Answer:
the pair of equations y = 3, z = 7 represent the intersection of two plans, The set of points is (0,3,7) and the line is parallel to x axis.
Step-by-step explanation:
Consider the provided equation.
y=3 represents a vertical plane which is in xy plane.
Z=7 represents a horizontal plane which is parallel to xy plane
The both planes are perpendicular to each other and intersect.
y=3 and z=7 is the intersection of two plans, where the value of x is zero y=3 and z=7.
The set of points is (0,3,7) and the line is parallel to x axis.
Triangle ABC is an isosceles triangle.
Solution:
Given data:
∠ABC = 70° and ∠ACD = 55°
<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>
m∠BAC = m∠ACD
m∠BAC = 55°
<em>Sum of the angles in a straight line add up to 180°.</em>
m∠ACD + m∠ACB + m∠ABC = 180°
55° + m∠ACB + 70° = 180°
m∠ACB + 125° = 180°
Subtract 125° from both sides, we get
m∠ACB = 55°
In triangle ABC,
∠BAC = 55° and ∠ACB = 55°
∠BAC = ∠ACB
Two angles in the triangle are equal.
Therefor triangle ABC is an isosceles triangle.
9514 1404 393
Answer:
θC = π/4
Step-by-step explanation:
To find the desired angle, subtract multiplies of 2π until the angle is in the desired range.
9π/4 -2π = (9-8)π/4 = π/4
The angle θC = π/4 is coterminal with θ = 9π/4.
Answer:
v = 21
Step-by-step explanation:
the sum of the interior angles of a triangle is 180 degrees
add all 3 angle measures and set equal to 180:
4v + 2v + 54 = 180
6v = 126
v = 21
Since there are 60 seconds in a minute multiply 8 by 60
The rate is 480 feet per minute.
