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natulia [17]
3 years ago
11

What is the ratio 17/51 in simplest form?

Mathematics
1 answer:
n200080 [17]3 years ago
7 0
Since 51 is equal to 3 multiplied by 17, the smallest ratio is 1/3 
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In the figure, and bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.
Alisiya [41]

Observe the figure below.

    Statement                                                                          Reason

1. AC and BD bisect each other                                             Given

2. AE = EC and BE = ED                                                         Definition of bisection

3. m \angle AEB = m \angle CED                       Vertical angle theorem

Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".

4. \Delta ABE \cong \Delta CDE                         SAS criterion for congruence

5. m \angle ACD = m \angle CAB           Corresponding angles of congruent triangles are congruent

6. AB \parallel CD                                 Converse of alternate interior angle theorem

7.  m \angle BEC = m \angle AED                   Vertical angle theorem

8.  \Delta BEC \cong \Delta DEA            SAS criterion for congruence

9.  BC \parallel AD                                 Converse of alternate interior angle theorem

As, \Delta BEC \cong \Delta DEA, so m \angle CBD = m \angle BDA as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by  "Converse of alternate interior angle theorem".

5 0
3 years ago
Without actually writing the following explain how to expand (x+3)^7 using the binomial theorem
padilas [110]

Answer:

x^{7} + 3^{7}

Step-by-step explanation:

because you put each thing to the power

4 0
3 years ago
How to find the value of x so the polygons have the same perimeter
Scorpion4ik [409]
I hope this helps you

6 0
3 years ago
Read 2 more answers
Using complete sentences, write an indirect proof proving that if x=30, then 3/4x+5≠20 (3/4 being three over four)
WARRIOR [948]
<span>hypothesis :-
 if x=30, then 3/4x+5≠20
 let Q:- x=30 P:- 3/4x+5≠20
 we need to prove if Q then P (Q →P)
 
proof :-
lets assume 34x+5=20 is true
now x=30
 so
  3/4(30)+5=27.5 ≠20
which is a contradiction
   
proved ^</span>
8 0
3 years ago
One integer is 4​ times another. If the product of the two integers is 16, then find the integers.
natulia [17]
The integer is positive 4.
B/c-
4 • 4 = 16
6 0
2 years ago
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