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2 years ago

What is the value of c? 50 100 84

Mathematics

2 answers:

xenn [34]2 years ago

7 0

Answer: The correct option is (C) 84.

Step-by-step explanation: We are to find the value of c from the figure shown.

We see from the figure that

a quadrilateral is inscribed in a circle with opposite pairs of angles with measurements (c° and 96°) and (d° and 100°). So, the given quadrilateral is a cyclic one.

We know that

the sum of the measurements of the opposite angles of a cyclic quadrilateral is 180°.

Therefore, we must have

$c^\circ+96^\circ=180^\circ\\\\\Rightarrow c^\circ=180^\circ-96^\circ\\\\\Rightarrow c^\circ=84^\circ\\\\\Rightarrow c=84.$

Thus, the required value of c is 84.

Option (C) is CORRECT.

kkurt [141]2 years ago

4 0

THE VALUE C IS NUMBER 4 WHICH IS 84 DEGREES WHICH IS AND OBTUSE ANGLE

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Solve the system below using elimination {5x+9y= -10} {7x+10y= -1}

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Answer:

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Step-by-step explanation:

Given~:

Solve the system below using elimination

{5x+9y= -10}

{7x+10y= -1}

Solve:

$\begin{bmatrix}5x+9y=-10\\ 7x+10y=-1\end{bmatrix}$

Isolate x ( 5x + 9y = -10 ) : $\mathrm{x=\frac{-10-9y}{5}}$

Substitute: $\mathrm{x=\frac{-10-9y}{5}}$

$\begin{bmatrix}7\cdot \frac{-10-9y}{5}+10y=-1\end{bmatrix}$

$\begin{bmatrix}\frac{-70-13y}{5}=-1\end{bmatrix}$

Isolate y : $\frac{-70-13y}{5}=1:y=-5$

Substitute: $y=-5$

$x=\frac{-10-9\left(-5\right)}{5}=7$

Hence, $x=7$

Therefore, the solution for $\begin{bmatrix}5x+9y=-10\\ 7x+10y=-1\end{bmatrix}$ are:

$x=7,\:y=-5$

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