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Sav [38]
3 years ago
8

What is the scale factor from Figure B to Figure A?

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer:

scale factor in figure A and B is 3

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A conjecture and the flowchart proof used to prove the conjecture are shown.
amm1812

Answer:

∠1 + ∠2 + ∠3 = 180°

Step-by-step explanation:

Given :  AB II XC

To Show : ∠1 + ∠2 + ∠3 = 180°

Proof: Here, given that AB is parallel to the line XC

⇒  ∠4  =  ∠2  (Pair of Alternate angles as AB II XC)  .........  (1)

and ∠5  =  ∠3 (Pair of Alternate angles as AB II XC) ...........  (2)

Now, ∠1 + ∠4 + ∠5  = 180° ( Straight Angle)

But, from above (1) and (2)

∠1 + ∠2 + ∠3   =   180°  ( as ∠4  =  ∠2,  ∠5  =  ∠3)

Hence, ∠1 + ∠2 + ∠3   =   180°

Hence Proved.

7 0
3 years ago
Scott takes gets a student loan to go to college after high school. If he pays $750 in interest at a rate of 3%, how much must t
JulijaS [17]

Answer: The loan have been $2500 originally.

Step-by-step explanation:

Since we have given that

Interest = $750

Rate of interest = 3%

Number of year = 1

Let P be the principal amount .

So, According to question, we get that

750=\dfrac{P\times R\times T}{100}\\\\750=\dfrac{P\times 3\times 1}{100}\\\\\dfrac{750\times 100}{3}=P\\\\$2500=P

Hence, the loan have been $2500 originally.

6 0
3 years ago
At a local gas station, regular unleaded gasoline is priced at $1.10 per gallon. If it cost $16.50 to fill a cars gas tank, how
8090 [49]
The tank hold 15 gallons.Because you divide 16.50 by 1.10 .
6 0
4 years ago
Which is the best approximate solution of the system of linear equations y= 1.5x - 1 and y = 1
yan [13]

Answer:

4/3

Step-by-step explanation:

We can immediately eliminate y by setting y = 1 equal to y = 1.5x - 1:

1 = 1.5x - 1, or 1.5x = 2, or x = 2/1.5 = 4/3


6 0
4 years ago
Find the value of x 6x-10 6x+10
faltersainse [42]

Answer:

total there are 3 values of x as +5/3, -5/3 and 0

Step-by-step explanation:

the  given equation is

x(6x-10) (6x+10)=0

this equation can be solved as following

=0   using the formula (a+b)*(a-b)= (a^2-b^2)

here a=6x and b=10

from here we can write either x=0 or 36x^2= 100  

or x^2= 100/36 and x=0

or x= ±10/6 and x=0

therefore, total there are 3 values of x as +5/3, -5/3 and 0

5 0
4 years ago
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