If two shapes are 'similar', it means that the dimensions of the shapes have the same ratio towards each other. In this example, we can see that the side with a length of 2 correlates to the side with a length of 4. That means, the scaling ratio is 4:2, which can be reduced to 2:1.
The next step is to look at the other side. We know that the width of the smaller shape is 1, and that the second shape is twice the size of the smaller shape (which is what a scale of 2:1 means). Therefore, you just need to multiply the known width by two to get the unknown.
1 * 2 = 2
The missing side _d_ has a length of 2.
Hope that helped =)
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have two standard form equations which we will get a slope and a y-intercept from. We will convert each to slope intercept form to get the information. We will then write a new slope-intercept equation and convert to standard form.
3x-5y=7 has the same slope as the line. Let's convert.
The slope is 
.
2y-9x=8 has the same y-intercept as the line. Let's convert.
The y-intercept is 4.
We take and b=4 and substitute into y=mx+b.
We now convert to standard form.
For standard form we need the coefficients of x and y to be not zero or fractions. We need integers but the coefficient of x cannot be negative. So we multiply the entire equation by -5 to clear the denominators.
Answer:
Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.
Step-by-step explanation:
Since Tania is buying a guitar, and Guitar Central has 20% off coupons available, and has the guitar Tania wants for $ 349, while Music Mart has the guitar Tania wants for $ 419, but is offering a $ 200 rebate, to determine which is the better deal the following calculations must be performed:
Guitar Central
100 - 20 = 80
349 x 0.8 = X
279.20 = X
Music mart
419 - 200 = X
219 = X
Therefore, Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.
