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anyanavicka [17]

3 years ago

13

State if the triangle in each pair are similar. If so, state the reason they are similar and complete the similarity statement.

If not, put “none” for the reason and similarity statement.

1 answer:

leva [86]3 years ago

7 0

Answer:

NO

Step-by-step explanation:

fe $\neq$ cb

fg $\neq$ bd

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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

Really need help with this .

lions [1.4K]

Answer:

Step-by-step explanation:

The attached photo shows the diagram of quadrilateral QRST with more illustrations.

Line RT divides the quadrilateral into 2 congruent triangles QRT and SRT. The sum of the angles in each triangle is 180 degrees(98 + 50 + 32)

The area of the quadrilateral = 2 × area of triangle QRT = 2 × area of triangle SRT

Using sine rule,

q/SinQ = t/SinT = r/SinR

24/sin98 = QT/sin50

QT = r = sin50 × 24.24 = 18.57

Also

24/sin98 = QR/sin32

QR = t = sin32 × 24.24 = 12.84

Let us find area of triangle QRT

Area of a triangle

= 1/2 abSinC = 1/2 rtSinQ

Area of triangle QRT

= 1/2 × 18.57 × 12.84Sin98

= 118.06

Therefore, area of quadrilateral QRST = 2 × 118.06 = 236.12

6 0

3 years ago

Read 2 more answers

5x+4=x+44 solve for x

Aleks [24]

Answer:

x=10

Step-by-step explanation:

hope this helps

5 0

2 years ago

Read 2 more answers

At the beginning of the bake sale merry set aside two pies for herself Kate bought half of the remaining pies for a birthday par

nirvana33 [79]

So.. .at the beginning of the sale, there was a total of "x" pies

now, let's see what happened to those pies
$\bf \begin{array}{lrlll}
&pies\\\\
&\textendash\textendash\textendash\textendash\textendash\textendash&\\

Mary&x-2\\\\
Kate&\cfrac{x-2}{2}\\\\
\textit{pies sold}&10\\\\
\textit{pies leftover}&14
\end{array}$

so, we had "x"
then Mary took 2, she left x - 2
Kate took half of that (x-2)/2
then 10 were sold, and 14 leftover

if we subtract all those figures, and solve for "x",
we should get what "x" was, so $\bf (x-2)-\left( \cfrac{x-2}{2} \right)-10-14=0$

notice, if we subtract what Mary took, and Kate, and the sold and leftover, from the original "x", we would end up with no pies :)

so.. just solve for "x"

6 0

3 years ago

. Campbell's paycheck was $257.20. She put 1/4 of her paycheck in her savings account and used 1/3 of what was left to pay bills

evablogger [386]

I could be wrong because people do make mistakes, but i’m pretty sure the answer i got was right
$128.60
explanation:
$257.20 divided by 4=$64.30
$257.20-$64.30=$192.90
$192.90 divided by 3=$64.30
$192.90-$64.30=$128.60
therefore, she has $128.60 left from her paycheck after bills

5 0

3 years ago