Answer:
1,020
Step-by-step explanation:
25.5 times 40 equals 1,020
<h3>
Answer: Choice C</h3>
The base 16 is the same as 4*4.
From there, the rule
is used to get 
Afterward, the exponents are added getting 1/2+1/2 = 2/2 = 1. The rule is
which only works if the bases are both the same.
General Idea:
The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal.
Applying the concept:
Angles PBC and BAD are congruent by the <u>Corresponding Angle Theorem</u>.
Angles ABC and BAT are congruent by the <u>Alternate Interior angle Theorem</u>.
Answer:
5
Step-by-step explanation:
first term + (10-1)7=68
first term= 68- 63=5
The equation in which b varies directly as the <em>square</em> root of c is b = 50 · √c. (Correct choice: B)
<h3>What is the equation of the direct variation between two variables?</h3>
In this problem we have a case of <em>direct</em> variation between two variables, which is mathematically described by a <em>direct proportionality</em> model, whose form and characteristics are shown below:
b ∝ √c
b = k · √c (1)
Where k is the <em>proportionality</em> constant.
First, we determine the value of the constant of proportionality by substituting on b and c and clearing the variable: (b = 100, c = 4)
k = b / √c
k = 100 / √4
k = 100 / 2
k = 50
Then, the equation in which b varies directly as the <em>square</em> root of c is b = 50 · √c. (Correct choice: B)
To learn more on direct variation: brainly.com/question/14254277
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