Answer:
Given:
,
,
,
formed by two intersecting segments.
In the given figure;
Linear pair states that a pair adjacent angle formed when two lines intersect.
Then by definition of linear pairs,
and
forms a linear pair
Also,
and
forms a linear pair.
Linear pair postulates states that the two angle that forms a linear pair are supplementary(i,e add up to 180 degree).
Then by linear pair postulates;

and

Substitution property of equality states that if x =y then, x can be substituted in for y or vice -versa.
then by substitution property of equality:

Addition property of equality states that:
if x =y, then x + z = y+ z
By addition property of equality:
hence proved!
Answer:
1/2 cup
Step-by-step explanation:
11/12-5/12=6/12=1/2
Answer:
a. 5 + x = -5 (Subtraction) 0.
b. -17 + x = 0 (Addition) 17.
c. 30 + x = 0 (Subtraction) -30.
d. x + (-27) = 0 (Addition) 27.
e. x + (-30) = 0 (Addition) 30.
Step-by-step explanation:
In this exercise, students are required to match each equation with its solution. (The corresponding operations must be presented at the end of this point
a. 5 + x = -5 (Subtraction) 0.
x = -5 - 5
x = 0
b. -17 + x = 0 (Addition) 17.
x = 0 + 17
x = 17
c. 30 + x = 0 (Subtraction) -30.
x = 0 - 30
x = -30
d. x + (-27) = 0 (Addition) 27.
x - 27 = 0
x = 0 + 27
x = 27
e. x + (-30) = 0 (Addition) 30.
x - 30 = 0
x = 0 + 30
x = 30
The total length of red and blue ribbons is 10.2 m.
Given that, the length of the red ribbon =2.4 m and the length of the blue ribbon =7.8 m.
<h3>How to add two decimals?</h3>
Adding decimals is similar to the usual addition of whole numbers. We know that a decimal number is a number with a whole number part and a fractional part which is separated by a decimal point.
Now, the length of the red ribbon + the length of the blue ribbon=2.4+7.8
=10.2 m
Therefore, the total length of red and blue ribbons is 10.2 m.
To learn more about the addition of decimals visit:
brainly.com/question/17612968.
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