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maria [59]
3 years ago
10

PLEASE SOLVE THE QUESTION BELOW Copy and paste these symbols if needed Δ ∠ ≅ ~.

Mathematics
1 answer:
Veronika [31]3 years ago
7 0

Answer:

Statement:                                                            Reason:

1. Line AB is parallel to Line DE                    1. Given

2. Angle ABC is congruent to Angle ECD   2. Vertical Angle Theorem (Vertical        

                                                                           Angles are congruent)

3. Angle ABC is congruent to Angle             3. If a pair of parallel lines are cu

  CDE                                                                         by a transversal, then the

                                                                          alternate int angles r congruent

4. Triangle ABC is similar to Triangle EDC     4. Angle-Angle Postulate                                                                            

Step-by-step explanation:

I hope this helps!

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F. How many miles could be driven with 18 gallons of<br> gas?
3241004551 [841]

Answer:

21.5 or 26.8

Step-by-step explanation:

a car with a 18 gallon gas tank can average 21.5 miles per gallon when driven in the stop and go traffic of the city and 26.8 miles per gallon when driven on the highway

8 0
3 years ago
Pls Help!!! worth 40 pts.
Sholpan [36]
Your function is f(x) = x^3 - 7x - 6. The fundamental theorem of algebra says that there will be three roots, since the degree of the polynomial is 3. The problem provides two real roots, x = -2 and x = 3, so there must be one more.

The theorem also says that possible roots of the polynomial would be in this case, the factors of the constant (-6) over the factors of the coefficient of the term with the highest degree (1).

Factors of -6 are: 1, 2, 3, 6, -1, -2, -3, -6
Factors of 1 are: 1, -1

Possible rational roots are: 1, 2, 3, 6, -1, -2, -3, -6

I then use synthetic division to see which possible rational root is a real root by dividing x^3 -7x -6 by the possible rational roots, and I get a root when the remainder is 0. Remember to put the placeholder of 0 for x^2 when dividing:
-1} 1 0 -7 -6
       -1  1   6
-----------------
     1 -1 -6  0

When I divide by the possible rational root of -1, I get a remainder of 0, which means -1 is a root.

To check:
(x + 2)(x - 3)(x + 1)
= (x^2 - x - 6)(x + 1)
= x^3 - x^2 - 6x + x^2 - x - 6
= x^3 - 7x - 6
5 0
4 years ago
the cooking club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed th
Ne4ueva [31]

Answer:

The club made 5 pies

Step-by-step explanation:

Total pieces=40

40/5 (cuz each pie was cut in 5 pieces)

40/5=8 (Total of pies sell)

But they say the cafeteria contributed with 3 pies so:

8-3= 5

3 0
4 years ago
Read 2 more answers
Show steps and answer for this fraction .
Olenka [21]

-5 + i / 2i
-5 + i (2i) / 2i (2i)
-10i + i^2
i^2 - 10i
4 0
4 years ago
Help with this pls.
Phoenix [80]

Answer:

20 = AC

Step-by-step explanation:

AB+BC = AC

11+9 = AC

20 = AC

6 0
4 years ago
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