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Bogdan [553]
2 years ago
11

Given: ZW and ZY are right angles; VX = ZX;X is the midpoint of WY

Mathematics
1 answer:
N76 [4]2 years ago
3 0

Step-by-step explanation:

Statements

2. ∆VWX = ∆ZYX are right triangles

4. WX = YX

5. ∆VWX = ∆ZYX

Reasons

1. Given

3. Given

5. By HyL congruence Theorem

<em><u>hope </u></em><em><u>this</u></em><em><u> answer</u></em><em><u> helps</u></em><em><u> you</u></em><em><u> dear</u></em><em><u> </u></em><em><u>and </u></em><em><u>may</u></em><em><u> u</u></em><em><u> have</u></em><em><u> a</u></em><em><u> great</u></em><em><u> day</u></em><em><u> ahead</u></em><em><u>!</u></em>

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In the rectangle below,
STALIN [3.7K]

Answer:

Step-by-step explanation:

In a rectangle,  diagonals are equal and bisect each other

BE  =   AE

6x - 5 = 2x +  7

6x - 2x - 5 = 7

       4x - 5 = 7

             4x = 7 + 5

             4x = 12

               x = 12/4

               x = 3

AE = 2x + 7

     = 2*3 + 7

    = 6 + 7

AE =  13

AC = 13 + 13

AC = 26

m∠EBC = 50

In rectangle, each angle is 90

m∠ABE + m∠EBC = 90

m∠ABE + 50 = 90

          m∠ABE = 90 - 50

          m∠ABE = 40

In rectangle, AB // DC and DB transversal

m∠ECD = m∠ABE   { alternate interior angles}

m∠ECD = 40

8 0
3 years ago
A bag contains 9 marbles: 3 are green, 4 are red, and 2 are blue. Martina chooses a marble at random, and without putting it bac
Nana76 [90]
The probability that the first one is red is: 4/9
The probability of the second one is blue is: 2/9
4 0
3 years ago
sally has 20 coins in her piggy bank,all dimes and quarters. The total amount of money is $3.05. How many of each coin does she
Dafna11 [192]
Let d = number of dimes, q = number of quarters 

<span>Sally has 20 coins in her piggy bank, so </span>
<span>d + q = 20 </span>

<span>The total amount of money is $3.05. </span>
<span>Use the value of each coin multiplied by its number to get total value </span>
<span>.10d + .25q = 3.05 </span>
<span>multiply everything by 100 to clear the decimal places </span>
<span>10d + 25q = 305 and </span>
<span>d + q = 20 </span>

<span>solve the second equation above in terms of either d or q - lets do d </span>
<span>d = 20 - q </span>
<span>sub that into the first equation </span>
<span>10d + 25q = 305 </span>
<span>10(20 - q) + 25q = 305 </span>
<span>200 - 10q + 25q = 305 </span>
<span>15q = 105 </span>
<span>q = 105/15 = 7 </span>
<span>and from above </span>
<span>d = 20 - q = 20 - 7 = 13 </span>

<span>so, there are 13 dimes and 7 quarters </span>
<span>verify with orig problem </span>
<span>13 + 7 = 20, OK, and $1.30 + $1.75 = $3.05 
</span>
5 0
3 years ago
Read 2 more answers
A 12-foot ladder leans against the wall; the base of the ladder is 2 feet away from the wall.To the nearest tenth of a foot, how
ludmilkaskok [199]
<h3>The ladder will reach a height of 11.8 feet up the wall</h3>

<em><u>Solution:</u></em>

The ladder, wall and base of the ladder from wall forms a right angled triangle

Length of ladder forms the hypotenuse

Length of ladder = 12 foot

base of the ladder from wall = 2 feet

<em><u>To find: height of wall</u></em>

By pythagoras theorem.

c^2 = a^2+b^2

Where,

"c" is the Length of ladder

"a" is the base of the ladder from wall

"b" is the height of wall

Substituting the values,

12^2 = 2^2+b^2\\\\144 = 4 + b^2\\\\b^2 = 140\\\\b = \pm 11.832 \\\\Ignore\ negative\ value\\\\b \approx 11.8

Thus, the ladder will reach a height of 11.8 feet on wall

4 0
2 years ago
What is 6/13 rounded to the nearest half?
prohojiy [21]
6/13, when turned into a decimal, is equal to 0.4615384615... And so on. That decimal can be rounded to the nearest hundredth to become 0.46.

Is 0.46 closer to 0.5, or 0? When put on a number line, we can see how close it is to 0.5, which is the same as 1/2.

6/13, rounded to the nearest half, is 1/2.
Hope this helped =)
6 0
3 years ago
Read 2 more answers
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