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katovenus [111]
3 years ago
6

3. CDEF is a parallelogram. Find m2C

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

Answer:

m<C = 56°

m<D = 124°

Step-by-step explanation:

Of CDEF is a parallelogram then the sum of angle m<C and angle m<D must be equal to 180°

4x + 28 + 17x + 5 = 180 add like terms

21x + 33 = 180 subtract 33 from both sides

21x = 147 divide both sides by 21

x = 7 now to find the measure of each angle replace x with 7

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In ABC, centroid D is on median AM. AD = x + 5 and DM = 3x – 5. Find AM
Sindrei [870]

Answer

Find out the value of AM.

To prove

As given

In ABC,

centroid D is on median AM.

AD = x + 5 and DM = 3x – 5.

By using the centroid property

The centroid divides each median in a ratio of 2:1.

Thus D divide the median AM  in a ratio of 2:1.

Therefore

(AD) = 2DM

(x + 5) = 6x – 10

5x = 15

x = \frac{15}{5}

x = 3

Now

AM = 3+ 5

     = 8 unit

DM = 3 × 3- 5

      = 4 unit

AM = AD + DM

      = 8 + 4

AM   = 12 unit

Therefore the AM is 12 unit.



4 0
3 years ago
Read 2 more answers
The equation 50=36.50+0.10m represent the additional number of messages roboerto can send with a budget of $50 .solve the equati
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Answer :
M = 135

Step by Step Explanation :
See the photo attached :) it’s kinda hard to explain in words but you cancel out the 36.50 by subtracting it on both sides, and then the equation becomes 13.50 = 0.10m. Since we have to get the m by itself, you cancel out the 0.10 by subtracting on both sides, and it leaves you with 135 = m

(Ignore my messy handwriting on a post it :3)

I hope this helped! If u have any questions feel free to comment on this!

4 0
3 years ago
The temperature that milk is pasteurised to kill off most germs:
Ipatiy [6.2K]

Answer:

160 degrees Fahrenheit for 15 seconds

Step-by-step explanation:

Conventionally, milk is pasteurized, or heated at high temperatures to kill harmful germs, at roughly 160 degrees Fahrenheit for 15 seconds. While pasteurization kills most germs, it does not wipe out bacterial spores, the dormant versions of the germs, which are extremely resistant to any form of destruction.

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What is the medical term for infection of the gallbladder?
kipiarov [429]

Answer:Cholecystitis

Step-by-step explanation:

4 0
3 years ago
A person standing close to the edge on the top of a 400-ft building drops a baseball. The quadratic function h left parenthesis
swat32

Answer:

h(0)=400

The above function value for h(0) shows that height of the ball before it was dropped i.e. at time = 0 seconds.

The height of the ball above the ground before it was dropped = 400 ft.

Step-by-step explanation:

Given:

The quadratic function that models the height of the baseball above the ground in feet , t seconds after it was dropped is given as:

h(t)=-16t^2+400

To find h(0) and interpret the meaning of the function value in contect of the problem.

Solution:

In order to find h(0), we will replace t=0 in the given function as h(t) is a function of time t.

Thus, we have:

h(0)=-16(0)^2+400

h(0)=16(0)+400

h(0)=0+400

h(0)=400  (Answer)

The above function value for h(0) shows that height of the ball before it was dropped i.e. at time = 0 seconds.

The height of the ball above the ground before it was dropped = 400 ft.

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3 years ago
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