Answer:
a = 7 ($1)
b = 8 ($5)
Step-by-step explanation:
a + b = 15 | (-)
1a + 5b = 47
- a - b = - 15
a + 5b = 47
------------------ +
-a + a - b + 5b = - 15 + 47
4b = 32
b = 32 : 4
b = 8
a = 15 - 8 = 7
Angle MNP is correspondent to angle LKI
Answer:
52°
Step-by-step explanation:
The measure of angle between the ladder and the ground is given as:
Sum of angles in a triangle
38° + x° + 90° = 180
128°+X° = 180°
X° = 180-128
X= 52°
Hence the angle x = 52°
Answer: (B) 7B + (36 * 4) = 184
<u>Step-by-step explanation:</u>
Let B represent the number of seats at each booth
Let T represent the number of seats at each table
Then 7B + 36T = Total seats
Given: T = 4, Total seats = 184
---> 7B + (36 * 4) = 184
Answer:
B
Step-by-step explanation:
12x² - 157x - 40
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 12 × - 40 = - 480 and sum = - 157
The factors are + 3 and - 160
Use these factors to split the x- term
12x² + 3x - 160x - 40 ( factor the first/second and third/fourth terms
= 3x(4x + 1) - 40(4x + 1) ← factor out (4x + 1) from each term
= (4x + 1)(3x - 40) ← in factored form → B
