Answer:
19.1
Step-by-step explanation:
27 is half of 54, so that means that the second triangle is 1/2 the size of the first, meaning all sides need to be divided by 2 in order to get the answers for each side
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:
C
Step-by-step explanation:
Sin represents opposite/hypotenuse. Thus, when A is the reference angle, 21 is the measure of the opposite side (CB) and 29 is the measure of the hypotenuse (AB).
Cos represents adjacent/hypotenuse. Therefore, when A is the reference angle, 20 is the measure of the adjacent side (AC) and 29 is the measure of the hypotenuse (AB).
Answer:
The area of the second triangle is 242 cm²
Step-by-step explanation:
In the similar triangles
- The ratio between their perimeters equals the ratio between their corresponding sides
- The ratio between their areas equals square the ratio between their corresponding sides
∵ The length of a pair of corresponding sides of two similar ∆'s are
3 cm and 11 cm
→ Find the ratio of the corresponding sides
∴ The ratio of their corresponding sides = 
∵ The area of the first ∆ is 18 cm²
→ Use the second rule above
∵ 
= 
∵ A1 = 18 cm²
→ Substitute it in the ratio above
∴ 
= 
→ By using the cross multiplication
∵ A2 × 9 = 18 × 121
∴ 9A2 = 2178
→ Divide both sides by 9
∴ A2 = 242 cm²
∴ The area of the second triangle is 242 cm²
