Answer: (6, -1)
Step-by-step explanation:
Plug each pair in:
3(6)+7(-1)=11
11=11
True, so the first pair works.
Answer:
x = -5 and y = 3
Step-by-step explanation:
There are two equations :
3x − 2y = −21 ....(1)
2x + 5y = 5 ......(2)
Multiply equation (1) by 2 and equation (2) by 3.
6x - 4y = -42 ...(3)
6x + 15y = 15 ....(4)
Subtract equation (4) from (3) :
6x - 4y - (6x + 15y) = -42 -15
-4y -15y = -57
-19y = -57
y = 3
Put y = 3 in equation (2) :
2x + 5(3) = 5
2x = 5-15
2x = -10
x = -5
So, the value of x is (-5) and y = 3.
The measure of x in both parts is: 120°
Step-by-step explanation:
Part A:
We can clearly see that the figure in part a has six equal sides. So the given figure is a hexagon.
A hexagon has six equal sides in six equal interior angles.
Sum of interior angles of hexagon is 720°
So,
Part B:
The figure is a Dodecagon with 12 sides.
The Dodecagon has 12 equal sides and angles.
The sum of internal angles of Dodecagon is 1440°
So,
The measure of x in both parts is: 120°
Keywords: Polygons, Hexagon
Learn more about polygons at:
#LearnwithBrainly
Answer:
see the procedure
Step-by-step explanation:
we know that
m∠1+m∠2=180° -----> supplementary angles (form a linear pair)
we have
m∠1=27° ----> given problem
substitute the measure of m∠1 in the equation above and solve for m∠2
27°+m∠2=180°
Subtract 27° both sides
27°+m∠2-27°=180°-27° ----> by subtraction property of equality
m∠2=153°
Answer:
24
Step-by-step explanat
Divide both the numerator and denominator by the GCD
1032 ÷ 43
43 ÷ 43
Reduced fraction:
24
1
Therefore, 1032/43 simplified to lowest terms is 24/1.
