In the parallelogram ABCD, join BD.
Consider the triangle Δ ABD.
It is given that AB > AD.
Since, in a triangle, angle opposite to longer side is larger, we have,
∠ ADB > ∠ ABD. --- (1)
Also, AB || DC and BD is a transversal.
Therefore,
∠ ABD = ∠ BDC
Substitute in (1), we get,
∠ ADB > ∠ BDC.
Answer:
44 degrees
Step-by-step explanation:
Since they are supplementary, they add up to 180. This means that
3x - 6 + 54 = 180
Solving,
3x + 48 = 180
subtract 48 from both sides
3x = 132
divide both sides by 3
x = 44 degrees
1. SUBTRACTION
inverse means opposite. The opposite of addition is SUBTRACTION.
2. 4.25x + 7 = 24
a) 4
b) 2.125
c) 7
d) 20
All these values (as shown above) are what x is like when added up together. The first one (a) is correct. The others are wrong.
PLEASE DO RATE ME AS BRAINLIEST ^ω^
<em>Solid transformation</em> is a <u>method</u> that requires a change in the <u>length </u>of sides of a given shape or a change in its <em>orientation</em>. Thus the required <u>answers</u> are:
i. Yes, line <em>segment</em> AB is <em>the same</em> as line <u>segment </u>CD.
ii. This implies that <u>translation</u> does not affect the<u> length </u>of a given<u> line,</u> but there is a change in its <em>location</em>.
<em>Solid transformation</em> is a <u>method</u> that requires a change in the <u>length </u>of sides of a given shape or a change in its <em>orientation</em>. Some types of <em>transformation</em> are reflection, translation, dilation, and rotation.
- <u>Dilation</u> is a method that requires either <u>increasing</u> or <u>decreasing</u> the <em>size</em> of a given <u>shape</u>.
- <u>Translation</u> is a process that involves moving <em>every point </em>on the <u>shape</u> in the same <u>direction</u>, and the same <u>unit</u>.
- <u>Reflection</u> is a method that requires <em>flipping</em> a given <u>shape</u> over a given reference<u> point</u> or<u> line.</u>
- <em>Rotation</em> requires <u>turning</u> a given <em>shape</em> at an <u>angle</u> about a given reference <u>point</u>.
Thus in the given question, <u>translation</u> would not affect the <u>length</u> of <em>line</em> <em>segment</em> AB, thus <em>line segment</em> AB and CD are the same. Also, A <u>translated</u> <em>line segment</em> would have the same <u>length</u> as its object, but at another <u>location</u>.
For more clarifications on translation of a plane shape, visit: brainly.com/question/21185707
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