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timama [110]
3 years ago
7

10 POINTS!!!! Please help

Mathematics
1 answer:
LuckyWell [14K]3 years ago
6 0

Answer:

\large\boxed{\sin E=\dfrac{e}{f}}

Step-by-step explanation:

sine=\dfrac{opposite}{hypotenuse}

\text{We have}\\\\opposite=e\\hypotenuse=f\\\\\text{subtitute:}\ \sin E=\dfrac{e}{f}

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Complete the proof for the following conjecture.
Ray Of Light [21]

Answer:

Statements                                                      Reasons

AC+CD=AD and AB+BD=AD         Segment Addition Postulate

AC+CD=AB+BD                            Transitive/Substitution Property

AC=BD                                         Given

BD+CD=AB+BD                            Substitution Property

CD=AB                                         Subtraction Property

AB=CD                                         Symmetric Property

Step-by-step explanation:

By segment addition postulate, we can say the following two equations:

AC+CD=AD and AB+BD=AD.

By either substitution/transitive property, you can say AC+CD=AB+BD.

You are given AC=BD, so we use substitution and write AC+CD=AB+AC.

After using subtraction property (subtracting both sides by AC), you obtain CD=AB.

By symmetric property, you may say AB=CD.

So let's write it into the 2 column-proof you have there:

Statements                                                      Reasons

AC+CD=AD and AB+BD=AD        Segment Addition Postulate

AC+CD=AB+BD                            Transitive/Substitution Property

AC=BD                                          Given

BD+CD=AB+BD                             Substitution Property

CD=AB                                          Subtraction Property

AB=CD                                          Symmetric Property

Properties/Postulates used:

Transitive property which says:

If a=b and b=c, then a=c.

Substitution property which says:

If a=b, then b can be substituted(replaced with) for a.

Subtraction property which says:

a=b implies a-c=b-c.

Segment Addition Postulate says:

If you break a segment into two smaller pieces then the measurement of that segment is equal to the sum of the smaller two segments' measurements.

3 0
3 years ago
A cylindrical tank contains 172.48 litres of water. If its
tatyana61 [14]

Answer:

Radius= 8.86 m

Step-by-step explanation:

Pie x r^2 x 0.7= 172.48

Pie x r^2= 246.4

r^2= 78.43

R= square root of 78.43

Radius= 8.86m

4 0
3 years ago
One number is seven less than five times another. If their sum is decreased by four the result is one. Find the numbers
juin [17]
Let the number be Y .
Y is seven
less than 5 times another (let that other be X)
Y=7-5X
sum of both Y and X minus 4 gives one
Y+X-4=1
now solve both equations .
6 0
3 years ago
Find the value of x
GalinKa [24]

Answer:

29 degrees

Step-by-step explanation:

9: 2x - 2 + x + 5 = 90

3x + 3 = 90

3x = 90 - 3

3x = 87

x = 29 degrees

4 0
3 years ago
What do you call a female bug that floats math worksheet answer key?
Elena L [17]

Answer to this problem will depend upon the set of questions given with the worksheet or page having question "What do you call a female bug that floats math worksheet answer key?".

You haven't provided the set of questions but i can explain about how to get the answer of the name of bug in that sheet.


Look at the sample picture of similar problem that is attached with the answer. You have to solve the given set of problem and fill the correct matching answer in the blank box.

Say answer of first problem is choice named "T" then fill the letter "T" in the blank box numberd "1".

Same way solve other problem and fill correct name of the letter in each blank boxes.

Now rearrange letters in your answer box in increasing order of numbers 1 to 15. The resulting name will be the final answer for the name of the bug.

6 0
3 years ago
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