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snow_lady [41]
3 years ago
15

If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm

.
Mathematics
1 answer:
Juliette [100K]3 years ago
5 0
<span>A midpoint divides a line or a segment into two equal parts. If D is the midpoint of the segment AC and C is the midpoint of segment DB, what is the length of the segment AB, if AC = 3 cm.</span>

 

If D is the midpoint of AC, then AD=DC

If C is the midpoint of DB, then DC=CB

If AC=3cm. then then DC-3/2=1.5

If DC=1.5 then CB is 1.5 also

AB=AC+CB

AB=3+1.5

AB=4.5

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A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an
mr Goodwill [35]

Answer:

The length of rope is 20.0 ft . Hence, <u>option (1) </u> is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft  and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}

\sin C=\frac{AB}{AC}

Putting values,

\sin 30^\circ} =\frac{10}{AC}

We know, \sin 30^\circ}=\frac{1}{2}

\frac{1}{2} =\frac{10}{AC}

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, <u>option (1)</u> is correct.

8 0
3 years ago
Read 2 more answers
Someone please help me. ASAP
gizmo_the_mogwai [7]

Answer: x=10

Step-by-step explanation:

1/5(x-2)=1/10(x+6)

1/5x -2/5=1/10x + 6/10

        +2/5             +2/5

1/5x =1/10x + 1

-1/10   -1/10  

1/10x= 1    divide both sides by 1/10

x= 10

3 0
3 years ago
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Akimi4 [234]
The last one. The starting temperature was 82°
4 0
3 years ago
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Maru [420]

Answer:

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3 0
2 years ago
At 7:00pm one evening, the temperature was -8°F. At 6:00am the next morning me
OleMash [197]

Answer:

B mark me brainliest!!!!?

Step-by-step explanation:

It increased 37 F

A) -8-|25| is -8-25 which is -37 it didn’t decrease lol!

B) |-8-25| is |-37| which is 37 which is the answer

C) -37 nope

D) 8-25 is not 37 so the answer is B

4 0
3 years ago
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