What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)? 3 6 112 121
2 answers:
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<u>Part 1) </u>
<u>Find m∠a</u>
m∠a=54° --------> by vertical angles
<u>Find m∠b</u>
m∠b=54° --------> by corresponding angles
<u>Find m∠c</u>
m∠c=m∠a=54°-----> by corresponding angles
or
m∠c=m∠b=54° --------> by vertical angles
therefore
<u>the answer part 1) is equal to</u>
a) the measure of angle a is 54°
b) the measure of angle b is 54°
c) the measure of angle c is 54°
<u>Part 2) </u>
<u>Find m∠d</u>
we know that
m∠d=65° --------> by corresponding angles
<u>Find m∠c</u>
m∠d+m∠c=180° -----> by supplementary angles
solve for m∠c
m∠c=180-m∠d-------> m∠c=180-65°=115°
m∠c=115°
<u>Find m∠b</u>
m∠b=m∠d=65° -------> by alternate exterior angles
<u>Find m∠a</u>
we know that
m∠a+m∠b=180 -------> by consecutive interior angles
m∠a=180- m∠b---------> m∠a=180- 65-----> m∠a=115°
therefore
<u>the answer Part 2) is </u>
a) The measure of angle a is 115°
b) The measure of angle b is 65°
c) The measure of angle c is 115°
d) The measure of angle d is 65°
<u>Part 3) </u>
Let
x--------> the angle unknown ( see the attached figure to better understand the problem)
<u>Find m∠x</u>
we know that
m∠x=54° -------> by corresponding angles
<u>Find m∠a</u>
(2*m∠x)+(m∠a)=180 -------> by supplementary angles
m∠a=180-2*m∠x------> m∠a=180-2*54°----->m∠a=72°
<u>Find m∠b</u>
(m∠a+m∠x)=m∠b ------> by corresponding angles
m∠b=72°+54°-------> m∠b=126°
therefore
<u>the answer Part 3) is</u>
a) The measure of angle a is 72°
b) The measure of angle b is 126°
c) The measure of angle x is 54°
The relation between the length and width is
Perimeter is 80.
Substitute the expression for l
Perimeter is 80.
Substitute the expression for l