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Nikolay [14]
3 years ago
8

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

Mathematics
2 answers:
kodGreya [7K]3 years ago
8 0

Answer:

B: AC = 4DB

Step-by-step explanation:

Since B is the midpoint of AC, this means that AB≅BC.

Since D is the midpoint of AB, then AD≅DB.

This means that AD is 1/4 of the length of AC, since it is 1/2 of 1/2 of the length (1/2*1/2 = 1/4).  DB is the same length, since it is congruent to AD.

This means that AC = 4DB.

anastassius [24]3 years ago
3 0
AC=4DB IS THE CORRECT ANSWER

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PLEASE LOOK AT THE IMAGE. I’m despite. It’s probably easy.
Sloan [31]

Answer:

Correct answer:  (x - 10)² + y² = 441 / 4

Step-by-step explanation:

Given:

(a, b) = (10, 0)  the coordinates of the center of the circle

(10, 21/2)  circle passing through this point

The standard form of the circle equation is:

(x - a)² + (y - b)² = r²  where r is radius of the circle

We will replace the given coordinates of the center of the circle and the point it passes through to get the radius of the circle:

(10 - 10)² + (21/2)² = r²  ⇒ r² = (21/2)² = 441 / 4

r² = 441 / 4

(x - 10)² + y² = 441 / 4

God is with you!!!

6 0
3 years ago
The quantity r varies jointly with t and u and inversely with s when t= -12, u= -7, and s= -4, r= -126. Find r when t= -8, u= 8,
vichka [17]

Answer:

r = 64

Step-by-step explanation:

r = (k*t*u)/s

Where,

k = constant of proportionality

t = -12,

u= -7,

s= -4,

r= -126.

r = (k*t*u)/s

-126 = (k*-12*-7)/-4

-126 * -4 = 84k

504 = 84k

k = 504/84

k = 6

Find r when t= -8, u= 8, and s= -6.

r = (k*t*u)/s

= (6*-8*8) / -6

= -384 / -6

= 64

r = 64

6 0
3 years ago
Andy has three planks of wood. Two planks are each 1.5 m long. One plank is 2.5m long. What is the total length of all the three
11Alexandr11 [23.1K]

Given:

Two planks are each 1.5 m long.

One plank is 2.5m long.

To find:

The total length of all the three planks.

Solution:

Two planks are each 1.5 m long. So,

First plank = 1.5 m

Second plank = 1.5 m

One plank is 2.5m long. So,

Third plank = 2.5 m

Now, the total length of all the three planks is

\text{Total length}=\text{First plank + Second plank + Third plank}

\text{Total length}=1.5+1.5+2.5

\text{Total length}=5.5

Therefore, the total length of all the three planks is 5.5 m.

4 0
3 years ago
Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month. James Bond makes a $2500 down payment for a
Delicious77 [7]

Answer:

Both Wolverine and James Bond will have paid the same amount after 10 months.

Step-by-step explanation:

Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.

As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,

Amount paid by Wolverine in x months is equal to 1000+300x

As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,

Amount paid by James Bond in x months is equal to 2500+150x

To find number of months after which both Wolverine and James Bond will have paid the same amount,

solve 1000+300x=2500+150x

1000+300x=2500+150x\\300x-150x=2500-1000\\150x=1500\\x=\frac{1500}{150}=10

So, both Wolverine and James Bond will have paid the same amount after 10 months.

5 0
4 years ago
the number of chirps made by a cricket varies directly as the temperature. If at 12 degrees a cricket chirps 30 times per minute
GenaCL600 [577]

Answer:

50 i think?

Step-by-step explanation:

30 divided by 12 is 2.5, 2.5 x 20 equals 50

4 0
3 years ago
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