They are called vertical angles because the definition of vertical is: <span>in a direction, or having an alignment, such that the top is directly above the bottom. The "angles opposite each other when two lines cross" match the definition.</span>
Answer:
-3
Step-by-step explanation:
2a - 6 = 4a
subtract 2a giving you -6 = 2a
divide by 2 from both sides so that a will be by itself
giving you -6 ÷ 2 = a
-6 ÷ 2 = -3
so a = -3
Answer:
a very weak relationship between cost and volume
Step-by-step explanation:
The R factor is used to access the strength of the relationship between a dependent and independent variable. The R factor ranges between - 1 and 1. With negative values depicting a negative linear relationship and positive values meaning a positive relationship. The closer the R factor is to - 1 or + 1, the greater the strength, a value of 0 means, no correlation exists.
Hence, a R factor of 0.15 depicts a positive but very weak relationship between cost and volume as the R value is close to 0.
1). The slope is 6 and the y-intercept is 10 .
2). The slope is zero and the y-intercept is 100.
Answer:
Step-by-step explanation:
Angles 153 and QRP are straight angles, and thus Angle QRP is
180 - 153, or 27 degrees.
The interior angles of the triangle must sum up to 180 degrees:
27 + (3y + 5) + (2y - 7) = 180.
combining like terms, we get:
5y - 25 = 180, or 5y = 155, or y = 31
Then Angle Q is 3(31) + 5, or 93
Angle P is 2(31) - 7, or 55, and
Angle QRP is 27 degrees (found earlier).
