Answer:
<em>x = 62°, y = 103°</em>
Step-by-step explanation:
<u>Supplementary Angles</u>
Two angles are called <em>supplementary</em> when their measures add up to 180 degrees.
The image shows two pairs of supplementary angles. We have to find the value of the unknown variable.
The first drawing shows supplementary angles x and 118°. They must satisfy the equation:
x + 118° = 180°
Subtracting 118°:
x = 180° - 118°
x = 62°
From the second drawing, we set up the equation:
y + 77° = 180°
Subtracting 77°:
y = 180° - 77°
y = 103°
Answer:
H=9;8)
B=(5;4) (ball)
R=(7;0) (hit point)
B'=symetric of B axis perpendicular of x in R
B'=(7+(7-5);4)=(9;4)
Equation BR: y-4=(0-4)/(7-5)(x-5)==>y=-2x+14
Equation RB': y-4=(4-0)/(9-7)(x-9)==>y=2x-14
Is H a point of RB'? y=2x-14 : 8=? 2*9-14==>8=?4 No!
you will not make your putt
Step-by-step explanation:
Answer:
3000
Step-by-step explanation:
1000 + 2000 = 3000
Answer:
3/8
Step-by-step explanation:
You don't know whether they are young or old and your not replacing them so your best answer is 3/8.
The minimum value for 2x is 0
<span>the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC </span>
<span>base AB = 52 and vertical angle 2x + 34° </span>
<span>For the sine law </span>
<span>(sin 2x)/22 = (sin ADB)/AB </span>
<span>(sin 34°)/30 = (sin BDC)/BC </span>
<span>is given that AB = BC, and sin ADC = sin BDC because they are supplementary, so from </span>
<span>(sin ADC)/AB = (sin BDC)/BC </span>
<span>it follows </span>
<span>(sin 2x)/22 = (sin 34°)/30 </span>
<span>sin 2x = 22 (sin 34°)/30 </span>
<span>2x = asin(22 (sin 34°)/30) ≈ 24.2° </span>
<span>x = 0.5 asin(22 (sin 34°)/30) ≈ 12.1° </span>
<span>0 < x < 12.1°</span>
