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I am Lyosha [343]
3 years ago
9

Together Louisa and kill scored more than 30 points in the basketball game. If Kill scored 12 points how many points P did Louis

a score

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0
Attached the solution with work shown.

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Altitudes AA1 and BB1 are drawn in acute △ABC. Prove that A1C·BC=B1C·AC
Sophie [7]

Answer:

See the attached figure which represents the problem.

As shown, AA₁ and BB₁ are the altitudes in acute △ABC.

△AA₁C is a right triangle at A₁

So, Cos x = adjacent/hypotenuse = A₁C/AC ⇒(1)

△BB₁C is a right triangle at B₁

So, Cos x = adjacent/hypotenuse = B₁C/BC ⇒(2)

From (1) and  (2)

∴  A₁C/AC = B₁C/BC

using scissors method

∴ A₁C · BC = B₁C · AC

7 0
3 years ago
When angles are complementary, the sum of their measures is 90 degrees.Two complementary angles have measures of 2x-10 degrees a
Mariana [72]

Complementary angles are those angles whose sum is 90 degree.

The measurement of two complementary angles are

(2x-10), (3x-10)

There sum have to be 90 degree. That is

2x-10+3x-10 = 90

Combining like terms ,

5x - 20 = 90

Moving 20 to right side

5x=110

Dividing both sides by 5

x =22

So the measurement of the angles are

2*22-10 , 3*22-10  \\
34 degree,  56 degree

6 0
3 years ago
What is the percent increase between 8,863,052 and 9,149,840?
kvasek [131]

Answer:

increase = 9149840 - 8863052 \\  = 286788 \\ \% \: increase =  \frac{286788}{8863052}  \times 100\% \\  = 3.24\%

4 0
3 years ago
Read 2 more answers
Factor the trinomial<br><br> x^2-9x+4x
8090 [49]

Answer:


Step-by-step explanation:

Simplifying

x2 + -9x = 4x + -4

Reorder the terms:

-9x + x2 = 4x + -4

Reorder the terms:

-9x + x2 = -4 + 4x

Solving

-9x + x2 = -4 + 4x

Solving for variable 'x'.

Reorder the terms:

4 + -9x + -4x + x2 = -4 + 4x + 4 + -4x

Combine like terms: -9x + -4x = -13x

4 + -13x + x2 = -4 + 4x + 4 + -4x

Reorder the terms:

4 + -13x + x2 = -4 + 4 + 4x + -4x

Combine like terms: -4 + 4 = 0

4 + -13x + x2 = 0 + 4x + -4x

4 + -13x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0

4 + -13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.

4 + -13x + -4 + x2 = 0 + -4

Reorder the terms:

4 + -4 + -13x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -13x + x2 = 0 + -4

-13x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4

-13x + x2 = -4

The x term is -13x.  Take half its coefficient (-6.5).

Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.

-13x + 42.25 + x2 = -4 + 42.25

Reorder the terms:

42.25 + -13x + x2 = -4 + 42.25

Combine like terms: -4 + 42.25 = 38.25

42.25 + -13x + x2 = 38.25

Factor a perfect square on the left side:

(x + -6.5)(x + -6.5) = 38.25

Calculate the square root of the right side: 6.184658438

Break this problem into two subproblems by setting  

(x + -6.5) equal to 6.184658438 and -6.184658438.


8 0
3 years ago
Read 2 more answers
Write the slope-intercept form of the equation of the line through the given points.
serious [3.7K]

Answer:

Slope: 1

Y-intercepts : (0,0)

Step-by-step explanation:

Y= x

7 0
3 years ago
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