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4 years ago

What is the length of MN

Mathematics

2 answers:

Ghella [55]4 years ago

4 0

Answer:

D. 12

Step-by-step explanation

You know this is an isoceles triangle because the two base angles on congruent. That means the two sides are equal. So, 3x = x+8. If you plug in each of the answer choices, you'll notice that 4 fits the equation. If 4 equals x, 4 times 3 equals 12 and on the other side, 4+8 also equals 12. Therefore, to find the length of MN, you would just need to do 4+8 which equals 12

jek_recluse [69]4 years ago

3 0

Answer:the length of segment MN is 12

Step-by-step explanation:

because the angles at the bottom of each segment are equal, the length of each segment is equal as well, so set you equation as 3x=x+8, subtract x from 3x then divide 8 by 2 which equals 4. (x=4) then plug in the value of x into x+8 and you have 12

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Answer:

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3 years ago

At midnight, the temperature was -8° F. At noon, the temperature was 23° F. Which expression represents the increase in temperat

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Answer:

Step-by-step explanation:

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3 years ago

1. Determine a rule that could be used to explain how the volume of a

Eva8 [605]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

$V_c = \pi *r^2*h$

- Similarly, the volume of cone ( V_c ) is represented by:

$V_c = \frac{1}{3}*\pi *r^2 * h$

Where,

r : The radius of cylinder / radius of circular base of the cone

h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

$V = C*r^2$

Where,

C: The constant of proportionality

- Hence the proportional relation is expressed as:

V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

$V = C*(a*r)^2\\\\V = C*a^2*r^2$

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

$V = (\frac{1}{3} \pi *r^2*h)*a^2$