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densk [106]
3 years ago
10

Which of the following represent the length of a diagonal of this trapezoid?

Mathematics
1 answer:
wariber [46]3 years ago
8 0

Answer:

\sqrt{\left(a+b\right)^{2}+c^{2}}

Step-by-step explanation:

The distance between the line joining points A (<em>-b, c</em>) and C (<em>a, o</em>) will be the length of the diagonal of given trapezoid.

Now, x_{1} = - b,\ y_{1} = c\ and\ x_{2} = a, y_{2} = 0

Now, using distance formula,

AC = \sqrt{\left (x_{2}-x_{1}\right )^{2}+\left (y_{2}-y_{1}\right )^{2}}

AC = \sqrt{\left(a-(-b) \right)^{2}+\left(0-c\right)^{2}}

AC = \sqrt{\left(a+b\right)^{2}+\left(-c\right)^{2}}

AC = \sqrt{\left(a+b\right)^{2}+c^{2}}

Therefore, the length of diagonal AC of trapezoid = \sqrt{\left(a+b\right)^{2}+c^{2}}

So, option (4) is the right option.

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Tasya [4]

Answer:

20

Step-by-step explanation:

20 is the lowest common multiple

7 0
3 years ago
The temp fell 3 degrees every hour for 5 hours what's the change in temperature​
jarptica [38.1K]

Answer:

-15

Step-by-step explanation:

If it fell 3 deg every hour for 5 hours so the equation is 3*5 plus a - sign because it dropped degrees

8 0
3 years ago
Can you answer this one please
creativ13 [48]

Answer:

50⁰

Step-by-step explanation:

Since j and k are parallel lines cut by two transversals,

2+3+5=180⁰ <em>(</em><em>Allied</em><em> </em><em>angles</em><em>)</em>

We are given 2(60⁰) and 5(70⁰)

so,

60⁰+3+70⁰=180⁰

60+70=130

130⁰+3=180⁰

Bring the 130⁰ to the R.H.S

3=180⁰-130⁰

Therefore,

3=50⁰

6 0
2 years ago
Can someone please please help me :/ I have to get this right. please help​
Vladimir [108]
<h3>Answer: Choice B. f(x) = 100 - 68x</h3>

Work Shown:

Solve for y. Then replace y with f(x).

680x + 10y - 1000 = 0\\\\10y - 1000 = -680x\\\\10y = -680x + 1000\\\\y = \frac{-680x + 1000}{10}\\\\y = \frac{-680x}{10} + \frac{1000}{10}\\\\y = -68x + 100\\\\y = 100 - 68x\\\\f(x) = 100 - 68x\\\\

Effectively this involves adding 1000 to both sides and subtracting 680x from both sides, afterward we divide both sides by 10 to isolate y.

4 0
3 years ago
Read 2 more answers
5. What is the simplest way to write
inysia [295]

Answer:

2m+3r-2x-2y

Step-by-step explanation:

2m+3r=2m+3r

-2×x=-2x

-2×y=-2y

answer=2m+3r-2x-2y

6 0
3 years ago
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