Answer:
∠ 3 = 65°
Step-by-step explanation:
∠ 2 and 115° are a linear pair and sum to 180° , that is
∠ 2 + 115° = 180° ( subtract 115° from both sides )
∠ 2 = 65°
∠ 2 and ∠ 3 are corresponding angles and and are congruent , then
∠ 3 = 65°
Answer:
sohcahtoa
Step-by-step explanation:
Let any integer be represented by x.
Then, the consecutive integer (the number that follows) should be x+1.
The statement wants us to prove;
(x+1)²-x²=x+(x+1) <-- solve left hand side
x²+x+x+1²-x²
2x+1 (solution for left hand side)
Now solve for right hand side.
x+(x+1)= 2x+1
As noticed, the LHS=RHS (left hand side= right hand side), therefore, the difference of squared consecutive numbers subtracted is equal to the sum of the two integers.
Hope I helped :)
Answer:
A) 1/45
B) 1/60
Step-by-step explanation:
<u>Part A</u>
The actual car has a length to width ratio of ...
length/width = (570 cm)/(180 cm) = 57/18 = 3 1/6
The rectangle on the screen has a length to width ratio of ...
length/width = (13 cm)/(4 cm) = 3 1/4
Relative to its width, the screen rectangle is longer than necessary for a model of the car. So, the scale factor will be determined by the width of the car relative to the width of the screen model.
For a model width of 4 cm, the scale factor is ...
model/life-size = (4 cm)/(180 cm) = 1/45
__
<u>Part B</u>
For a model width of 3 cm, the scale factor is ...
model/life-size = (3 cm)/(180 cm) = 1/60
To find the inverse of a function, you swap the x and y values. So instead of y=4x+8, it becomes x=4y+8. Now you re-solve for y, and that’s your answer:
x=4y+8
x-8=4y
1/4x-2=y
So h(x)=1/4x-2, or the first option
