Answer:
m∠y=72°
Step-by-step explanation:
<u><em>The question is</em></u>
Find the measure of angle y
step 1
Find the measure of angle x
see the attached figure to better understand the problem
we know that
m∠x=67° -----> by corresponding angles
step 2
Find the measure of angle y
we know that
(m∠x+m∠y)+42°=180° -----> because form a straight line
substitute the measure of angle x
67°+m∠y+42°=180
m∠y+108°=180
m∠y=180°-108°
m∠y=72°
Answer:
Theorem: The diagonals of a parallelogram bisect each other. Proof: Given ABCD, let the diagonals AC and BD intersect at E, we must prove that AE ∼ = CE and BE ∼ = DE. The converse is also true: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
Step-by-step explanation:
Answer:
60°
Step-by-step explanation:
Am equilateral triangle is a triangle that has all its sides and angles equal. Note that an equilateral triangle has 3 sides and angles.
Let the angles be a, b and c
The sum of angle in a triangle is 180°, hence;
a+b+c = 180°
Since a = b = c
The equation becomes;
a+a+a = 180°
3a = 180
a = 180/3
a = 60°
Hence the measure of the angles of an equilateral triangle is 60° for the three angles.
Given:
A plane is normal to the vector = -2i+5j+k
It contains the point (-10,7,5).
To find:
The component equation of the plane.
Solution:
The equation of plane is
Where, 
is the point on the plane and 
is normal vector.
Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is
Therefore, the equation of the plane is .
Answer:
0
Step-by-step explanation:
The slope of the line is 0 as it is parallel to x-axis.
Slope = (y2 - y1)/(x2 - x1)
= (2-2)/(4-(-2))
= 0
