The grid markings are the same distance apart in the x- and y-directions, so a line with slope 1 will make a 45° angle with the x-axis. Your line is steeper than that, so has a slope more than 1.

Your line goes up to the right, so its slope is positive.

The only answer choice that is a positive number more than 1 is ...

... C. 2

_____

The slope is computed as the ratio of rise (vertical change) to run (horizontal change). The two marked points tell you the vertical change is from y=-4 to y=6, a change of 6-(-4) = 10. The horizontal change is from x=1 to x=6, a change of 6-1 = 5.

Then the ratio of rise to run is 10/5 = 2. This matches answer C.

6 0

3 years ago

Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Ghella [55]

Answer:

Step-by-step explanation:

None of the angles in the two triangles match, so it is impossible for them to be congruent.

3 0

2 years ago

*Write An inequality then solve for the width.* The length of a rectangle is 12 more than its width. what values of the width wi

Sonbull [250]

Let $x$ be the width of the rectangle, so the length will be $12+x$ .
Now, to find the perimeter of our rectangle, we are going to use the formula for the perimeter of a rectangle formula: $P=2(w+l)$
where
$P$ is the perimeter
$w$ is the width
$l$ is the length

We know that $w=x$ and $l=12+x$ , so lets replace those values in our formula:
$P=2(x+12+x)$
$P=2(2x+12)$
$P=4x+24$

We want <span>values of the width that will make the perimeter less than 96 feet, so lets set up our inequality:
</span> $4x+24\ \textless \ 96$
$4x\ \textless \ 72$
$x\ \textless \ \frac{72}{4}$
$x\ \textless \ 18$
<span>
Since the width can't be zero, we can conclude that the values </span>of the width that will make the perimeter less than 96 feet are: $0\ \textless \ x\ \textless \ 18$ or in interval notation: (0,18)

4 0

3 years ago