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DIA [1.3K]
3 years ago
8

22 + 54x = -20 + 60x and -5x - 16 = 8x - 3

Mathematics
2 answers:
tiny-mole [99]3 years ago
8 0

Answer:

1.) 42/55 x = the quotient. 2.) x = -1

Step-by-step explanation:

defon3 years ago
4 0

Answer:

x = - 7/9 and x = - 1

Step-by-step explanation:

Equation 1:

Step 1:

22 + 54x = - 20    Equation

Step 2:

54x = - 42   Subtract 22 on both sides

Step 3:

- 42 ÷ 54   Divide

Answer:

x = - 42/54 or - 7/9

Equation 2:

Step 1:

- 5x - 16 = 8x - 3   Equation

Step 2:

- 16 = 13x - 3   Add 5x on both sides

Step 3:

- 13 = 13x   Add 3 on both sides

Step 4:

- 13 ÷ 13   Divide

Answer:

x = - 1

Hope This Helps :)

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In the triangles below, DF is congruent to MN,DG is congruent to MP, angle d is congruent to angle p. Can you prove that triangl
olga nikolaevna [1]
<h2>Answer:</h2>

Definitely we can't prove that triangle DFG is congruent to MNP. The reason is because the angles that are congruent don't match the corresponding vertex, that is, the corresponding vertices of these triangles are as follows:

D is corresponding to M

F is corresponding to N

G is corresponding to P

But the angle we know in the first triangle lies on vertex D while on the second triangle the angle lies on vertex P but it should lies on vertex M, so we'd prove they are congruent by Side-Angle-Side Postulate (SAS).

4 0
3 years ago
The population of Illinois in 2000 was about 1.57 times its population in 1940. If the population of Illinois in 1940 was about
Amiraneli [1.4K]

Answer: 12.4Million

Step-by-step explanation:

Let x be the term we are looking for

Therefore;

Population in 2000 = x

Population in 1940 = 7.9Million

Recall population in 2000 is 1.57 times population in 1940

Therefore

1.57 * x = 7.9

x = 7.9m * 1.57

x = 12.403

Rounding off to the nearest tenth in Millions

= 12.4Million

Hope this helps

3 0
3 years ago
Help with one homework question for all
NeX [460]

Answer:

21 m

Step-by-step explanation:

P= a+b+c

so it be 9+7.5+4.5 = 21

9-1.5 = 7.5

9/2 = 4.5

5 0
4 years ago
2. Two angles have a common vertex but no common side. How can you tell whether the angles are vertical angles?
Maksim231197 [3]

Explanation:

The angles are <em>vertical angles</em> if the opposites of the rays forming one of the angles are the rays forming the other angle.

More formally, if V is the common vertex, and ...

  • R is a point on one of the rays forming Angle 1
  • S is a point on the ray that is the opposite of ray VR
  • T is a point on the other ray forming Angle 1
  • U is a point on the ray that is the opposite of ray VT

Then angle RVT and angle SVU are vertical angles.

___

Another way to say this is that points R, V, S are collinear, as are points T, V, U, and the two angles of interest are RVT and SVU.

If the above conditions cannot be met, then the angles are not vertical angles.

7 0
4 years ago
Find the slope A) - 1/3 B) -3 C) 1/3 D) 3
Eddi Din [679]
Answer: Choice C) 1/3

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

Explanation:

Two points on this line are (0,2) and (3,3)
Let (x1,y1) = (0,2) and (x2,y2) = (3,3)
We can use the slope formula to get

m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(3 - 0)
m = 1/3

which is why the answer is choice C. The slope of 1/3 means that each time you rise 1 unit, you run 3 units to the right. In other words,

rise/run = 1/3
5 0
3 years ago
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