Answer:
This is because modulus number will be always positive
Hope this is correct and helpful
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5 dollars per hour
because 15 divided by 3 is 5.
Answer:
a) 3/5 < 4/5
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) <em>or</em>
Step-by-step explanation:
a) 3/5 < 4/5
Flip the sign and the placement of the fraction so 3/5 is less then 4/5.
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) We need to change the denominators to a common denominator to compare the size of the two fractions:
× =
× =
The common denominators of the two fractions is 30. Comparing the two fractions:
<em>or</em>
so we get: <em>or</em>
Answer:
45*
Step-by-step explanation:
180-115=65
65=angle 2
180-110=70
70=angle 1
70+65=135
180-135=45
45=angle 7
angle 7 and 6 are vertical angles so angle 6=45
angle 6 and angle 5 are an example of alternate interior angles soo
angle 5=45*
Hope I helped!
<u>EXPLANATION</u><u>:</u>
In ∆ ABC , ∠ABC = 40°
∠ACD is an exterior angle formed by extending BC to D
We know that
The exterior angle of a triangle formed by extending one side is equal to the sum of the opposite interior angles.
∠ACD = ∠CAB + ∠ABC
⇛50° = x° + 40°
⇛x° = 50°-40°
<h3>⇛x° = 10°</h3>
and
In ∆ ACD , AC = CD
⇛ ∠CDA = ∠CAD
Since the angles opposite to equal sides are equal.
Let ∠CDA = ∠CAD = A°
We know that
The sum of all angles in a triangle is 180°
In ∆ ACD,
∠CDA +∠CAD + ∠ACD = 180°
A°+A°+50° = 180°
⇛2A°+50° = 180°
⇛2A° = 180°-50°
⇛2A° = 130°
⇛A° = 130°/2
⇛A° = 65°
now,
∠CDA = ∠CAD = 65°
∠BAC + ∠CAD+y = 180°
Since angles in the same line
10°+65°+y = 180°
⇛75°+y =180°
⇛y = 180°-75°
<h3>⇛y = 105°</h3>
<u>Answer</u><u>:</u> Hence, the value of “x” & “y” will be 10° and 105° respectively.