The measure of all the angles is given below:
angle 1= 30
angle 2= 150
angle 3= 30
angle 4= 150
angle 5= 30
angle 6= 150
angle 7= 30
angle 8= 73.5
<h3>What is angle?</h3>
An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
As,
angle 1= 30 (Vertically opposite angle)
angle 7= 30 (corresponding angle)
angle 4+30= 180 (linear pair)
angle 4= 150
angle 4= angle 2= 150 (Vertically opposite angle)
angle 2= angle 6= 150 (corresponding angle)
angle 1= angle 5= 30 (corresponding angle)
angle (2x+3)= angle 4 (corresponding angle)
2x+3= 150
x= 73.5
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Answer:
100% of the daily recommended allowance of vitamin C for adults is 80 milligrams.
Step-by-step explanation:
A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance of vitamin C for adults.
100% will have = 
= 80 milligrams
Hence, 100% of the daily recommended allowance of vitamin C for adults is 80 milligrams.
In this item, it is unfortunate that a figure, drawing, or illustration is not given. To be able to answer this, it is assumed that these segments are collinear. Points L, M, and N are collinear, and that L lies between MN.
The length of the whole segment MN is the sum of the length of the subsegments, LN and LM. This can be mathematically expressed,
LN + LM = MN
We are given with the lengths of the smalller segments and substituting the known values,
MN = 54 + 31
MN = 85
<em>ANSWER: MN = 85</em>
The circumference of a circle that was computed when the diameter is 3cm will be 9.426cm.
<h3>How to find the circumference?</h3>
The circumference of a circle of gotten by the formula:
C = 2πr or πd
where,
r = radius
d = diameter
Since the diameter is given as 3cm, the circumference will be:
= πd
= 3.142 × 3
= 9.426cm
In conclusion, the circumference of the circle is 9.426cm.
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Answer:
Step-by-step explanation:
When taking a square root and making it a radical, we need to list out it's factors and find which one we can take the square root of.
The factors of 40 are:
1, 2, 4, 5, 8, 10, 20, 40.
Out of these, we need to look for one that we can find the square root of.
We know that the square root of 4 is 2.
Therefore, we can make 
into 
.
The square root of 4 is 2. Therefore, we can put that outside the radical.
.
Hope this helped!
