Answer:
They are supplementary
Step-by-step explanation:
Since AB and DC are parallel, then the alternate interior angles are congruent because there is transversal cutting the parallel lines (BC). So m<B is supplementary to m<C
15u²v³, 20u⁵v², 45u³v⁵
Our greatest common factor would be 5u²v²
Why?
Because 5u²v² goes into 15u²v³ , 20u⁵v² , 45u³v⁵ the maximum amount that it can.
15u²v³ ÷ 5u²v² = 3v
20u⁵v² ÷ 5u²v² = 4v³
45u³v⁵ ÷ 5u²v² = 9uv³
~Hope I helped!~
Answer: In a regular decagon, there are 10 lines of symmetry.
Step-by-step explanation:
Line of symmetry divides a figure into two equal halves so that if you flip the half image over the line of symmetry , the figure will look unchanged.
A regular decagon has 10 vertices and 10 edges.
To draw line of symmetry :
1.Draw lines to meet the exactly opposite point [shown by red color in the picture attached with the answer].
∴ 10 vertices will form 5 lines of symmetry.
2.Draw lines from the mid points of all the edges to the midpoint of the exactly opposite edge [shown by blue color in the picture attached with the answer].
∴ 10 edges will form 5 lines of symmetry.
⇒Total lines of symmetry in a decagon =5+5= 10
Answer:
A. A translation 4 units to the left and 3 units down.
Step-by-step explanation:
By applying the <em>quadratic</em> formula we conclude that the roots of the <em>quadratic</em> equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.
<h3>How to find the roots of a quadratic equation </h3>
All <em>quadratic</em> equations of the form a · x² + b · x + c = 0 have two roots that can be found by using the <em>quadratic</em> formula:
(1)
If we know that a = 2, b = - 4 and c = - 3, then the roots of the <em>quadratic</em> equations are:
By applying the <em>quadratic</em> formula we conclude that the roots of the <em>quadratic</em> equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.
To learn more on quadratic equations: brainly.com/question/2263981
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