First, solve for each of the angles. Since it is a right triangle, one of the angles is 90 degrees. Knowing that the sum of the angles of a triangle are always equal to 180 degrees, you can write an equation for the triangle.
Angle1+ angle2+angle3=180.
Which means that 90+(x+15)+2x=180.
After finding the value of x, which is 25 in this case, solve for each angle.
X+15=25+15=40.
2x=25*2= 50
The value of the smallest angle is 40 degrees.
54.2 degrees
explanation:
180-125.8 = 54.2
Answer:
35
Step-by-step explanation:
70 time 0.5
1. multiply 7 times 5 which equals 35
2. move decimal one time because have a zero in 70
3. your answer is 35
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The value of k is (A) 20/3.
<h3>
What is a parabola?</h3>
- A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics.
- It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.
- A point and a line are two ways to describe a parabola.
To find the value of k:
Where (a, b) is the vertex and c is the constant.
- (a, b) = (-4, k)
- y - k = c (x - (- 4))²
- y - k = c (x + 4)²
So,
- x = 0, y = 12
- 12 - k = 16c
- k = 12 - 16c ...... (1)
Then,
- (-3, 7) = (x, y)
- 7 - k = c (1)²
- k = 7 - c ...... (2)
Now,
- 12 - 16c = 7 - c
- 12 - 7 = 16c - c
- 5 = 15c
- c = 5/15 = 1/3
So, the value of k:
- k = 12 - 16 (1/3) = 12 - 16/3 = 36-16/3 = 20/3
Therefore, the value of k is (A) 20/3.
Know more about a parabola here:
brainly.com/question/4061870
#SPJ4
The complete question is given below:
The coordinates of the vertex of a parabola in the XY plane are (-4,k). If the y-intercept of the parabola is 12 and the parabola passes through the point (-3,7), then what is the value of k?
(A) 20/3
(B) 16/5
(C) 14/3
(D) 12/5
Answer:
a=2
Step-by-step explanation:
12a - 5 = 4a + 11
Subtract 4a from each side
12a-4a - 5 = 4a-4a + 11
8a -5 = 11
Add 5 to each side
8a -5+5 = 11+5
8a = 16
8a/8 = 16/8
a =2
