Step-by-step explanation:
2112 + 2212 + 2312 / 4 leaves no remainder, as already the individual numbers could be divided by 4 without remainder.
2113 = 2112 + 1
2213 = 2212 + 1
so, we get a remainder of +1 and +1 for these 2 numbers, so we get in total a remainder of +2.
Answer:
The Amin's score in math was 46.
Step-by-step explanation:
The question is:
The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?
Solution:
Let us denote that:
<em>x</em> = Amin's score in math
<em>y</em> = Azman's score in math
<em>z</em> = Aziz's score in math.
The average of <em>x</em>, <em>y</em> and <em>z</em> is, 73.
That is:
Now it is provided that:
Use the equations (i) and (ii) to determine the value of <em>x</em> as follows:
Thus, the Amin's score in math was 46.
Answer:
<u>e</u>
Step-by-step explanation:
According to Angle Sum Property :
<u>∠A + ∠B + ∠C = 180°</u>
<u />
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Given :
⇒ ∠A = 50°
⇒ ∠B = 32°
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Solving :
⇒ 50° + 32° + ∠C = 180°
⇒ ∠C + 82° = 180°
⇒ ∠C = <u>98°</u>
Answer:
x = 10°
Step-by-step explanation:
a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"
Therefore, in cyclic quadrilateral ABDE,
m∠ABD + m∠AED = 180°
110° + m∠AED = 180°
m∠AED = 180° - 110°
= 70°
b). AD = ED [Given]
m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]
m∠EAD = m∠AED = 70°
By triangle sum theorem in ΔABD,
m∠BAD + m∠ABD + m∠ADB = 180°
m∠BAD + 110° + 40° = 180°
m∠BAD = 180 - 150
= 30°
m∠AEB = m∠AED + m∠DAB [By angles addition postulate]
m∠AEB = 70° + 30°
= 100°
By triangle sum theorem in the large triangle,
x° + m∠AEB + m∠EAB = 180°
x° + 100° + 70° = 180°
x = 180 - 170
x = 10°
