Answer:
x = - 80/17, or x = - 4 
Step-by-step explanation:
13x-11 +18×15+ 4x+1=180°
<=> (13x + 4x) + (18×15+ 1 - 11)=180°
<=> 17x + 260 =180
<=> 17x = 180 - 260
<=> 17x = - 80
<=> x = - 80/17
<=> x = - 4 
Answer:
Triangle PRT is similar to triangle SRQ
Step-by-step explanation:
AA similarity Postulate :If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
one angle is already given : angle RPT congruent to angle RSQ
The other is : angle TRP congruent to angle SRQ (both triangles share the same angle)
Triangle PRT is similar to triangle SRQ (AA postulate)
L=k/r^2,
r^2 is the denominator cause L varies inversely with the square of distance
The answer is B
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x-----> the total number of guests
y -----> the amount of meat
we know that
The inequality that represent this situation is equal to
Note The inequality is "greater than or equal" because the given statement say "at least"
The solution of this inequality is the shaded area above the solid line 
The slope of the solid line is positive
The y-intercept of the solid line is -2
The x-intercept of the solid line is 6
therefore
The graph in the attached figure
Remember that
The values of x an y cannot be a negative number
Answer:
OPTION C: (x - 5)(x + 6)
Step-by-step explanation:
Given: (x - 3)(x + 4) - 18
Product of (x - 3) and (x + 4) = x² + 4x - 3x - 12
Therefore, (x - 3)(x + 4) - 18 = x² + x - 30
This is a quadratic equation and the roots are x = 5, -6.
This can be written as binomials as:
(x - 5)(x + 6) which is the required answer.
So, OPTION C is the answer.