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Umnica [9.8K]
3 years ago
10

1. Explain how you can use a strightedge and a compass to construct an angle that is both congruent and adjacent to a given angl

e.
2. When constructing a perpendicular bisector, why must the compass opening be greater than 1/2 the length of the segment?

3. When constructing an angle bisector, why must the arcs intersect?

Please answer all questions.
Mathematics
1 answer:
andrew11 [14]3 years ago
5 0
1: if u use the same measures they will be congruent angles.
2: because the segment is being cut in half.
3: their has to be an intersection in the arcs<span />
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It takes Mark 3 minutes to make 1 1/2 inches of a bracelet. If he works at the same speed, how many minutes will it take him to
RUDIKE [14]

Answer:

  24 minutes

Step-by-step explanation:

Working at the same speed, the ratio of time to length is the same:

  time/length = t/12 = 3/(1.5)

  t = 12(3/1.5) = 12(2) = 24

It will take Mark 24 minutes to make a 12-inch bracelet.

7 0
3 years ago
Help plz...................................
N76 [4]

Answer:

12

Step-by-step explanation:

These are similar triangles, so the ratio of their sides is the same for each side.

AB = 8  and  BD = 10

So, the ratio is 8:10   or   4:5

Because the triangles are similar....

The ratio of AC:CE  is also  4:5

12:15 = 4:5

So, 12 is the answer!

8 0
3 years ago
Translate the phrase to an algebraic expression “half of a number”
telo118 [61]

Answer:

1/2x or x/2

Step-by-step explanation:

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5 0
3 years ago
Determine an appropriate domain of the function. Identify the independent and dependent variables. A stone is thrown vertically
Artemon [7]

Answer:

the domain of the function = [0,12]

Step-by-step explanation:

Given that:

f(t) = 60 t - 5t²

at time t = 0

f(0) = 60 (0) - 5(0)²

f(0) = 0

the differential of f(t) is:

f(t)' = 60 - 10t

for the maximum height

f'(t)  = 0

i,e

60 - 10t = 0

60 = 10t

t = 60/10

t = 6

Now, t = 6,

f(6) = 60(6) - 5(6)²

f(6) =  360  - 180

f(6) = 180

Hence, after 6 seconds, the stone is noticed to have raise to 180 m and 180 m drop after 6 seconds.

Hence, the domain of the function = [0,12]

6 0
3 years ago
A TRAILMIX RECPE CALLS FOR 1/3 POUND OF MIXED NUTS, 4/15 POUND OF RAISINS, AND 2/5 POUNDS OF GRANOLA. WHAT IS THE RATIO OF RAISI
allochka39001 [22]
Find the ratio of 4/15 lb to 1/3 lb:

4
--
15
-------
1
--
3

Invert the divisor (1/3) and multiply:

4        3
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15      1
8 0
3 years ago
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