Answer:
x°= 55°
Step-by-step explanation:
First, find the degrees of the larger triangle.
Since every triangle equals 180° degrees, make an equation.
60°+90°+a°= 180°
Now, add the degrees together.
120°+a°= 180°
Then subtract from both sides.
120°+a°= 180°
-120 ° -120°
a°= 60°
Now that you know the sum of all the angles, subtract 25° from 60°(which is the measure of a).
60°-25°= 35°
Now that we have the measurement of the angle from the smaller triangle inside the larger one, make an equation.
35°+90°+x°= 180°
Then, add the degrees.
125°+x°= 180°
Subtract from both sides of the equation to get the answer for the variable.
125°+x°= 180°
-125° -125°
x°= 55°
so, you just use the x's from the table and plug them into the equation to find the y.
y=(1)+9
y=10
y=(2)+9
y=11
y=(3)+9
y=12
y=(4)+9
y=13
i hope this helps :)
<span>Twice the sum of a number and 3 = 2(n + 3)
</span><span>three times the difference of the number and 3 = 3(n - 3)
so
</span><span>Twice the sum of a number and 3 is equal to three times the difference of the number and 3:
</span>2(n + 3) = 3(n - 3)
2n + 6 = 3n - 9
n = 15
answer
2(n + 3) = 3(n - 3)
n = 15
Answer:
8/15
Step-by-step explanation:
In a right triangle, where B is an acute angle, the tan B is equal to the measure of the side opposite B divided by the measure of the shorter side at B
tanB = 16/30 = 8/15
Answer:
The value of n is -6
Step-by-step explanation:
- If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
- If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
- The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
∵ k(x) = x²
→ Its graph is a parabola with vertex (0, 0)
∴ The vertex of the prabola which represents it is (0, 0)
∵ The given graph is the graph of p(x)
∵ Its vertex is (0, -6)
∴ h = 0 and k = -6
∵ a = 1
→ Substitute them in the form above
∴ p(x) = 1(x - 0)² + -6
∴ p(x) = x² - 6
→ Substitute x² by k(x)
∴ p(x) = k(x) - 6
∵ p(x) = k(x) + n
→ By comparing the two right sides
∴ n = -6
∴ The value of n is -6
Look at the attached figure for more understanding
The red parabola represents k(x)
The blue parabola represents p(x)
