Answer:
Area of the rectangle A = 32 x - 8
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the length of the rectangle(l) = 8x-2
Given that the width of the rectangle (w) = 4
Area of the rectangle = length × width
A = (8x - 2) × 4
A = 32 x - 8
<u><em>Final answer</em></u>:-
Area of the rectangle A = 32 x - 8
Jun collect stamps and baseball cards.
He has 1,834 stamps and 1,286 baseball cards.
We have to compare the number of stamps and baseball cards.
Number of stamps = 1,834
number of baseball cards = 1,286
1834 > 1286
So number of stamps is more than the cards.
In 2.5 hours, he could drive 175 miles
Answer:
B' = 105°
C = 27°
A = 48°
Step-by-step explanation:
Given
B = 105°
C = (2x - 3)°
C' = (5x - 48)°
Rotation = 90°
Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.
i.e. an angle retain its measurements pre and after rotation.
Solving (a): The measurement of B'
Using the analysis above.
B' = B
Recall that
B = 105°
So:
B' = 105°
Solving (b): A and C
First, I'll solve for C.
Using the same analysis above.
C = C'
Substitute values for C and C'
5x - 48 = 2x - 3
Collect like terms
5x - 2x = 48 - 3
3x = 45
Multiply both sides by ⅓
⅓*3x = ⅓*45
x = 15
Substitute 15 for x in
C = (2x - 3)°
C = 2 * 15 - 3
C = 30 - 3
C = 27°
Solving for A
The sum of angles (A, B and C) is represented as:
A + B + C = 180
Substitute values for B and C
A + 105° + 27° = 180°
A + 132° = 180°
Collect like terms
A = 180° - 132°
A = 48°
The 4th option would be correct.
{X | - Root 5 < x < Root 5 }