For the first triangle the sum of angles in any given triangle is equal to 180 degrees.
The equation for the first triangle would be: 60+80+x+51= 180
Solving it we get: 191+x=180
x=-11.
The second triangle’s equation is: 90+45+52+x= 180
Solving it we get: 187+x=180
x=-7
The third triangle’s equation is: 4+7x= 90
This is because it is a right angle.
Solving it we get: 12.2 (rounding)
x=about 12.2
For the fourth triangle the equation is: 6x-5+5x=105 (we subtract 75 to 180 to get the sum of the other two angles)
Solving it we get: 11x=110
x=10.
Hope this helps! ( and if you can please give brainliest, it would mean a lot!)
Answer: 1.11
Step-by-step explanation:
with tangent I guess A+B=C, B goes over A. But like I bet you're wondering how will yk which is a or b? idk either, but I tried my luck and got it right. So yk how C (hypotenuse) is always the biggest number? Well whichever number is bigger (A or B) the bigger number will go over the smaller one and then you round it to the nearest hundredth. I'm not good at rounding, so I used Math//way to get it for me. So it could be like , 12+36=40 (just picking random numbers), 36 will go over 12. And then you round it. I hope thus makes sense, it's 5:40AM rn. I should be sleep because I have a job interview at 3PM today.
<span>In triangle XYZ,
angle X=46 degrees,
XZ = 10 units and
YZ=8 units.
We will find the length of XY using cosine rule:
According to cosine rule:
a² = b² + c² - 2bc cosA (the figure is attached)
Here, A = 46 degree.
a = 8 units.
b <span>= ?
</span>c = 10 units.
</span>⇒ b² = c² - a² -2bc cosA
⇒ b² = 100 - 64 - 160*cos(46)
⇒ b² = 100 - 64 - 160*0.69
⇒ b² = 100 - 64 - 110.4
⇒ b² = 100 - 64 - 110.4
⇒ b² = 74.4
or b = 8.62 units.
or b = 8 untis approximately.