The correct answer is c y=5
Since these are supplementary angles (two angles which sum to 180°) we can say:
4x+x=180 combine like terms on left side
5x=180 divide both sides by 5
x=36°
Answer:
C. 4.2a + 0.8
Step-by-step explanation:
Given:
The two binomials given for addition are:
and 
Now, adding both the binomials, we get:
Distributing the positive sign inside the second binomial, we get:
Now, combining like terms using the commutative property of addition, we get:
Simplifying the above expression, we get:
Therefore, the resulting addition of the given binomials is 
Hence, option C is the correct answer.
Answer:
height = 78 yd
Step-by-step explanation:
<u>Formula</u>
Volume of a rectangular prism = width × length × height
Given:
- volume = 4,212 yd³
- width = 2 yd
- length = 27 yd
Substituting given values into the formula and solving for height:
⇒ 4212 = 2 × 27 × height
⇒ 4212 = 54 × height
⇒ height = 4212 ÷ 54
⇒ height = 78 yd
Answer:
Yes
Step-by-step explanation:
Given that there is ¹/12 foot in 1 inch, this can be interpreted as being the constant of proportionality for the relationship between feet and inches. This means, for the graph to be said to represent this relationship, the constant of proportionality, which is y/x must be ¹/12.
How do we know this? Check this out using the four points given on the graph.
(12, 1) => y/x = ¹/12
(24, 2) => y/x = ²/24 = ¹/12
(36, 3) => y/x = ³/36 = ¹/12
(48, 4) => y/x = ⁴/48 = ¹/12
As we can see, the graph represents the shows a relationship between feet and inches.
