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3 years ago

12

Ah yes everything I'm terrible at combined into 4 problems.

1 answer:

MAVERICK [17]3 years ago

8 0

22 & 23) x = 10 (solved for x in 5x+80=3x+100)

5x + 80 = 130 degrees (angle LMN)

3x + 100 = 130 degrees (angle PMQ)

130 * 2 = 260 degrees

360 - 260 = 100

100 / 2 = 50 degrees (angle LMP and angle NMQ)

24) 60 degrees and 30 degrees. 60 is twice as large as 30, and they bothd this add up to 90 degrees.

Complementary angles add up to 90 degrees *

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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

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

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

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;

$\sqrt{xy} = 3$

or

$xy = 9 - - - (2)$

l

and

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

or

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

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

$\frac{1}{9}$

3 0

2 years ago

Answer to number 6 please

Alenkasestr [34]

Answer:

Step-by-step explanation:

C

6 0

1 year ago

1) Write an equation of a line that<br> is parallel to y = -5x + 2 and<br> passes through (-1, 4).

amid [387]

Answer:

y=-5x + 4

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

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dexar [7]

Answer:i would say 1

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

What is the answer to the problem 5x-2=2x-3

LUCKY_DIMON [66]

First, isolate the x:

5x-2x= 2-3

Then solve!

3x= -1
x= -1/3

Hope this helps!

4 0

3 years ago