1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
exis [7]
3 years ago
14

Please Help!

Mathematics
1 answer:
RUDIKE [14]3 years ago
3 0

Answer:

1. this is the definition of a midpoint - bc the definition of a midpoint is: “If a point is a midpoint of a segment, then it divides that segment into two congruent parts” or “If a point divides a segment into two congruent parts, then it's the midpoint of that segment.”

2. this is the division property of equality -"The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal". so, in this situation we want to isolate x which means dividing both sides by 20. This will keep both sides equal just more simplified  ( before, it was 20 and 100, after dividing both sides by 20 it is 1 and 5 which is the same ratio therefore they are still equal)

3. this one's the subtraction property of equality- this property means you can subtract the same number from both sides of an equation and get an equivalent equation. in this situation, they subtracted 15 from both sides to get AB = 30 and it ends being still being equal to AB + 15= 45.

4. this is the symmetric property of equality -  "This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement." "it states that values are still equal no matter which side of the equal sign they're on." That's why its possible for XY=ST and ST=XY

5. this is definition of congruence - which basically states that if a value of one thing is equal to the value of another thing those two things can be called congruent.

6. this is substitution property- this is the property that allows you to substitute one value for another in an equation. the property states  that if  

x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation, just like what they show here with 5AB substituting for CD in the equation.

i hope this helped!   im not that good at explaining so if u have more questions lmk!          

You might be interested in
URGENT WILL GIVE YOU 100 POINTS PLEASE ANSWER CORRECTLY
wariber [46]

Answer:

1. x = 18.4

2. x = -1.25

3. x = \frac{5}{12}

4. x = 12.3

5. x = 6.4

6. z = 5.8

7. x = \frac{1}{12}

8. x = -\frac{1}{4}

9. x = \frac{1}{3}

10. x = -9

11. z = 18

12. x = 7

13. x = -9

14. x = -36

15. x = -7

16. x = 8

17. z = -1.5

18. x = -\frac{45}{7}

19. x = 16

20. x = -12

21. x = \frac{8}{3}

22. x = -1.6

23. x = 1.8

24. x = -8.2

Step-by-step explanation:

1. x - 3.5 = 14.9 (add 3.5 to each side)

x = 18.4

2. x + 2.25 = 1 (subtract 2.25 from each side)

x = -1.25

3. -\frac{1}{3} = x - \frac{3}{4} (add \frac{3}{4} to each side)

\frac{3}{4} - \frac{1}{3}  = x (multiply \frac{3}{4} by \frac{3}{3} and \frac{1}{3} by \frac{4}{4} to get a common denominator)

\frac{9}{12} - \frac{4}{12} = x

\frac{5}{12} = x

4. x - 2.8 = 9.5 (add 2.8 to each side)

x = 12.3

5. x - 8.5 = -2.1 (add 8.5 to each side)

x = 6.4

6. z - 9.4 = -3.6 (add 9.4 to each side)

z = 5.8

7. x + \frac{5}{6} = \frac{11}{12} (subtract \frac{5}{6} from each side)

x = \frac{11}{12} - \frac{5}{6} (multiply \frac{5}{6} by \frac{2}{2} to get a common denominator)

x = \frac{11}{12} - \frac{10}{12}

x = \frac{1}{12}

8. -\frac{5}{6} + x = -\frac{13}{12} (add \frac{5}{6} to each side)

x = \frac{5}{6} - \frac{13}{12} (multiply \frac{5}{6} by \frac{2}{2} to get a common denominator)

x = \frac{10}{12} - \frac{13}{12}

x = -\frac{3}{12} = -\frac{1}{4}

9. x - \frac{1}{9} = \frac{5}{18} (add \frac{1}{9} to each side)

x = \frac{1}{9} + \frac{5}{18} (multiply \frac{1}{9} by \frac{2}{2} to get a common denominator)

x = \frac{2}{18} + \frac{5}{18}

x = \frac{6}{18} = \frac{3}{9} = \frac{1}{3}

10. x + 6 = -3 (subtract 6 from each side)

x = -9

11. z - 7 = 11 (add 7 to each side)

z = 18

12. -1 = x - 8 (add 8 to each side)

