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a=
b=
c=

Answer:

In triangles ΔBAE and ΔCED, which are congruent triangles, ∠ DBA is congruent to  ∠CDB because corresponding parts of congruent triangles are Congruent, (CPCTC)

Step-by-step explanation:

The given information are;

In triangle ΔBAE and ΔCED, ∠EAB Alternate angles)is congruent to ∠ECD (

∠CED is congruent to ∠AEB (Vertically opposite angles)

Segment [tex]\overline {BA}[/tex] is congruent to segment [tex]\overline {DC}[/tex] (Given)

Therefore;

Triangle ΔBAE is congruent to ΔCED (Angle Angle Side AAS congruency rule)

Therefore, ∠ DBA is congruent to  ∠CDB (Corresponding Parts of Congruent Triangles are Congruent, (CPCTC))

Answer:

45

Step-by-step explanation:

negative times negative equals positive

x=3!!!!!!!!!!!!!!!!!

Answer:

$63.3

Step-by-step explanation:

You buy a 60 dollar watch.

60

There is a 6 percent tax. When adding tax, multiply the 6 percent by the original amount.

60 x 0.06

3.6

Add the tax to the original amount.

60 + 3.6 = 63.3

So, your total cost is 63.3 dollars.

Answer:

$63.60

Step-by-step explanation:

Answer:

5.6568 units

Step-by-step explanation:

Given the following points :

(8, - 3) and (4, - 7).

Find the distance between them.

(8, - 3) : x1 = 8, y1 = - 3

(4, - 7): x2 = 4, y2 = - 7

Distance (d) = √[(x2 - x1)² + (y2 - y1)²]

d = √[(4 - 8)² + (-7 - (-3))²]

d = √[(-4)² + (-7 +3)²]

d = √[16 + (-4)²]

d = √16 + 16

d = √32

d = 5.6568

d = 5.66 units

Answer:

8.025

Step-by-step explanation:

If you count the zeros in 1000, it's three. Count three starting from the back of 25. Add 0 in front of 25 to make it a three digit number. You then put the decimal point with the whole number.

Answer:

B. 8.025

Step-by-step explanation:

Hope it helped!

Answer:

Step-by-step explanation:

3e - 18 = -12 - 3e

6e - 18 = -12

6e = 6

e = 1

Answer:

52

Step-by-step explanation:

22 times 2 plus 8 is 52

Answer:

I didn't "do the math" yet at all, but draw it out on an X,Y axis...  Thinking about it logically...  If point A is in the upper right quadrant of the axis, because both X and Y coordinates are positive numbers, so you go right on the horizontal axis and up on the vertical axis...  Then the midpoint is in the lower right quadrant of the due to the X coordinate being a positive, thus you go right on the horizontal axis, but the Y coordinate is a negative, so you go down vertically... So point B cannot be above both the midpoint or point A, ruling out (7,7) and (4,5) as both Y coordinates of those answers (7 or 5) are higher than point A's Y coordinate of 2...  B would have to be below point A because the midpoint is below point A with a Y coordinate of -3... So this leaves either option (5,-0.5) or option (4,-8)...  However....  While (5,-0.5) has a lower Y coordinate than point A with -0.5, its Y coordinate is above the Y coordinate of the midpoint as well, since -0.5 is above -3...  So this doesn't jive as point B cannot be between point A and the midpoint to point B...  This logically leaves (4,-8) left to be the answer...  And if you drew on an X,Y axis the coordinates (6,2) as well as (5,-3) and (4,-8), then connect the dots, you'd find (5,-3) sits about half ways between (6,2) and (4,-8)...

So (4,-8) is probably the answer...

The best way to come to this conclusion mathematically is finding the slope (rise over run) of point A and the midpoint between point A and point B, then continuing the slope down, etc...  But this particular question with the multiple choice answers ruled all but 1 answer out...

To find the slope you take rise over run, which is the Y of the 2nd coordinate minus the Y of the 1st coordinate, divided by (or over) the X of the 2nd coordinate minus the X of the 1st coordinate....

IE: ( Y2 - Y1 ) / ( X2 - X1 ) = Rise / Run

So.... The 2nd coordinate's Y value is -3, and the 1st coordinate's Y value is 2...  Subtract 2 from -3, and you get -5...

Then the 2nd coordinate's X value is 5, and the first coordinate's X value is 6...  Subtract 6 from 5, and you get -1...

Divide -5 over -1, which equals the same as 5 over 1...  The rise is 5, the run is 1, the slope is 5 steps vertically for every 1 step horizontally...

Or visually... ( -3 - 2 ) / ( 5 - 6 ) which is -5 / -1...  Since both sides are negative, that's the same as 5 / 1... which is 5 vertical steps (rise) for every 1 horizontal step (run), or a slope of 5...

So add the slope rise of 5 to the Y coordinate of the midpoint, -3, and you get 2, which is the Y coordinate of point A...  And add slope run of 1 to the midpoint X coordinate, 5, and you get 6, the X coordinate of point A...  Now subtract the slope rise of 5 from the midpoint, -3, and you get -8...  So that tells you that point B has to have a Y coordinate of -8....  And now subtract the slope run of 1 from the midpoint X coordinate, 5, and you get 4...  The X coordinate of point B...  Giving you a point B coordinate of (4,-8)...

Answer:

c

Step-by-step explanation:

Ralph’s calculation is too high, as his calculation includes state taxes option (b) is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Ralph’s current annual income is $32,000.

