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elena-s [515]
3 years ago
8

Classify the following triangle. Check all that apply.

Mathematics
1 answer:
arsen [322]3 years ago
7 0

Answer:

The answer is D. and E.

Step-by-step explanation:

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Given ad = bc and ad = bc prove abcd is a parallelogram
Sladkaya [172]

Answer:

See below

Step-by-step explanation:

<u><em>Proof:</em></u>

<u><em>Statements    </em></u>                                 |  <em><u>Reasons</u></em>

AD ≅ BC                                         | Given

AD ║ BC                                         | Given

AC ≅ AC                                         |  Reflexive Property

∠DAC ≅ ∠ACB                               | If 2 || lines are cut by a trans., the                      

                                                       |  alternate interior ∠s are congruent.

ΔADC ≅ ΔBCA                              | S.A.S  Postulate

BA ≅ DC                                        | Corresponding sides of congruent Δs

So, quad. ABCD is a ║gm             | If a quad. has its opposite sides

                                                      | congruent, the quad. is a parallelogram.

6 0
4 years ago
How many gallons of gas does this car need to travel 578 miles
AleksAgata [21]

Answer:

578x gallons

Step-by-step explanation:

In order to find that we must have the rate at which fuel is consumed in travelling single mile.

If the rate of consumption of fuel is given as x gal per mile

The number of gallons consumed in 578 miles will be = 578x  gallons

6 0
4 years ago
R - 9S = 2 3R - 3S = -10
GrogVix [38]
R-9s=2  add 9s to both sides

r=2+9s  making 3r-3s=-10 become:

3(2+9s)-3s=-10  perform indicated multiplication on left side

6+27s-3s=-10  combine like terms on left side

6+24s=-10  subtract 6 from both sides

24s=-16  divide both sides by 24

s=-16/24

s=-2/3, making r-9s=2 become:

r-9(-2/3)=2  perform indicated multiplication on left side

r+6=2 subtract 6 from both sides

r=-4

So s= -2/3 and r= -4
8 0
3 years ago
Five bells begin to ring together and they ring at intervals of 3, 6, 10, 12 and 15 seconds, respectively. How many times will t
Evgen [1.6K]

Answer:

60 times will they ring together at the same second in one hour excluding the one at the end.

Step-by-step explanation:

Given : Five bells begin to ring together and they ring at intervals of 3, 6, 10, 12 and 15 seconds, respectively.

To find : How many times will they ring together at the same second in one hour excluding the one at the end?

Solution :

First we find the LCM of 3, 6, 10, 12 and 15.

2 | 3  6  10  12  15

2 | 3  3   5   6  15

3 | 3  3   5   3  15

5 | 1    1  5   1    5

  | 1    1   1   1     1

LCM(3, 6, 10, 12,15)=2\times 2\times 3\times 5

LCM(3, 6, 10, 12,15)=60

So, the bells will ring together after every 60 seconds i.e. 1 minutes.

i.e. in 1 minute they rand together 1 time.

We know, 1 hour = 60 minutes

So, in 60 minute they rang together 60 times.

Therefore, 60 times will they ring together at the same second in one hour excluding the one at the end.

6 0
3 years ago
A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 5y + 9z = 1 Which of the
matrenka [14]

Answer:

Multiply (y + x = 6) by -5 to eliminate the y term

Step-by-step explanation:

4 0
3 years ago
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