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m_a_m_a [10]
3 years ago
7

Explain the difference between four times the sum in X and Y and the sum of four times X and Y

Mathematics
1 answer:
vodomira [7]3 years ago
8 0

Step-by-step explanation:

4 times the sum of x and y is: 4(x+y) where you're multiplying the expression x+y four times. the sum of 4 times x and y is: 4x+y where you only multiply x four times and y is left out of the multiplication.Jan

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In triangle ABC, points N and M lie on sides AB and AC, respectively.Given AM = AN = BM = NC = BC, find m∠BAC.
Reil [10]

Answer:

  36°

Step-by-step explanation:

Please refer to the attached figure.

Triangles ANC, AMB, BCN, CBM are all isosceles by virtue of the given congruences. By symmetry, we also claim that ΔABC is isosceles (AB≅AC).

We aren't sure how their internal angles relate, but we can write a couple of equations.

Let x = m∠BAC, y = m∠BCN.

∠NCA = ∠NAC  = ∠MBA = ∠MAB = x

∠BCM = ∠BMC = x +y

∠BMC = ∠MBA +∠MAB = 2x

So, we have ...

  ∠BMC = x +y = 2x   ⇒    y = x

And the sum of angles around ΔABC is ...

  x +(2x) +(2x) = 180°

  x = 180°/5 = 36°

The measure of angle BAC is 36°.

7 0
3 years ago
Pleassse help!!! find the value of x and y
Nata [24]

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6 0
2 years ago
A college football coach wants to know if there is a correlation between his players’ leg strength and the speed at which they c
Leto [7]

Answer:

Please Read below! As a professional athlete, I think I can help. :)

Step-by-step explanation:

First, what is correlation? Correlation is when there is a mutual relationship or connection between two separate things. More studying, better grades. Less sleep, worse focus. In this instance, the football coach wants to see if better leg strength means a faster 40 yard sprint!

As a professional athlete, I can answer immediately that stronger legs, does generally mean a faster sprint. However, this does not mean better endurance in a long distance race!

So the correlation is: stronger legs = faster 40 yard run

A player that can reach 22 leg-presses is likely going to run a faster 40 yard dash, then someone who can only do 10 leg presses. At the same time, however, it's important to take into account the weight of each player, because the person with stronger legs, might have more weight to carry!

I cannot see any chart provided, but I'm going to assume that there is a positive linear graph, with equations being in slope form (y = mx + b).

Let me know if this helps! :)

5 0
2 years ago
-2x+4y=28<br> -3x +2y = 6<br> Solve for x
NNADVOKAT [17]

Answer:

x=4, y=9

Step-by-step explanation:

Solve with substitution.

3 0
2 years ago
bob has 20 apples, billy has 20 pears, bob gives 4 pears to his little sister, billys uncle gives him 69 bananas. What is the di
AysviL [449]

Answer:

73

Step-by-step explanation:

Bob

20-4=16

Billy 20+69=89

89-16=73

5 0
2 years ago
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