Answer:
a = 7
b = 7
c = 14 [Correct option is B. 14]
Step-by-step explanation:
Since the shape is a parallelogram, to solve this problem, use some of the properties of a parallelogram:
(i) Opposite sides are parallel and congruent. Being congruent means the sides are identical. In other words, they have the same length.
From the diagram, this means that sides PQ and SR are identical. i.e
=> PQ = SR
=> 6a + 10 = 8a - 4 [collect like terms and solve]
=> 14 = 2a
=> a = 7
(ii) Opposite angles are congruent. Angles PQR and PSR are identical. i.e
<PQR = <PSR = (9b + 2)°
Also,
<SPQ = <SRQ = (18b - 11)°
(iii) Consecutive angles are supplementary. The sum of any two angles that are not opposite to each other is 180°. i.e.
<SPQ + <PQR = 180°
<PQR + <QRS = 180°
<QRS + <RSP = 180°
.
.
.
Also,
<PSR + <SPQ = 180°
(9b + 2)° + (18b - 11)° = 180° [expand bracket and solve for b]
9b + 2 + 18b - 11 = 180
27b - 9 = 180
27b = 189
b = 7
Now, since a = 7 and b = 7;
c = a + b = 7 + 7 = 14
Therefore;
a = 7
b = 7
c = 14
If the fraction strips are divided into 3, all the parts would be equal. If to compare 1/3 and 1/4 in strips, line them up and see which one is bigger.
Answer:
you could divide
Step-by-step explanation:
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The ordered pairs which is the solution of the system of Inequalities is;
x > 0 and y < 2
<h3>How to find the ordered pair of inequalities?</h3>
We are given the inequalities;
x + 2y > 4 ----(1)
3x - y < 2 -----(2)
Subtract 2y from both sides in eq 1 to get;
x > 4 - 2y ----(3)
Put 4 - 2y for x in eq 2 to get;
3(4 - 2y) - y < 2
12 - 4y - y < 2
12 - 5y < 2
Subtract 12 from both sides to get;
-5y < -10
Divide both sides by -5 to get;
y < 2
Put 2 for y in eq 3 to get;
x > 4 - 2(2)
x > 0
Read more about Inequality Ordered Pairs at; brainly.com/question/1528681
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