A straight line is 180 degrees:
25x + 8 + 9x + 2 = 180
Combine like terms:
34x + 10 = 180
Subtract 10 from both sides:
34x = 170
Divide both sides by 34:
X = 5
Now solve the smaller angle:
9x + 2 = 9(5) + 2 = 45 + 2 = 47
They angle with the y is a vertical angle to 47 so needs to also equal 47:
7y + 5 = 47
Subtract 5 from both sides:
7y = 42
Divide both sides by 7:
Y = 6
Answer: x = 5, y = 6
Answer: a. variation in the variable, HOURS SPENT STUDYING explains 43% of the variation in the variable. TEST SCORE
Step-by-step explanation:
The coefficient of determination is denoted by R square is the proportion of the variance in the dependent variable that is predictable from the independent variable.
Given: dependent variable = TEST SCORE
independent variable = HOURS SPENT STUDYING
coefficient of determination = 0.43
That means variation in the variable, HOURS SPENT STUDYING explains 43% of the variation in the variable. TEST SCORE.
Hence, the correct option is a.
Answer:
40x?
Step-by-step explanation:
The answer is 30 cubic inches.
If <span>5 chocolate candies are in 1 cubic inch, 150 </span><span>chocolate candies will be in x cubic inches:
</span>5 chocolate candies : 1 cubic inch = 150 chocolate candies : x<span> cubic inches
</span>5 : 1 = 150 : x
5 = 150 : x
x = 150 : 5
x = 30
So, if <span>150 chocolate candies are in a jar, the volume of the jar is 30 cubic inches.</span>
Using translation concepts, it is found that function g(x) is given by:
g(x) = x + 8.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, function g(x) is a translation 8 units left of f(x) = x, hence x -> x + 8 and:
g(x) = f(x +8) = x + 8.
More can be learned about translation concepts at brainly.com/question/4521517
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