Answer:
The value of x is 4.
Step-by-step explanation:
It is given that triangle MRN is created when an equilateral triangle is folded in half.
It means original equilateral is triangle MNO and NR is a perpendicular bisector (<em>A line which cuts a line segment into two equal parts at 90°</em>).
The side length of the triangle is
NO = NS + SM = 6 + 2 = 8
Since an equilateral triangle is a triangle in which all three sides are equal and NR is a perpendicular bisector, therefore
RM = MO/2 = 8/2 = 4
The value of x is 4.
t N.
In the figure shown below
Answer:
A horizontal line segment M K intersects with line segment J L at their midpoint N.
∠J N M =(5x+2)°
∠ LN M=3( x+ 14)°
So, ∠J N M + ∠ LN M =180°[ These two angles form linear pair.Angles forming linear pair are supplementary.]
⇒5 x+ 2+ 3 (x+ 14) =180 [ By Substitution]
⇒ 5 x+2 +3 x+42°= 180°
⇒ 8 x=180°-44°
⇒8 x= 136°
⇒x= 136°÷8
⇒x=17°
So, ∠J N M =5×17 +2=87°
∠ LN M= 3×(17 +14)=3×31=93
∠J N M =∠K N L [Vertically opposite angles]
∠K N L=87°
We can use the concept of commutative property of addition here. We know that the addition follow the commutative property.
The commutative property of addition is given by
It means, if we change the order, it will not affect the result.
Therefore, using above mentioned property, we can see that
1+7 = 7+1
Hence, if we know the value of 1+7, then we can easily find the value of 7+1 because both are same.
Answer:
In the figure ∠ABO and ∠BCO have measures equal to 35°.
Step-by-step explanation:
<u><em>The complete question is</em></u>
For circle O, m CD=125° and m∠ABC = 55°
In the figure<____, (AOB, ABO, BOA) and <_____ (BCO, OBC,BOC) have measures equal to 35°
The picture in the attached figure
step 1
Find the measure of angle COB
we know that
----> by central angle
we have
therefore
step 2
we know that
AB is a tangent to the circle O at point A
so
ABC and ABO are right triangles
In the right triangle ABC
Find the measure of angle BCA
Remember that
---> by complementary angles in a right triangle
we have
substitute
step 3
In the triangle BCO
Find the measure of angle CBO
we know that
---> the sum of the interior angles in any triangle must be equal to 180 degrees
we have
-----> have measure equal to 35 degrees
substitute
step 4
Find the measure of angle ABO
In the right triangle ABO
we know that
----> by angle addition postulate
we have
substitute
----> have measure equal to 35 degrees
therefore
In the figure ∠ABO and ∠BCO have measures equal to 35°.
