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Veseljchak [2.6K]
3 years ago
14

ASAP someone please help. Given the following angle measurements for a triangle, find the remaining angle.

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0

Answer:

c

Step-by-step explanation:

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Find two positive numbers satisfying the given requirements. the sum of the first and twice the second is 240 and the product is
MArishka [77]

The two numbers are 120 and 60


Let's call the two numbers x and y. The first sentence translates into


x+2y = 240


from which we can derive


x = 240-2y


So, their product can be written as


xy = (240-2y)y = 240y-2y^2


This expression is a quadratic polynomial with negative leading coefficient, so it represents a parabola concave down. So, the vertex of the parabola is its maximum, which we can find as usual: given the parabola ax^2+bx+c, its extreme point is located at x = \frac{-b}{2a}.


So, in your case, since a = -2 and b = 240, the maximum is located at


y = \frac{-240}{-4} = 60


Now that we know y, we can deduce the value of x:


x = 240-2y \implies x = 240-120 = 120


So, the two numbers are 120 and 60

6 0
3 years ago
Answer ASAP PLZZ!!!!
weqwewe [10]

Answer: m∠HIJ = m∠IHK because they are alternate interior angles

Step-by-step explanation:

3 0
3 years ago
closing probability" when driving is: a. The chance that another vehicle will be in the same place you plan to be at the same ti
mylen [45]

Answer:

The answer is "Option b".

Step-by-step explanation:

The probability of the vehicle and also another entity getting shifted more carefully together because they keep moving across a planned site. so, if going to drive is a "closing possibility." In Just 0.99 USD per month, in which users can raise your chance by either a vehicle in front of you suddenly stop and fall on your street, that's why we can say, that choice b is correct.

5 0
3 years ago
. My best friends and I met at the movies at
Tpy6a [65]

Answer:

1 hour and 30 minutes

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the gradient of the line segment between the points (-2,3) and (-5,6).
bulgar [2K]

Answer:

<h2>-1</h2>

Solution,

Let the points be A and B.

A(-2,3)---->(X1,y1)

B(-5,6)---->(x2,y2)

Now,

\frac{y2 - y1}{x2 - x1}  \\  =  \frac{6 - 3}{ - 5 - ( - 2)}  \\  =  \frac{3}{ - 5 + 2}  \\  =  \frac{3}{ - 3}  \\  =  - 1

Hope this helps..

Good luck on your assignment..

5 0
4 years ago
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