
The required zeroes are ~


Let's equate the given polynomial with 0, to find its roots ~
that is ~
there are two cases,
Case # 1 - when (x + √3) = 0
and
Case # 2 - when (x - √3) = 0
Answer:
Option B
The measure of angle b is 75°
Step-by-step explanation:
Method 1
we know that
In a inscribed quadrilateral, the opposite angles are supplementary
so
∠a+60°=180° ------> equation A
∠b+105°=180° -----> equation B
To find the measure of angle b solve the equation B
∠b+105°=180°
Subtract 105° both sides
∠b+105°-105°=180°-105°
∠b=75°
Method 2
see the attached figure with letters to better understand the problem
we know that
The inscribed angle measures half that of the arc comprising
so
∠105°=(1/2)[arc ADC]
arc ADC=2*105°=210°
<em><u>Find the measure of arc ABC</u></em>
we know that
arc ABC+arc ADC=360° -----> by complete circle
arc ABC=360°-210°=150°
<u><em>Find the measure of inscribed angle b</em></u>
∠b=(1/2)[arc ABC]
substitute
∠b=(1/2)[arc 150°]=75°
Answer:
Step-by-step explanation:
Income = 12h - 4.5c
h = 8
c = 2
Income = 12*8 - 4.5*2
Income = 96 - 9
Income = 87
Answer:
x = 109
Step-by-step explanation:
The figure has one pair of parallel sides and is a trapezoid.
The lower base angle is supplementary to the upper base angle on the same side, thus
x + x - 38 = 180 , that is
2x - 38 = 180 ( add 38 to both sides )
2x = 218 ( divide both sides by 2 )
x = 109
Last week, Christopher drove 480 miles
This week, Christopher drove 360 miles
The difference in miles this week compared to last week = 480 - 360 = 120 miles.
The percentage of decrease in miles compared to last week's = (Difference in miles ÷ Total miles last week) multiplied by 100 = (120 ÷ 480) x 100 = 0.25 x 100 = 25%