Answer: 112 degrees
Step-by-step explanation: In this problem, we are trying to find the m<5.
Notice that <2 and <3 are vertical angles which means they are congruent.
So we know that the m<3 is 68 degrees.
Now, notice that <3 and <5 are same side interior angles because
they lie on the same side of the transversal and on interior of lines a and b.
Now, it's important to understand that
same side interior angles are supplementary.
So we can setup the equation 68 + m<5 = 180.
Subtracting 68 from both sides, we have the m<5 = 112.
So the m<5 is 112 degrees.
Given:
The width of a rectangle is x centimeters and its length is (x+ 2) cm.
To find:
The expression for the perimeter of the rectangle.
Solution:
We know that, perimeter of a rectangle is
We have,
Width = x cm
Length = (x+2) cm
Putting these values in the above formula, we get
Therefore, the required expression for the perimeter of the rectangle is (4x+4) cm.
Answer:
24.997 cm
Step-by-step explanation:
Find the diameter:
7(2) = 14 cm
Find the circumference:
C = 
C = 
C = 43.988
Divide the circumference by 4:
43.988/4 = 10.997
(This is the length of the curved side)
Add length to the other 2 sides:
7 + 7 + 10.997 = 24.997
Answer:
x = -6
Step-by-step explanation:
Solve for x:
-x/3 = 2
Multiply both sides of -x/3 = 2 by -3:
(-3 (-x))/3 = -3×2
-3×(-1)/3 = (-3 (-1))/3:
(-3 (-1))/3 x = -3×2
(-3)/3 = (3 (-1))/3 = -1:
--1 x = -3×2
(-1)^2 = 1:
x = -3×2
-3×2 = -6:
Answer: x = -6
Answer:
its a right angle and a its an acute angle as well so it be 5
