Answer:
5 1/4
Step-by-step explanation:
Answer: x = 13.4
Step-by-step explanation:
We translate 'English' to 'math':
'decreased by' is subtraction
'is' means '='
12(x - 10) = 2x + 14
12x - 120 = 2x + 14
subtract 2x from each side
10x - 120 = 14
Add 120 to each side
10x = 134
Divide by 10 , to isolate the 'x'
x = 13.4
If we substitute 13.4 for 'x' back in the first equation, we get 40.8 for each side, so the equation balances.
I hope this helps.
Answer:
the answer is 91
Step-by-step explanation:
Answer:
√10 / 10
Step-by-step explanation:
tan θ > 0 and sin θ < 0, so θ is in quadrant III. That means cos θ < 0.
cos(θ + π/4)
Use angle sum formula.
cos θ cos(π/4) − sin θ sin(π/4)
½√2 cos θ − ½√2 sin θ
Factor.
½√2 cos θ (1 − tan θ)
½√2 cos θ (1 − 2)
-½√2 cos θ
Write in terms of secant.
-½√2 / sec θ
Use Pythagorean identity (remember that cos θ < 0).
-½√2 / -√(1 + tan²θ)
-½√2 / -√(1 + 2²)
½√2 / √5
√10 / 10
Answer: C. 65
Step-by-step explanation:
Concept:
Here, we need to know the concept of an isosceles triangle.
An isosceles triangle is a triangle that has any two of its sides equal to each other. The corresponding angles of the equal sides are also equal.
If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
Let x be m∠EGF
2x + 50 = 180 ⇒ Write the equation
2x + 50 - 50 = 180 - 50 ⇒ Subtract 50 on both sides
2x = 130 ⇒ Simplify
2x / 2 = 130 / 2 ⇒ Divide 2 on both sides
x = 65 ⇒ Simplify
Hope this helps!! :)
Please let me know if you have any questions
