Answer:
Answer: Option D.
Step-by-step explanation:
Hey there!!
Here, To find the equation of a st.line passing through point (3,1) is :
It is the first equation.
Given, Another equation is:
It is 2nd equation.
Comparing the 2nd equation with y = mx+c we get,
Slope (m2) = 2/3.
As per the condition of parallel lines,
m1 = m2 = 2/3.
Putting, the value of m1 in equation 1st we get,
or, 3 (y-1) = 2(x-3)
or, 3y - 3 = 2x - 6
Diving-3/3 = -1.
Therefore, y = 2/3 x - 1 is the required equation.
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>helps</u></em><em><u>.</u></em>
Answer: B = 18 degrees
C = 48 degrees
Step-by-step explanation:
Complimentary angles are angles whose sum is 90 degrees.
Angle A, angle B, and angle C are complementary angles. This means that
A + B + C = 90- - - - - - - - - - - - -1
The measure of angle C is twice the measure of angle A. If the measure of angle A is 24 degrees, it means that the measure of angle C would be 2 × 24 = 48 degrees.
Substituting A = 24 and C = 48 into equation 1, it becomes
24 + B + 48 = 90
72 + B = 90
B = 90 - 72
B = 18 degrees
Answer:
-15 ft or 15 ft below sea level
Step-by-step explanation:
He started at +8 ft.
Then he went 23 ft down, that is -23 ft.
8 ft + (-23 ft) = 8 ft - 23 ft = -15 ft
Answer: -15 ft
Number of applicants = 4500
Number of students accepted = 2300
Acceptance rate = 2300/4500 x 100
Acceptance rate = 51.11% (nearest hundredth)
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Answer: The acceptance rate is 51.11%.
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Answer:
A) 300 cm2
Step-by-step explanation:
First you have to find height
use Pythagorean theorem: a2 + b2 = c2
h2 + 64 =289
h2 = 289-64
h2 = 225
h= 15
now the area
A = a * h
A = 20 * 15
A = 300 cm2