Answer:
3
Step-by-step explanation:
The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:
AB * x = DE
where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:
5x = 15
x = 3
Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.
-11 and 2 make the equation true.
Answer:
178
Step-by-step explanation:
Answer:
<u>The budget for defense can be represented as x + 660.4</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Budget for education is $ 660.4 billion less than budget for defense in some country
x = represents the budget for education, in billion of dollars
2. How can the budget for defense be represented?
x = represents the budget for education, in billion of dollars
x + 660.4 = represents the budget for defense, in billion of dollars also
<u>The correct answer is that the budget for defense can be represented as x + 660.4</u>
You can graph this two ways. You can change it into slope intercept form, y=mx+b, or find the x- and y-intercepts. To change it to slope intercept form you would need to add 12x to both sides and divide both sides by 18. By doing this, you'd get y=2/3x+17/9. You'd then go up on the y-axis to 17/9 or 1.89 and place a point. You'd then go up two and to the right three and place another point. You can do this one more time and connect the points. To find the x- and y- intercepts you would plug 0 in for x and solve for y, getting 17/9, and plug 0 in for y and solve for x, getting -17/6. You'd then plot the points (-17/6, 0) and (17/9) and connect the points forming a line.
