All categories

1 year ago

Solve for x. The triangles in each pair are similar please question number 14

Mathematics

1 answer:

Brilliant_brown [7]1 year ago

5 0

Given that the triangle CDE is similar to triangle CML, it means that the ratio of their corresponding sides are equal. It means that

CD/CM = DE/ML = CE/CL

CD = 20 + 12x + 2 = 12x + 22

CE = 30 + 12 = 42

20/12x + 22 = 12/42

By cross multipying, it becomes

12(12x + 22) = 20 * 42

144x + 264 = 840

144x = 840 - 264 = 576

x = 576/144

x = 4

You might be interested in

3.6.PS-8 If the simple interest on $5,000 for 9 years is $2,700, then what is the interest rate? The rate is %. .

Arada [10]

$~~~~~~ \textit{Simple Interest Earned}\\\\I = Prt\qquad\begin{cases}I=\textit{interest earned}\dotfill &\$2700\\P=\textit{original amount deposited}\dotfill & \$5000\\r=rate\to r\%\to \frac{r}{100}\dotfill &0.0r\\t=years\dotfill &9\end{cases}\\\\\\2700=(5000)(0.0r)(9)\implies 2700=45000(0.0r)\implies \cfrac{2700}{45000}=0.0r\\\\\\\cfrac{3}{50} = 0.0r\implies \cfrac{3}{50} = \cfrac{r}{100}\implies \cfrac{3\cdot 100}{50}=r\implies 6 = \stackrel{\%}{r}$

5 0

2 years ago

Whats the linear function in slope intercept form : -6x+9y=54

babunello [35]

9y = 6x + 54
divide through by 9:-
y = 6/9y + 54/9

y = 2/3 x + 6 <---- answer

4 0

3 years ago

Read 2 more answers

98 Points !! These are follow up according to previous question that had been answered for me. Help would be appreciated ! :))

IgorLugansk [536]

That's a copy of the figure from the other post; I didn't look at the answer.

We have Start(0,0)

$A(-16.55\cos 25, -16.55 \sin 25)$

$B=A+(5 \cos 53, 5 \sin 53)$

$C=B+(20,0)$

$C=(-16.55\cos 25 + 5 \cos 53+20, -16.55 \sin25 - 5 \sin 53)$

$C \approx (8.00968, -10.9875) \approx(8,-11)$

Your team takes the direct path at a constant speed of 6 miles per hour.

Our team. $T=\sqrt{8^2+11^2}/6 = 2.27 \textrm{ hours}$

Team Red follows the riddle and travels at 8 mph from Start to Post A, 9 mph from Post A to Post B, and 11 mph from Post B to Finish.

$T=16.55/8 + 5/9 + 20/11 = 4.44 \textrm{ hours}$

Team Blue follows the riddle and travels at a constant speed of 10 mph.

 $T=(16.55 + 5 + 20)/10 = 4.155 \textrm{ hours}$

Team Yellow follows the riddle and travels at a constant speed of 11 mph, but stops at Post A for 30 minutes and stops again at Post B for another 30 minutes.

$T=(16.55 + 5 + 20)/11 + 30/60 + 30/60=4.78 \textrm{ hours}$

Winner: our team, then Blue, then Red, then Yellow

3 0

3 years ago

I need helps pls :)

nadya68 [22]

In regular polygons, if the number of sides, n, is odd, the lines of symmetry will pass through a vertex and the half of the opposite side.
Step-by-step explanation:
This is equivalent to say that a perpendicular bisector of a side of the regular polygon bisects the angle of the opposite vertex to the side, and divide the polygon into two symmetrical parts.

4 0

2 years ago

Determine whether the value is a discrete random variable, continuous random variable, or not a random variable.

gulaghasi [49]

As a rule of thumb, a discrete random variable is countable.
A continuous random variable is measurable but not countable.

a. Discrete
The number of hits to a website is countable.

b. Continuous
The weight of a T-bone steak is measurable.

c. Discrete
The political party affiliations of adults are countable.

d. Discrete
The number of bald eagles in a country is countable.

e. Continuous
The amount of snowfall in December is measurable.

f. Discrete
The number of textbook authors is countable.

6 0

2 years ago

Read 2 more answers