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Wittaler [7]
1 year ago
13

Please help me geometry

Mathematics
1 answer:
Semenov [28]1 year ago
3 0
<h2>Answer :</h2>

\large \bf \implies \angle{BAC} = 40 \degree

<h2>Step-by-step explanation :</h2>

\bf \implies  \angle{ABC} + \angle{BAC} = 90\degree [The acute angles of a right triangle are complementary]

\bf \implies  50x + 40x = 90\degree

<u>Substitute</u> :

\angle{BAC} = 40x \:  \: , \:  \: \angle{ABC} = 50x  \: into \: \angle{ABC} + \angle{BAC} = 90\degree

  • \sf{x =  1}

<u>Calculate 50x + 40x = 90°</u> ↑

  • \sf{\angle{BAC} = 40}

Substitute x = 1 into \bf{\angle{BAC} = 40x} ↑

\boxed{ \bold{\angle{BAC} = 40} }\:  \mathfrak{ans.}

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A rectangular field is to be enclosed by a fence and divided
Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

5 0
3 years ago
Average winter temperatures in 45 states were recorded and divided by geographic region. Choose True or False for each statement
san4es73 [151]

Answer: SU, TU, ST is the right answer

Step-by-step explanation: In a triangle

The largest side and the largest angle are opposite to each other

The shortest side and the shortest angle are opposite to each other.

So using the above axioms we can observe the triangle.

The largest angle is m∠U = 80° so the side opposite to it is the largest i.e. ST is the largest

The smallest angle is m∠T = 25° so the shortest side is SU

The third side will be the middle side as the angle ∠S is greater than 25° and less than 80°

So the sides in order from least to greatest are: SU, TU, ST

5 0
3 years ago
I need help please I’m confused
Ahat [919]

Answer:

The answer is 50 degrees

Step-by-step explanation:

The small box at the corner of the triangle indicates that the triangle is exactly 90 degrees, or a right angle. In order to solve the expression, you would need to do 40 + x = 90, which would be x = 50

8 0
3 years ago
Read 2 more answers
In the following drawing, find b if a = 4.5 and c = 10.8. Round your answer to two decimal places
nika2105 [10]
9.81784090317 

I added more just in case if a teacher needs the whole answer for some reason.
6 0
3 years ago
choose the equation below that represents the line that passes through the point (−2, −1) and has a slope of 5. (5 points) y − 1
Rus_ich [418]
Equation of a line;
y=mx+c
m=5
y=5x+c
Replacing for x and y using point (-2, -1)
-1=5(-2)+c
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c=9
y=5x+9
4 0
3 years ago
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