Answer:
Step-by-step explanation:
<h3><u>Given:</u></h3>
θ = 71°
Adjacent = AB = 6.3 cm
<h3><u>Required:</u></h3>
Hypotenuse = BC = ?
We will use the trigonometric ratio of cos.
![\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos%20%5Ctheta%20%3D%20%5Cfrac%7BAdjacent%7D%7BHypotenuse%7D%20%5C%5C%5C%5Ccos%20%5C%2071%20%3D%20%5Cfrac%7B6.3%7D%7BBC%7D%20%5C%5C%5C%5C0.33%20%3D%20%5Cfrac%7B6.3%7D%7BBC%7D%20%5C%5C%5C%5CBC%20%3D%5Cfrac%7B6.3%7D%7B0.33%7D%20%5C%5C%5C%5C%5Cboxed%7BBC%20%3D%2019.4%20%5C%20cm%7D%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
3/8+1/16=6/16+1/16=(6+1)/16=7/16
Answer:
Step-by-step explanation:
So, our equation is:
In exponetial form, this looks like:
Now lets cube the 5:
Next, we can multiply the denominator on the right side by 5:
We need to now get x alone by adding 4 to both sides:
Finally, we divide by x's coefficent, 2, to get:
Hope this helps! :3
A. The relationship of <7 and <8 are that they are vertical angles, and are congruent.
B. Since vertical angles are congruent, you can form an equation where the two measurements equal each other.
C. 5y-29=3y+19 then plug y into your equation: 5*24-29=91
2y=48 and so: <7 = 180-91=89 (and since <8 is congruent)
y=24 <8 also equals 89
Your second problem:
complementary are two angles that add up to 90 degrees.
<B=x, <A=2x
2x+x=90
3x=90
x=30 so: <B=30 degrees, <A=60 degrees
Your third problem:
1. Since A and B are parallel, angle 3x+7 and angle 4x+5 are same-sided exterior angles. That means that they both add up to 180 degrees. So if you should add the two and make it equal 180
2. 3x+7+4x+5=180
7x+12=180
7x=168
x=24
3. <6 is a corresponding angle with angle 3x+7, meaning that they are congruent. So plug x into 3x+7: 3*24+7=79 and since <6 is congruent to 3x+7, <6=79 degrees
I think it’s 15..
cause you replace the x with -5 and solve the problem
