Answer:
x ≈ 3.9
Step-by-step explanation:
Call the segment shared by the two triangle "y". The Pythagorean theorem tells you ...
sum of squares of sides = square of hypotenuse
y² +6² = 10²
x² +7² = y²
Substituting for y² using the second equation, we get ...
x² +7² +6² = 10²
x² = 10² -7² -6² = 100 -49 -36 = 15
Taking the square root, we find ...
x = √15 ≈ 3.9
Answer:
5 cups
The Commutative Property of Addition
Step-by-step explanation:
They have a common denominator of 12
21/12+6/12+20/12+4/12+3/12+6/12=60/12=5 cups
or you could group ingredients with the same denominators
7/4+1/4+1/2+1/2+5/3+1/3=
8/4+2/2+6/3=
2+1+2=5
The Commutative Property of Addition says the order of the numbers doesn’t change the outcome.
Answer: Answers provided below in sequential order.
Step-by-step explanation: UV = 12(3)-1
(They said that x = 3)
UV = 35 (12*3-1)
70 = TV
TU = UV
8x + 11 = 12x - 1
-4x = 10
x = -10/4 or -5/2 (simplified)
TU = 8 (3) + 11
TU = 35 (24+11)
Answer:
B
Step-by-step explanation:
Given
(4x + 3)(3x - 4)
Each term in the second factor is multiplied by each term in the first factor, that is
4x(3x - 4) + 3(3x - 4) ← distribute both parenthesis
= 12x² - 16x + 9x - 12 ← collect like terms
= 12x² - 7x - 12
The coefficient of the x- term is - 7 → B
Answer:
12
Step-by-step explanation:
