Answer:
∠5
Step-by-step explanation:
A linear pair of angles create a straight line
The only angle that creates a straight line with ∠1 is ∠5 therefore cyan is the answer
Answer:
x=3
y=11
Step-by-step explanation:
5x + 2y = 37
y = x + 8
5x+2(x+8)=37
5x+2x+16=37
7x=21
x=3
y = (3) + 8
y=11
Answer:
58.33%
Step-by-step explanation:
is %
-------- = ---------
of 100
Just plug in the numbers based on what it tells you.
What % = goes in the % spot
of 60 = goes in the of spot
is 35 = goes in the is spot
35 x
--------- = ---------
60 100
Cross multiply:
60 * x = 60x 35 * 100 = 3500
60x = 3500
Divide by 60 to get x by itself.
3500 / 60 = 58.33
Put the percent sign after it:
58.33%
I hope this helps.
Answer:
-100x=-100
x=1
Step-by-step explanation:
(simplifying the equation)
-100x-100=0
-100x=-100 they subtracted -100 from both sides
x=1 then divided by -100
:) ur welcome
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
