressed as a percentage.

  $4.96/$283.15 × 100% ≈ 1.75172% ≈ 1.75%

3 0
2 years ago
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