7 = x

13. -4x = 36 (divide each side by -4)

x = -9

14. -\frac{x}{3} = 12 (multiply each side by -3)

x = -36

15. 63 = -9x (divide each side by -9)

-7 = x

16. 6.4 = 0.8x (divide each side by 0.8)

8 = x

17. -2.8z = 4.2 (divide each side by -2.8)

z = -1.5

18. -\frac{7}{9}x = 5 (divide each side by -\frac{7}{9})

x = \frac{5}{1} ÷ -\frac{7}{9}

x = \frac{5}{1} (times) -\frac{9}{7}

x = -\frac{45}{7}

19. \frac{1}{2}x = 8 (divide each side by \frac{1}{2})

x = 16

20. -\frac{3}{4}x = 9 (divide each side by -\frac{3}{4})

x = -12

21. -\frac{7}{8}x = -\frac{21}{64} (divide each side by -\frac{7}{8})

x = -\frac{7}{8} ÷ -\frac{21}{64}

x = -\frac{7}{8} (times) -\frac{64}{21}

x = \frac{448}{168} = \frac{56}{21} = \frac{8}{3}

22. 1.6x = -3.2 (divide each side by 1.6)

x = -1.6

23. -\frac{1}{2} = -\frac{5}{18}x (divide each side by -\frac{5}{18})

1.8 = x

24. -2.5x = 20.5 (divide each side by -2.5)

x = -8.2

3 0
2 years ago
Read 2 more answers
If a line has a slope of 2 and contains the point (-2,1), what is its equation in point-slope form?
kondaur [170]
The equation for slope is y=mx+b. slope is m. 2 is the slope. so you know the m part of the equation is 2. just by eliminating the answers that don’t have 2 as the slope, A is your answer.
5 0
3 years ago
Solve for h.
Luden [163]
Solving for h means we write the equation in such a way that h is isolated from other variables. It is done as follows: 

(P = mgh) 1/mg
P/mg = mgh/mg
h = P/mg

Therefore, the correct answer from the choices listed above is option C, h = p/mg.

Hope this answers the question. Have a nice day. 
4 0
3 years ago
The area of a rectangular gymnasium is (5x+5x) square feet. If it is 5x feet wide, what is the length, in feet?
Amiraneli [1.4K]

Answer:

Step-by-step explanation:

Area = L x W      gym area is (5x + 5x) ft²      if   W = 5x      Find the L

Area = L x W       divide both sides by W

Area/W  = (L x W) / W

Area/W  =  L  =  Area/W

    L = Area/W

       =  (5x + 5x) / (5x)

       =  5x( 1 + 1) / 5x

       =  5x(2) / 5x                      the 5x's cancel each other  5x/5x = 1

       =   2 ft          I got 2.  I suspect the 12 was a typo and should have been 2

5 0
2 years ago
65 yard 2 feet = how many feet
stiv31 [10]
65 yards 2 feet = ?
1 yard = 3 feet

65(3)+2= 195+2 = 197

it is 197 feet
5 0
3 years ago
Read 2 more answers
Other questions:
  • A construction worker took 1over8 
    7·1 answer
  • Help me simplify this, please!!
    15·1 answer
  • John borrows $2,500 from his dad, who feels it is best to charge him interest. Six months later,
    8·2 answers
  • Your company manufactures hot water heaters. The life spans of your product are known to be normally distributed with a mean of
    13·1 answer
  • Solve for t : t3 + 4 =-4
    10·1 answer
  • Jessica bought 1/2 pound of roast beef and 5/6 pound of ham. Which pairs of fractions are equivalent to the amounts Jessica boug
    14·2 answers
  • Angle A and B are supplementary angles. Angle A measures 45 degrees. What is the measurement of angle B?
    13·1 answer
  • What is the solution to -6(3a+4)=3a-3
    10·1 answer
  • Evaluate 1/4c + 3d when c = 6 and d = 7
    14·2 answers
  • Hank runs a successful hot dog stand right across from the arch at the University of Georgia in downtown Athens. Hank has to ord
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!