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andriy [413]
3 years ago
7

Solve for x. 47x=2747x=27

Mathematics
1 answer:
Svetach [21]3 years ago
7 0
Divide by the coefficient of x.
  x = 27/47
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Determine the value of a + b in the system of equations below. <br><br> 5a + 4b = 22<br> 7a-b= 11
dexar [7]

Answer:

We have a + b as;

2 + 3 = 5

Step-by-step explanation:

Here, we want go get the value of a and b

from the second equation, we can get an expression for b

We have this as;

7a - b = 11

Thus,

b = 7a - 11

Now, from here, we can substitute the value of b into the first equation

We have this as;

5a + 4(7a - 11) = 22

5a + 28a -44 = 22

33a = 22 + 44

33a = 66

a = 66/33

a = 2

Recall;

b = 7a - 11

substituting the value of a from above;

b = 7(2) - 11

b = 14 - 11

b = 3

6 0
2 years ago
Write an indirect proof showing that the diagonals of a parallelogram intersect each other
____ [38]
Its an indirect proof, so 3 steps :-
1) you start with the opposite of wat u need to prove 
2) arrive at a contradiction
3) concludeReport · 29/6/2015261
since you wanto prove 'diagonals of a parallelogram bisect each other', you start wid the opposite of above statement, like below :- step1 : Since we want to prove 'diagonals of a parallelogram bisect each other', lets start by assuming the opposite, that the diagonals of parallelogram dont bisect each other.Report · 29/6/2015261


Since, we assumed that the diagonals dont bisect each other, 
OC≠OA 
OD≠OBReport · 29/6/2015261
Since, OC≠OA, △OAD is not congruent to △OCBReport · 29/6/2015261

∠AOD≅∠BOC as they are vertical angles, 
∠OAD≅∠OCB they are alternate interior angles 
AD≅BC, by definition of parallelogram 
so, by AAS, △OAD is congruent to △OCBReport · 29/6/2015261
But, thats a contradiction as we have previously established that those triangles are congruentReport · 29/6/2015261
step3 :
since we arrived at a contradiction, our assumption is wrong. so, the opposite of our assumption must be correct. so diagonals of parallelogram bisect each other.
4 0
3 years ago
Find the measure of each acute angle.
Alona [7]

Answer:

(19x - 1)° = 56°

(13x - 5)° = 34°

Step-by-step explanation:

Property of the interior angles of a triangle:

Sum of interior angles of a triangle is 180°.

Therefore, sum of angles of the given right triangle will be,

(19x - 1)° + (13x - 5)° + 90° = 180°

32x - 6 + 90 = 180

32x = 96

x = 3

(19x - 1)° = 19×3 - 1 = 56°

(13x - 5)° = 13×3 - 5 = 34°

7 0
3 years ago
Two numbers are opposites are 12 units apart. What are the two numbers? Answer smaller number, larger number
Ugo [173]

Answer:

-6, 6

Explanation:

-6 - 6 = -12

8 0
2 years ago
Building a is 271 meters taller than building
kvv77 [185]

Let a and b represent the heights of the corresponding buildings (in meters).

... a = b +271 . . . . . . . a is 271 meters taller than b

... 2b -a = 211 . . . . . . if a is subtracted from twice b, the result is 211

Use the expression for a in the first equation to substitute for a in the second.

... 2b - (b+271) = 211

... b = 482 . . . . . . . . . . . simplify and add 271

... a = b +271 = 753

Building a is 753 meters tall; building b is 482 meters tall.

4 0
3 years ago
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