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3 years ago

10 POINTS!!! WILL MARK BRAINLIEST

Mathematics

2 answers:

kvasek [131]3 years ago

8 0

Answer:

Step-by-step explanation:

75+3x+(4x+10)

ok look at the triangle 2 sides are congruent means 2 angles are congruent

that means that 75 and 3x are congruent

75=3x

divide by 3 both sides

x=25

75+75=150

30=4y+10

y=5

Naddik [55]3 years ago

4 0

I got it to be 2(2y+5)

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Papessa [141]

Answer:

(f+g)(x)=2x+1+5 - x

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2 years ago

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Step-by-step explanation:

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

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$\sqrt{xy}$

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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

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2 years ago