Answer:
69°, 69°, and 42°
Step-by-step explanation:
Isosceles triangles have three angles -- one vertex angle and two base angles.
The <u>base angles have the same measure</u> and the vertex angle has a different measure.
<u>Remember all triangles' interior angles sum to 180°.</u>
If the vertex angle is 42°, then the two base angles combined are:
180° - 42° = 138°
Since the base angles are the same, <u>each base angle is:</u>
138° ÷ 2 = 69°
Therefore the angles in the triangle measure 69°, 69°, and 42°.
Answer:
56.33 is the average of miles per hour.
Step-by-step explanation:
Answer:
Honestly? I have no idea.. must be some sort of update...You cant message brainly users either.
Step-by-step explanation:
Have a nice day! <3
Answer:
The equation is ( x² / 9 ) - ( y² / 7 ) = 1
Step-by-step explanation:
Given the data in question;
hyperbola is centered at the origin, this means h and k are all equals to 0.
Vertices: (-3,0) and (3,0)
Since y-coordinates are constant, this implies it is a hyperbola with horizontal transverse axis.
h - a = -3
0 - a = -3
a = 3
Foci: (-4,0) and (4,0)
h - c = -4
0 - c = -4
c = 4
we know that, for a hyperbola
c² = a² + b²
so
⇒ ( 4 )² = ( 3 )² + b²
16 = 9 + b²
b² = 16 - 9
b² = 7
So the equation for the hyperbola will be;
⇒ ( (x-h)² / a² ) - ( (y-k)² / b² ) = 1
so we substitute
⇒ ( (x-0)² / 3² ) - ( (y-0)² / 7 ) = 1
⇒ ( x² / 3² ) - ( y² / 7 ) = 1
⇒ ( x² / 9 ) - ( y² / 7 ) = 1
Therefore, The equation is ( x² / 9 ) - ( y² / 7 ) = 1
Answer:
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 3, - 1), thus
y = a(x + 3)² - 1
To find a substitute (4, 0) into the equation
0 = 49a - 1 ( add 1 to both sides )
49a = 1 ( divide both sides by 49 )
a =
y = (x + 3)² - 1
coefficient of the x² term is