37+y=87
y=87-37
y=50
............................
Answer:
Step-by-step explanation:
Part (A).
Angles ABC and CBD are the supplementary angles.
Therefore, m(∠ABC) + m(∠CBD) = 180°
Now substitute the measure of each angle in the equation,
(5x + 12)° + (13x + 24)° = 180°
18x + 36 = 180
18x = 180 - 36
18x = 144
x = 8
Part (B).
m∠ABC = (5x + 12)
= 5(8) + 12
= 52°
m∠CBD = (13x + 24)
= 13(8) + 24
= 104 + 24
= 128°
Part (C).
We can check the results by adding measures of these angles.
m∠ABC + m∠CBD = 52 + 128
= 180°
Therefore, both the angles are supplementary angles which is already given.
{3x+2y=4 /*5
{4x+5y=17 /*(-2)
{15x+10y=20
<u>{-8x-10y=-34 </u>(+)
<em>7x=-14</em><em />
<em>x=-2</em>
15x+10y=20
15*(-2)+10y=20
-30+10y=20
10y=50
<em>y=5</em>
Answer:
(8x-9)(8x+9)
Step-by-step explanation:
64x^2 - 81
Rewriting
(8x)^2 - 9^2
We recognize that this is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(8x-9)(8x+9)
Answer:
The Terry's resultant speed is 27mi/h
Direction of ferry=20°
Step-by-step explanation:
(-25,0) + ( 0, 9)= (-25, -9) is the vector representing the movement of the ferry
Speed of ferry = sqrt[(-25)^2 + (-9)^2]
Speed= sqrt (-625 + (-81))
Speed= sqrt(-706)
Speed=26.57mi/h
Nearest tenth,speed= 27mi/h
Tanz° = (-9/-25)
Tanz°= 0.36
Z°= tan^-1 0.36
Z= 19.80°
Nearest tenth,z=20°
