One rule in Geometry is the vertical angle theorem. This is when two angles are directly across from each other, they would equal each other. This means that (3x+54) and (7x+10) will equal each other, giving you the function
3x+54=7x+10
Knowing this, all we would need to do now is solve for x. To do this, lets get x to the left. We do this but subtracting both sides by 7x to get rid of 7x on the right side, and bring it to the left
3x+54=7x+10 ------> 3x-7x+54=10 --------> -4x+54=10
Now, lets get x by itself, but subtracting both sides by 54, then dividing both sides by -4
-4x+54=10 ---> -4x=10-54 ---> -4x=-44 ---> x=-44/-4 ---> x= 11
So, we know that x=11. Now, we can plug it into either function. It doesn't matter which one since they both equal each other
f(x)=7x+10 ---> f(11)=7(11)+10 = 77+10 = 87
Our answer is 87
Answer:
175°
Step-by-step explanation:
Since, is in the interior of
Your answer would be the last option, 80 cm.
As this is a right triangle, you can use Pythagoras's Theorem, a² + b² = c², where 'c' is the hypotenuse and 'a' and 'b' are the legs, to find the missing side.
This gives us:
48² + 64² = 2,304 + 4,096 = 6,400
√6,400 = 80
So 80 is your answer.
I hope this helps!
Answer:
The value of x = 5 answer (a)
Step-by-step explanation:
∵ There is a line parallel to the base of the Δ and intersected the other two sides formed a small Δ inside the large triangle
∴ The small Δ and the large Δ are similar
∴ Their sides are proportion
∴
∴
∴ x(2x - 1) = (x - 2)(2x + 5)
∴ 2x² - x = 2x² + 5x - 4x -10
∴ 2x² - x = 2x² + x - 10
∴ -x - x = -10
∴ -2x = -10
∴ x = -10 ÷ -2 = 5