Greetings!
The best way to compare fractions is to find the LCM (The Lowest Common Denominator) of each of the fractions. This can be done simply by listing the multiples of the denominators.
Multiples:
3: 3,6,9,12,15,18,21,24,27...210,213
10:10,20,30,40,60,70,80...210,220
6: 6,12,18,24,30,36,42,48...210,216
7: 7,14,21,28,35,42,49...210,217
The LCM is 210:
3*70=210
10*21=210
6*35=210
7*30=210
Now, we must do what we do the denominators to the numerators:
1*70=70
70/210
2*21=42
42/210
1*35=35
=35/210
2*30=60
=60/210
The fraction with the largest numerator has the greatest value; In this case it 1/3 or 70/210.
Hope this helps.
-Benjamin
<u><em>Answer:</em></u>
Area of the polygon = 59 in²
<u><em>Explanation:</em></u>
From the given diagram, we can note that the given polygon is composed of an upper triangle, a side triangle and a rectangle
<u>Therefore:</u>
Area of polygon =
area of upper triangle + area of side triangle + area of rectangle
<u>1- getting the area of the upper triangle:</u>
<u>We have:</u>
base of triangle = 7 in
height of triangle = 6 in
<u>Therefore:</u>
Area of upper triangle = 
in²
<u>2- getting the area of the side triangle:</u>
<u>We have:</u>
base of triangle = 4 in
height of triangle = 5 in
<u>Therefore:</u>
Area of upper triangle = 
in²
<u>3- getting the area of the rectangle:</u>
<u>We have:</u>
length of rectangle = 7 in
width of rectangle = 4 in
<u>Therefore:</u>
Area of rectangle = length x width = 7 x 4 = 28 in²
<u>4- getting the total area of the polygon:</u>
Area of polygon =
area of upper triangle + area of side triangle + area of rectangle
<u>Therefore:</u>
Area of polygon = 21 + 10 + 28 = 59 in²
Hope this helps :)
Answer:
Are we supposed to fill in the blanks of the equation?
The first one is correct.
The 81° angle and angle 2 are corresponding angles so angle 2 must measure 81°. Angles 1 and 2 are supplementary angles so angle 1 must measure 99°.
Let's go through the rest of them.
The 81° angle and angle 2 are alternate interior angles so angle 2 must measure 81°. Angles 1 and 2 are supplementary angles so angle 1 must measure 99°.
2 isn't an interior angle.
The 81° angle and angle 2 are corresponding angles so angle 2 must measure 99°. Angles 1 and 2 are supplementary angles so angle 1 must measure 81°.
Corresponding angles are congruent, with the same measure.
The 81° angle and angle 2 are alternate interior angles so angle 2 must measure 99°. Angles 1 and 2 are supplementary angles so angle 1 must measure 81°.
81 and angle 2 aren't alternate interior and if they were they'd be congruent.
