4. C)If two figures are congruent, then they are similar.
If they are congruent them shape and size are the same and hence they are similar
5. Ratio 4/3 smaller side is 21
Multiply to find large side
4/3×21= 28ft D)
6. Width went from 24 to 3 in divide to get ratio
24/3 =8 now divide the length by 8 to find the postcard length
32/8= 4 in A)
8. If they are similar you need to find the ratio y reduces from 8 is similar to 6 so link those 6/8
This is your ratio you can simplify it to 3/4 now y/6 should also = 3/4
Y/6=3/4
Y=18/4= 4.5 C)
9.C)DC
Answer:
$13,500
Step-by-step explanation:
convert percentage to decimal first by dividing it by 100. Multiply the commission percentage by the purchase price to find out your total commission.
Answer:
All of them
Step-by-step explanation:
Hi there! The answer is y = -3x - 21
Let's set up the equation of the line step by step! First we need to know that we need to set up an equation in slope-intercept form. We get the following:
y = ax + b.
a represents the slope of the line.
b represents the intercept with the y-axis.
Since our new line is parallel to y = -3x + 1, both lines have the same slope. Therefore the slope of our line, which is represented by a, is -3.
y = -3x + b.
We also know that this line goes through the point (-5, -6) and therefore we can plug in these coordinates into our formula.
-6 = -3 × -5 + b
Simplify
-6 = 15 + b
Subtract 15
-21 = b
Switch sides
b = -21
Hence, y = -3x - 21
~ Hope this helps you!
Answer/Step-by-step explanation:
9. 17x = 16x + 5 (alternate exterior angle)
17x - 16x = 5
x = 5
Measure of bolded angle = 17x = 17 * 5 = 85
10. 21x - 6 = 20x (corresponding angels)
21x - 20x = 6
x = 6
Measure of bolded angle = 20x = 20(6) = 120
11. (x + 95) + (x + 105) = 180 (linear pair angles)
2x + 200 = 180
2x = 180 - 200
2x = -20
Divide both sides by 2
x = -10
Measure of bolded angle = x + 105 = -17 + 105 = 88°
12. 12x - 4 = 11x + 3 (vertical angles)
Collect like terms
12x - 11x = 4 + 3
x = 7
Measure of bolded angle = 11x + 3 = 77 + 3 = 80°
