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2 years ago

Use a number line to show the sum of 6 + (–7).

1 answer:

4 0

So there is a rule
(+)(+)=+
(-)(+)= -
(+)(-)= -
So now if you subtract 6 with 7 you will end up having -1 as you’re answer. Hope this helps

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15. Find the length of segment DE of the triangle ABC.

ruslelena [56]

Answer:

Option C. $26\ units$

Step-by-step explanation:

we know that

Triangles ADE and ABC are similar by AA similarity postulate

AB=2AD

Apply proportion

$\frac{AD}{AB}=\frac{8x-6}{12x+4}\\ \\\frac{AD}{2AD}=\frac{8x-6}{12x+4}\\ \\\frac{1}{2}=\frac{8x-6}{12x+4}\\ \\12x+4=16x-12\\ \\16x-12x=4+12\\ \\4x=16\\ \\x=4\ units$

Find the length of segment DE

$DE=8x-6=8(4)-6=26\ units$

4 0

3 years ago

A book falls from a shelf that is 5 feet above the floor. A model for the height h in feet if an object dropped from an initial

Brums [2.3K]

Answer:

About 0.559 seconds

Step-by-step explanation:

The height equation is:

$h=-16t^2+h_0$

Where $h_0$ is the initial height of the book, which is 5, so we can write:

$h=-16t^2+5$

Now, we want time it took for the book to reach ground (h = 0)

So, we substitute h = 0 and solve for t:

$h=-16t^2+5\\0=-16t^2+5\\16t^2=5\\t^2=0.3125\\t=0.5590\\t=0.559$

It took about 0.559 seconds for the book to reach the ground

5 0

3 years ago

A circle has a radius of 6 in. The circumscribed equilateral triangle will have an area of:

Ket [755]

Answer:

216

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

HELP! Which triangles are congruent?

kati45 [8]

9514 1404 393

Answer:

4. A, B, C, and D

Step-by-step explanation:

Each right triangle has a short leg of 3 units and a long leg of 4 units. They are all congruent by the SAS congruence postulate.

8 0

2 years ago

Which is an equation, in point-slope form, of a line that passes through the points (2,9) and (4,5)?

Elodia [21]

Only two of them are the correct answers to this question.

5 0

2 years ago