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denis23 [38]
3 years ago
5

Solve for congruent triangles

Mathematics
1 answer:
Elanso [62]3 years ago
8 0

Answer:

11. B.

12. C.

13. A.

14. D.

Step-by-step explanation:

for 11: we know that angles D and J are congruent from the tick marks, we also know that ∠FKD and ∠LKJ are congruent (vertical angles are congruent) therefore we need the sides between them

for 12: we know that ∠STU and ∠TUG are congruent, we also know that line TU is congruent to TU (reflexive property), therefore we need the angles adjacent to the first angles listed.

for 13: we know that ∠PQR and ∠CQR are congruent, we also know that lines RQ and RQ are congruent (reflexive property), therefore we need the other angles to which line RQ is between.

for 14: we know ∠B is congruent to ∠T and line AB is congruent to line ZY. therefore the angle cannot be connected to lines AB and ZY.

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What is the length of each diagonal? Please show all work on how you got your answer
Komok [63]

Answer:

  11

Step-by-step explanation:

The diagonals in a rectangle are the same length.

  WY = XZ

  6x -7 = 3x +2

  3x -7 = 2 . . . . . . subtract 3x

  3x +2 = 11 . . . . . .add 9 to match the expression for XZ

The length of each diagonal is 11 units.

_____

Note that we took a little shortcut to the solution. We don't actually need to know the value of x. We only need to know the value of one of the expressions for diagonal length. The expression containing "3x" is the most convenient to determine.

5 0
3 years ago
Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public about the harm caused by
ser-zykov [4K]

Answer: 4/5

Step-by-step explanation:

--------------------------------No of vehicles involved

Did alcohol play a role - - 1 - - - - - 2 - - - - - 3

Yes---------------------------- 60 - - - - 110 - - - 30=200

No - - - - - - - - - - - - - - - - 40 - -- - 215 - - - 45 =300

- - - - - - - - - - - - - - - - - - 100 - - - - 325 - - - 75

What proportion of accidents involved more than one vehicle;

Total accident = (100 + 325 + 75) = 500

Number of accidents involving more than one vehicle = (accident involving 2 vehicles + accident involving 3 vehicles)

(325 + 75) = 400

Therefore, proportion of accidents involved more than one vehicle = (Accident involving more than one vehicle / total accidents)

= (400/ 500) = 4/5

6 0
3 years ago
Please help me no clue about this
Lena [83]
Ok....sooo. first. you do a line and number it.
--------------1-------------2-----
as you see the first number in the graph is 1.5 sooo it goes in between number 1 and 2 because its in the middle.
The second is 1.6 sooo this number goes next to 1.6
-------------1--------1.5---1.6-----------------2----------
then you repeat the same with the other.
now idk if this answer the question but i hope someone else makes sure its correct
6 0
4 years ago
Write the number in standard notation. 9 × 10 to the power of 4
GaryK [48]

Answer:

90000

Step-by-step explanation:

9 x 10 (to the power of 4)

move the zeros to the right side four time, because the power of 4 is positive.

7 0
4 years ago
Read 2 more answers
Determine whether the improper integral converges or diverges, and find the value of each that converges.
Vanyuwa [196]

Answer:

The integral diverges

Step-by-step explanation:

Consider the integral from 0 to infinity of

xe^{4x}

We can do this in parts

\int {xe^{4x} } \, dx =\int {x} \, d(e^{4x})/4\\ = x/4 e^{4x}-e^{4x}/16

When we substitute limits infinity we find that the values become infinity

Hence the integral diverges

The given improper integral diverges

8 0
3 years ago
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