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sukhopar [10]
3 years ago
10

A garage contains a combination of 20 bicycles and tricycles in total,there are 44 wheels how many bicycles and how many tricycl

es are in the garage?
Mathematics
1 answer:
Amanda [17]3 years ago
4 0

4 tricycles and 16 bicycles

hope this helps

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Show that triangle MPT =Triangle MTP​
exis [7]

Unusual notation.  I won't fuss with it.

a. We have isosceles PRT, so angle  RPT = angle RTP.

By the definition of angle bisector, angle MTP = angle MTF, and angle MPT = angle MPU.

We have m angle RTP = m angle MTF + m angle MTP = 2 m angle MTP

Similarly, m angle RPT = 2 m angle MPT

2 m angle MTP = 2 m angle MPT

angle MPT = angle MPT

That's the first part.

b. That makes MPT isosceles.

c. 2x+124=180

2x = 56

x = 28 degrees

MTP = 28 degrees

d.  We have angle RPT=angle RTP=56 so PRT=180-2(56)=68 degrees

PUT = 180 - UTP - UPT = 180 - 28 - 56 = 96 degrees

Bad drawing, PUT looks acute.

angle PRT = 68 degrees, angle PUT = 96 degrees

3 0
3 years ago
We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal
ohaa [14]

Answer: AAA similarity.


Step-by-step explanation:  CB is the transversal for the parallel lines AB and DE, and so by transverse property, we have ∠CED ≅ ∠CBA. Similarly, CA acts as a tranversal for the same pair of parallel lines AB and DE and using the same property, we can have ∠CDE ≅ ∠CAB. Now, in triangles CED and ABC, we have

∠CED ≅ ∠CBA,

∠CDE ≅ ∠CAB

and

∠DCE ≅ ∠ACB [same angle]

Hence, by AAA (angle-angle-angle) similarity,

△CED ~ △ABC.

Thus, the correct option is AAA similarity.


8 0
3 years ago
Read 2 more answers
2(x+1)=3x-x+2 help fast and show work please
Stells [14]

Answer:

0=0

Step-by-step explanation:

2(x+1)=3x-x+2\\\\\mathrm{Add\:similar\:elements:}\:3x-x=2x\\2\left(x+1\right)=2x+2\\\\\mathrm{Expand\:}2\left(x+1\right):\quad 2x+2\\2x+2=2x+2\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\2x+2-2=2x+2-2\\\\Simplify\\2x=2x\\\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\2x-2x=2x-2x\\\\Simplify\\0=0\\\\\mathrm{True\:for\:all}\:x

5 0
3 years ago
Sum is the answer to what type of problem​
Julli [10]
The answer will be Addition Problem
5 0
3 years ago
(x 4 - 81) (x - 3) . write answers in descending power of x. (division)
Zinaida [17]

Answer:

  x^3+3x^2+9x+27

Step-by-step explanation:

\dfrac{x^4-81}{x-3}=\dfrac{(x^2-9)(x^2+9)}{x-3}=\dfrac{(x-3)(x+3)(x^2+9)}{(x-3)}\\\\=(x+3)(x^2+9)=x^3+3x^2+9x+27

_____

The factoring of the difference of squares is used (twice):

  a² -b² = (a -b)(a +b)

4 0
3 years ago
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