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irga5000 [103]
3 years ago
10

Proportions in Triangles (10)

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0
X would equal 8 because 8 is 2/3 of 12
And 24 is 2/3 of 36
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GEOMETRY PEOPLE PLEASE HELP ME!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST!
IrinaVladis [17]

\Delta KLJ\sim\DeltaNPM (AAA) Corresponding angles are congruent.

Therefore, the sides of the triangles are proportional:

\dfrac{4x-4}{20}=\dfrac{30}{25}    cross multiply

25(4x-4)=(20)(30)    use distributive property

(25)(4x)+(25)(4)=600\\\\100x+100=600    subtract 100 from both sides

100x=500     divide both sides by 100

x=5

--------------------------------------------------------------------------------------------

\Delta PQR\cong\Delta STU (SAS)

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Therefore we have the equation:

3y-2=y+4\qquad|+2\\\\3y=y+6\qquad|-y\\\\2y=6\qquad|:2\\\\y=3

The perimeter of △PQR:

P=4+6+3y-2=8+3y

Substitute the value of y to the expression:

P=8+3(3)=8+9=17\ ft

7 0
3 years ago
I need help with #11 - #14.
Aleonysh [2.5K]

Answer:

I can get you jump started a bit.

Step-by-step explanation:

So Each of those pairs of figures are Similar.

This means they have equal angle measures but different side lengths.

To find it, we have to make a <u>Proportion:</u>

<u>Example: #11</u>

<u />\frac{x+1}{3x+1} =\frac{8}{20}<u />

So let's solve the first one!

24x+8=20x+20\\4x=12\\x=3

Easy As Pie!

If you need more help, contact me! :)

Hope this Helps!

P.S. Stay Safe!

6 0
3 years ago
Read 2 more answers
How do I do this the easiest way?
Marina CMI [18]
Add the 3 item totals, then divide that number by 100, then, take that number and multiply by 9 (this gets the tax total). then you are going to want to add the total of the 3 items, and the tax amount, and you have your answer. do this with all the peoples items :)
4 0
3 years ago
Read 2 more answers
1 point) Are the functions f,g, and h given below linearly independent? f(x)=e3x+cos(5x), g(x)=e3x−cos(5x), h(x)=cos(5x). If the
Fynjy0 [20]

Answer:

Functions are linearly dependent (are not linearly independent.)

Step-by-step explanation:

Remember that two functions f(x), g(x) and h(x) are said linearly independent on an interval I if the <em>only solution</em> to the equation

\alpha f(x)+\beta g(x)+\omega h(x)=0, \ \text{for all } x\in I

is the trivial one: α = 0, β = 0, ω = 0. If they are not linearly independent, they are called linearly dependent.

Now, let f(x), g(x) and h(x) be the functions:

f(x)=e^{3x}+\cos(5x),

g(x)=e^{3x}-\cos(5x),

h(x)=\cos(5x).

Then, letting α = 1, β= -1 and ω = -2, we see that:

\alpha f(x)+\beta g(x)+ \omega h(x)=e^{3x}+\cos(5x)-e^{3x}+\cos(5x)+2\cos(5x)=0.

Hence, the functions f(x), g(x) and h(x) are not linearly independent, or equivalently, are linearly dependent.

8 0
3 years ago
3/11 x 3 1/4 What does this equal as a fraction?
Lera25 [3.4K]
Im pretty positive that it is 93/44
6 0
2 years ago
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