Answer: 135*
Step-by-step explanation:
35* is what the bottom left side of the triangle angle equals because of congruency.
All triangles = 180*
180 - 100 - 35 = 45*
top angle of triangle = 45 *
said angle (45) + x angle = 180
x = 135*
4) In triangle, angle opposite to perpendicular is 90-60 = 30
So, tan Ф = P/B
tan 30 = a / 6
1/√3 = a/6
a = 6/√3
a = 2√3
Now, cosФ = B/H
cos 30 = 6/b
√3/2 = 6/b
b = 6*2/√3
b = 12/√3
b = 4√3
In short, Your Answer would be a = 2√3 and b = 4√3
Hope this helps!
Answer:n = 10 can make the inequality true
Step-by-step explanation:
The given inequality is
120 greater than or equal to 10n + 20. This means that the least value of n that would make the inequality true would be 10.
If we substitute n = 10 into the right hand side of the given inequality, it would result to 120.
So n = 10 can make the inequality true.
Expand
5x - 5 + 3 = 7x + 7
Simplify 5x - 5 + 3 to 5x - 2
5x - 2 = 7x + 7
Subtract 5x from both sides
-2 = 7x + 7 - 5x
Simplify 7x + 7 - 5x to 2x + 7
-2 = 2x + 7
Subtract 7 from both sides
-2 - 7 = 2x
Simplify -2 - 7 to -9
-9 = 2x
Divide both sides by 2
-9/2 = x
Switch sides
<u>x = -9/2</u>
<em>- (Decimal Form: -4.5)</em>
