Answer:
x = 52, A.
Step-by-step explanation:
The two angles across from each other are both acute angles, which means that considering their positioning, they're gonna equal the same in degrees. If the question were asking to find the value of x on one of the obtuse angles, your answer would be B, considering both of those lines would equal 180 degrees.
Hope that helps!
Answer:
5.714 liters of the 5% solution and 4.286 of the 40%.
Step-by-step explanation:
Let x be the volume of 40% solution and y = volume of the 5% solution.
x + y = 10
0.40x + 0.05y = 0.20(x + y)
From the first equation x = 10 -y so we have:
0.40(10 - y) + 0.05y = 0.20( 10 - y + y)
4 - 0.40y + 0.05y = 2
-0.35y = -2
y = 5.714 liters of the 5%.
and x = 10 - 5.714 = 4.286 liters of the 40% solution.
Step-by-step explanation:
Given:
Per month fee = $55
One-time recital fee = $165
The equation represents the $495 total cost that Barbara paid to Dance Unlimited.
To find:
We need to find the number of month Barbara receive dance lessons from Dance Unlimited.
Solution:
We have,
Here, m is number of months. We need to isolate m.
Subtract 165 from both sides.
Divide both sides by 55.
The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.
Answer:
X= 17.5
Step-by-step explanation:
the outside of the triangle always = 180
so you need to add up all the sides and equal to 180
5x+35+x+5+2x=180
add like terms
8x+40=180
get the x alone
x=17.5
60° because it's an equilateral triangle
