Answer:
Part a) The measure of an exterior angle is 60°
Part b) The measure of an interior angle is 120°
Step-by-step explanation:
step 1
Find the value of x
we know that
A regular polygon has equal sides and equal interior angles
The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)
so

solve for x


step 2
Find the measure of an exterior angle
2x
substitute the value of x

step 3
Find the measure of an interior angle
4x
substitute the value of x

In this problem the regular polygon is a hexagon
Answer: 48
Step-by-step explanation:
The share of sand in the mixture is 3/7
To make 112 kgs. of concrete, he will need
3/7 x 112 = 48 units of sand
Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
Answer:
First of all you need to know the
it's equal to 2 and
which is the number is between 1 and 2 and between that number there maybe the possibilities of above 0.5 or under 0.5
After that Figure out which one was bigger?
or
? The answer is
and
also near to
so it should be above 0.5 .
So we know that
is between 1 and 1.5.
Hopes that information was help you a lot
Answer:
The length of rectangle is
The width of rectangle is
Step-by-step explanation:
Let
x-----> the length of rectangle
y----> the width of rectangle
we know that
The area of rectangle is equal to


so
-----> equation A
-----> equation B
substitute equation B in equation A and solve for y

using a graphing calculator
The solution is

Find the value of x
----->