Total of $9,280 in federal taxes this year.

32000(0.24) = x

7680 = x

Thus, Ralph’s calculation is too high, as his calculation includes state taxes option (b) is correct.

a.

Ralph’s calculation is too high, he has only calculated state taxes.

b.

Ralph’s calculation is too high, his calculation includes state taxes.

c.

Ralph’s calculation is correct, he will have to pay $9,280 in federal taxes this year.

d.

Ralph’s calculation is too low, he did not include medical care in his calculation.What is gross pay.

Learn more about the fraction here:

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Answer:

1.) You my add any positive or negative number to both sides of an inequality.

2.) You may multiply or divided both sides of an inequality by any positive number.

Step-by-step explanation:

*Hope this helped*

The procedure is summarized in three steps: 1) Write expressions, 2) Simplify/reduce expressions, 3) Solve for each variable.

The procedure of Writing and Solving Equations and Inequalities: is described below:

1) Write a number of Equations with same quantity of Variables, in order to solve the System.

2) Use Algebra properties to Simplify and Reduce the number of Expressions.

3) Solve for each reduced Expression.

Please see this question related to Equations: https://brainly.com/question/8743486

Answer:

  3.5 miles

Step-by-step explanation:

The straight line distance from the school to the mall is found using the Pythagorean theorem. That distance is the hypotenuse of a triangle that is 27 blocks in the east-west direction and 22 blocks in the north-south direction.

  d = √(27^2 +22^2) = √1213 ≈ 34.83 . . . blocks

Since each block is 0.1 miles, the distance in miles is ...

  distance to mall = (0.1 miles/block)(34.83 blocks) = 3.483 miles

Rounded to tenths, the distance from school to mall is 3.5 miles.

Answer:

43 1/3 minutes to iron 10 shirts

Step-by-step explanation:

Number of shirts : Time taken

3 shirts : 13 minutes

10 shirts : x minutes

3 / 13 = 10 / x

Cross product

3 * x = 13 * 10

3x = 130

Divide both sides by 3

3x / 3 = 130 / 3

x = 43 1/3 minutes

x = 43 minutes 20 seconds

It will take 43 minutes 20 seconds to iron 10 shirts

Answer:

RATIONAL

Step-by-step explanation:

Answer:

NOT RATIONAL

Step-by-step explanation:

Answer:

j=7

Step-by-step explanation:

Answer:

0.4561

Step-by-step explanation:

If a loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks, the ratio  of boxes of socks to boxes of shoes will be expressed as amount of boxes of socks : amount of boxes of shoes.

amount of boxes of socks : amount of boxes of shoes = 26:57

26:57 = 26/57

26/57 ≈ 0.4561

Hence the ratio of boxes of socks to boxes of shoes is approximately 0.4561

Answer:

(9, 10)

Step-by-step explanation:

We are told that the coordinates of Mary's departure location is (1,4)

Now, we are told that She stopped at the midpoint of the journey located at Panama with a coordinate of (5, 7).

Now, we want to find the coordinates of her final destination.

Let the coordinates of her final destination be (x, y)

Since midpoint is at (5,7) and the initial point is at (1,4), then to get x;

(x + 1)/2 = 5

x + 1 = 5 × 2

x + 1 = 10

x = 10 - 1

x = 9

Similarly, to get y;

(y + 4)/2 = 7

y + 4 = 14

y = 14 - 4

y = 10

Thus, the coordinates of her final destination is; (9, 10)

Answer:

systemetic property

hope it is helpful for you

Step-by-step explanation:

please follow and mark braniest

P = 3AC + BC

AB = 2AC

P = AB + AC + BC

replace AB

P = 2AC + AC + BC

P = 3AC + BC

Answer:

y = 80

The opposite angle of y is 80.

Answer:

[tex]ay=3ax-a[/tex]

Step-by-step explanation:

to have an infinite number of solutions it must be the same line

so the other equation must be

[tex]ay=3ax-a[/tex]

fo [tex]a[/tex] a known value

Answer:

c

Step-by-step explanation:

edge 2020 Dec 9

Answer:

Yes it is ✔️✔️✔️

Axiom for multiplication

hope this helps uh

Answer:

40

Step-by-step explanation:

You would mutiply 8 times -3 and you would get -24 and 64 + (-24) = 64 - 24 which equals 40

The student's score on the test will be 40.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the mark for the correct answer is x

Then,

Correct marks(score) + incorrect marks = total marks

x + incorrect marks = total marks

x = total marks - incorrect marks

Now,

Total marks = 64

Incorrect marks = 8(3) = 24

So,

x = 64 - 24 = 40.

Hence "The student's score on the test will be 40".

For more about the equation,

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Answer:

The correct option is 1

Step-by-step explanation:

Given the number . we have to identify the number is rational or irrational

As we know  is irrational

i.e

The above number is irrational as it is non repeating and non-termination number after decimal.

As the sum of a rational and an irrational must be irrational

∴  is irrational which gives the sum 3.31227766....

hence, the correct option is 1)

15-4=11

Step-by-step explanation:

Answer:

it’s 11 hun

[tex]\frac{x}{-4} < 16[/tex]

16 yı karşıya at;

x/-4-16<0

(-x-64)/4<0

-x-64<0

-64<x

x>-64

Answer:

x > −64

I hope this helps!