10 Numeric 1 point In parallelogram MATH, MH $$ =3 x-7 $$, and $$ A T=2 x+1 $$. Find the value(s) of $$ x $$. DRAW A PICTURE AND LABEL IT. SHOW WORK TO JUSTIFY YOUR ANSWER! Type your answer...

Question

UpStudy AI · Accepted Answer

1. In parallelogram MATH, opposite sides are equal. Since side $$ MH $$ is opposite side $$ AT $$, we have:
   $$
   3x - 7 = 2x + 1
   $$

2. Subtract $$ 2x $$ from both sides:
   $$
   x - 7 = 1
   $$

3. Add 7 to both sides:
   $$
   x = 8
   $$

4. Therefore, the value of $$ x $$ is $$ 8 $$.

5. Diagram of Parallelogram MATH:

$$
   \begin{array}{ccc}
       & A \quad \quad \quad \quad T \
       & \quad \quad \quad \quad \quad \quad \quad \
       M \quad \quad \quad \quad \quad \quad H \
   \end{array}
   $$

- Label side $$ AT $$ (top side) with $$ 2x+1 $$.
   - Label side $$ MH $$ (diagonally opposite to $$ AT $$) with $$ 3x-7 $$.

(The diagram represents the parallelogram with vertices $$ M $$, $$ A $$, $$ T $$, and $$ H $$; note that the positions imply that opposite sides $$ MH $$ and $$ AT $$ are equal.)

Thus, $$ x = 8 $$ is the solution.
$$ x = 8 $$.

10 Numeric 1 point In parallelogram MATH, MH \( =3 x-7 \), and \( A T=2 x+1 \). Find the value(s) of \( x \). DRAW A PICTURE AND LABEL IT. SHOW WORK TO JUSTIFY YOUR ANSWER! Type your answer...

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Geometry Questions