Let x be the number of white marbles and y be the number of blue marbles.
So,
Also,
since "<span>the number of white marbles is 6 less than 4 times the number of blue marbles</span>"
We will solve the above system o two equation:
Using the value of x from the second equation in the first equation we get:
Conclusion:
there is 62 white marbles and 17 blue marbles.
Remark
The easiest way to do this is just to find the x and y intercepts when the center of dilation is 0,0 and the scale factor is 1/2
Solution
On the x axis, the value of x is 8 before the dilation takes place. When you dilate by 1/2 x becomes 8*1/2 = 4
On the y axis, the value of y is -6 before the dilation takes place. When you dilate by 1/2, y becomes -6*1/2 = -3
Now join the points (4,0) and (0,-3) That is your new triangle with a dilation of 1/2.
The distance of DC=HG,4.47; distance of CB=GF, 2.23; distance of BA=FE, 2.23; distance of AD=EH, 3.16
Answer:All sides are congruent so the shapes are congruent
Hope this helps :)
Answer:
Surface Area of Rectangular Prism is 22
Step-by-step explanation:
Given: Dimensions of Rectangular prism are Length = 3 inches, width = 1 inch and height = 2 inches.
To find: Surface Area of Rectangular Prism
Formula Used for Surface Area of Rectangualr Prism = 2 × ( Lenght × Width + Width × Height + Height × Length )
⇒ Surface Area = 2 × ( 3 × 1 + 1 × 2 + 2 × 3 )
= 2 × ( 3 + 2 + 6 )
= 2 × ( 11 )
= 22
Therefore, Surface Area of Rectangular Prism is 22
Step-by-step explanation:
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That's very sweet!!! Thank you for being so positive!
