Answer:
3 cm by 10 cm
Step-by-step explanation:
Assuming the new dimensions are integers, we can look at the factors of 98 to see what they might be.
98 = 1·98 = 2·49 = 7·14
The latter two factors differ by 7, so are the dimensions after 4 is added. The original dimensions are ...
7 - 4 = 3 . . . . cm
14 -4 = 10 . . . . cm
The dimensions of the original rectangle are 3 cm by 10 cm.
Answer:
<1 = 114° and <2 = 66°
Step-by-step explanation:
The two angles measure 66 degrees and 114 degrees because the sum of supplementary angles is 180 degrees.
Explanation:
Supplementary angles are two angles with a sum of 180 degrees.
Let the smaller angle = x
If the two angles differ by 48 degrees, the bigger angle is 48 degrees more and equals
x+48
.
The sum of the two angles is 180, so...
x+x+48=180
Add the variableterms
2x+48=180
Subtract 48 from both sides
2x=132
Divide both sides by 2
2x/2=132/2
x=66
This is the measure of the smaller angle.
The bigger angle = x+48=114
We see two parallel lines crossed by a transversal.
The two labelled angles are alternate interior angles, hence they are equal.
The equality allows us to equate the two expressions and hence solve for x.
8x-3=5x+42
transpose terms
8x-5x=42+3
solve for x
3x=45
so x=45/3=15.
This means 5x+42=5*15+42=75+42=117 degrees.
Answer:
7.483
As a fraction it would be 7 483/1000
Hope this helps!
Answer:
The first one, 10 15 20
45 -5 -35
55 25 -15
Step-by-step explanation:
