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3 years ago

David hikes 2 1/4 miles in 1/2 an hour.What is his rate in miles per hour?

Mathematics

1 answer:

BabaBlast [244]3 years ago

6 0

4 1/2 to get to 2 1/4 miles.

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PLEASE HELP ILL GIVE YOU 50 POINTS

Stella [2.4K]

Answer:

Step-by-step explanation:

D.closed series circuit

3 0

3 years ago

Which inequality is represented by the graph?

Taya2010 [7]

Answer:

Option B

Step-by-step explanation:

Notice that the region of the inequality is bounded by a line.

The first thing to do is find the equation of this line.

Note that the line intersects the x-axis at $x = 3.5$ and intercepts the y-axis at $y = -2.5$

We know that the equation of a line has the following form:

$y = mx + b$

Where m is the slope of the line and b is the intercept with the y axis.

So we already know that:

$b = -2.5 = -\frac{5}{2}$

Then we know that when $x = 3.5$ then $y = 0$

Thus:

$0 = 3.5m -2.5$

Ahroa we clear m.

$m = \frac{2.5}{3.5}\\\\m = \frac{5}{7}$

Then, the equation of the line is:

$y = \frac{5}{7}x -\frac{5}{2}$

We can also multiply by -2 both sides of the equation and we have:

$-2y = -\frac{10}{7}x +5$

Then:

$\frac{10}{7}x -2y =5$

The option that contains this equation is option B.

To verify it, enter a point within the shaded region, such as the point (0,0), in the selected inequality. If the inequality is satisfied then option B is correct

$\frac{10}{7}x -2y\leq5\\\\\frac{10}{7}(0) -2(0)\leq5\\\\0\leq5$

The inequality is satisfied because 0 is less than 5. Then the correct option is B

7 0

3 years ago

Given: angle Q is congruent to angle T and line QR is congruent to line TR

Ainat [17]

3. Two angles and included side (ASA congruence theorem).

Reason: This is because, it is given that angle Q is congruent to angle T and line QR is congruent to line TR. Also, we proved in step 2 that $\angle PRQ\cong\angle SRT$ . Thus, we have two angles and the side included as congruent and thus, the two triangles are congruent.

4. CSCT (Corresponding Sides of a Congruent Triangle)

Reason: PR and SR are the corresponding sides of the congruent triangles $\Delta PRQ$ and $\Delta SRT$ , therefore, by the CSCT these corresponding sides have to be congruent.