Answer:
Step-by-step explanation:
If two line 'm' and 'n' are parallel and a transversal line 't' i intersecting these lines at two distinct points,
Sum of interior consecutive angles should be 180°.
(Property of the angles formed between parallel lines and a transversal line)
Therefore, 114° + 64° = 180°
178° = 180°
Which is not true.
Therefore, lines 'm' and 'n' are not the parallel lines.
A trapezoid is a quadrilateral that has two parallel sides with a height.
<h3>The proof for trapezoid</h3>
From the diagram, AK = 1/2(AD-BC)
The combination of the bases of the equilateral triangle and the parallelogram is = the base of the trapezoid.
Therefore, BC = AD - 2AK
Make AK the subject of formula,
AK= 1/2 (AD -BC)
- From the second equation given,
KD = 1/2(AD - BC). This is wrong because of the following,
BC is parallel to KD.
Therefore length of KD = BC - AK and not KD = 1/2(AD - BC).
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Answer:
3.
Step-by-step explanation:
This is an arithmetic sequence with common difference d = 0.5 and first term a1 = -015.
10th term = a1 + (10 - 1)d
= -1.5 + 9*0.5
= 4.5 - 1.5
= 3.
Answer:
P=5
Step-by-step explanation:
-6(2p + 1) = -7p - 31
Expand -6(2p+1)
Apply distributive law;
a=-6, b=2p, c=1
=-6*2p+(-6)*1
=-6*2p-6*1
Simplify; -6*2p-6*1
=-12p-6
-12p-6=-7p-31
Add 6 to both sides;
-12p-6+6=-7p-31+6
simplify;
-12p=-7p-25
Add 7p to both sides;
-12p+7p=-7p-25+7p
Simplify;
-5p=-25
Divide both sides by -5
-5p/-5=-25/-5
Simplify:
p=5
Answered by the <u><em>One</em></u> and <u><em>Only #DrippQueenMo</em></u>
Answer:
5.86
Step-by-step explanation: