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SIZIF [17.4K]
2 years ago
14

I need help with this proof i am struggling w geometry...

Mathematics
1 answer:
EleoNora [17]2 years ago
8 0

Your line 4 should have "angle DEC" not "angle EDC". The order of the letters is important. I marked the two angles ABC and DEC in the attached image below. They are alternate interior angles. Because DE || AB, this means the alternate interior angles are congruent.

Since C is the midpoint of EB, this means BC = CE by the definition of the midpoint. Basically EB is cut into two halfs BC and CE which are the same length.

After you establish all of what is mentioned previously, you would use the AAS congruence theorem. AAS stands for Angle Angle Side. One pair of angles are the vertical angles (see line 2). Another pair of congruent angles is the alternate interior angles (line 4). The sides are not between the pairs of angles mentioned. Again check out the attached image for more visual information.

Finally, if we know the triangles are congruent, then the corresponding parts are congruent (CPCTC). That leads to the conclusion that DC = AC.

Edit: it's actually ASA and not AAS because the sides are between the two angles (I was thinking of another diagram earlier)

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Ares of a rectangular floor of your house is Ax+5x-2. if the length is x+2 units, find A​
Snezhnost [94]

Answer:

A=4.

Step-by-step explanation:

Note: In the expression of area the first term should be Ax^2.

It is given that area of a rectangular floor of your house is Ax^2+5x-2 and the length is (x+2) units.

We know that, area of a rectangle is

Area=length\times width

Since length of the rectangle is (x+2), therefore (x+2) is a factor of Ax^2+5x-2 and the value of Ax^2+5x-2 is 0 at x=-2.

A(-2)^2+5(-2)-2=0

4A-10-2=0

4A-12=0

4A=12

Divide both sides by 4.

A=4

Therefore, the value of A is 4.

7 0
3 years ago
I need help! if you answer wrong for points I will report you! but hurry this is timed!
anyanavicka [17]

Answer:

it would be 10

Step-by-step explanation:


6 0
3 years ago
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Two paths in a park intersect so that one of the angles at the intersection is 75°.What are the three other angle measurements f
oksian1 [2.3K]

Answer:

105°, 75°, and 105°.

Step-by-step explanation:

If two straight paths intersect at a point , four angles will be formed.

These are pairs of vertical angles.

The adjacent angles add up to 180°

If one of the angles is 75°, the supplement will be

180 - 75 = 105 \degree

Therefore the three other angles will be , 105°, 75°, and 105°.

5 0
2 years ago
An arithmetic sequence is represented by the explicit formula A(n) = 2 +(n − 1)(− 5)
Reil [10]

Answer:

a+(n-1)d please do you get it or

8 0
3 years ago
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In tennis, a first serve can be an ace, a fault, or it can be returned. In one match, a tennis player hit 24 aces, which was 25
Anastaziya [24]

Answer:

16 faults

Step-by-step explanation:

<u><em>The correct question is</em></u>

In tennis, a first serve can be an ace, a fault, or it can be returned. In one match, a tennis player hit 24 aces, which was 2/5 of all her first serves. If 1/3 of her first serves were returned, how many of the tennis player's first serves were faults?

Let

x -----> the number of all her first servers

y ----> the number of first services returned

z ---> the number of first services faults

we know that

The number of aces plus the number of returned plus the number of faults must be equal to the number of all her first services

so

x=24+y+z

step 1

Find out the number of all her first servers

we have that

24=\frac{2}{5}x

Solve for x

x=24(5)/2\\x=60\ first\ services

step 2

Find out the number of first services returned

y=\frac{1}{3}x

substitute the value of x

y=\frac{1}{3}(60)=20\ returned

step 3

Find out the number of first services faults

x=24+y+z

we have

x=60\\y=20

substitute and solve for z

60=24+20+z

60=44+z

z=16\ faults

6 0
2 years ago
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