You're answer will be 20x+y-3 because you can distribute 4x to 5x and when you do that, you multiply. But you can't distribute 4x to y or -3, so you leave them alone.
The quadrilateral BADC. AB = AD and BC = DC.
1.The AC and BD lines are perpendicular lines.
2.∠ACB = ∠ACD
Given that,
AB = AD and BC = DC in the quadrilateral BADC. This quadrilateral's symmetry line is the line AC.
1. We have to find how the diagonals AC and BD are perpendicular.
In the figure we can see the BADC quadrilateral and the lines AC and BD.
To prove they are perpendicular we have to prove that they have 90° all angles.
∠AOD is 90°.
∠AOB is 90°.
∠BOC is 90°.
∠DOC is 90°.
Therefore, we can say that AC and BD are perpendicular lines.
2.We have to find the angles ABC and ADC have same angles.
The BADC quadrilateral
AB= AD
BC= DC
This quadrilateral's symmetry line is AC.
Think about the triangles BAC and DAC.
These triangles contain
AB = AD
BC = DC
AC = AC - reflexive property
So, the SSS postulate of ΔBAC ≅ ΔDAC
Congruent triangles have comparable sides and angles that are also congruent, so ∠ACB = ∠ACD
Another concept: The line that separates the figure into two identical figures is the line of symmetry. As a result, ΔBAC and ΔDAC share the same properties (are congruent) and have the same corresponding sides and angles.
To learn more about quadrilateral visit: brainly.com/question/13805601
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7×3,289 =23,032 so 23,023 can be estimate to 23,000
Answer:
-13x+10
Step-by-step explanation:
(4x+5)(x-2)
Multiply each term in the first parenthesis by each term in the second (foil)
Step 1: Expand it by writing out each multiplication. I added a picture showing which order to do it. (go in order of green, red, blue, yellow.) (you can remember this as first, outside, inside, last.)
When you expand it'll look like: 4x⋅x+4x⋅-2-5x-5⋅-2
Step 2: Calculate product
4x⋅x+4x⋅-2-5x-5⋅-2 (for the 4x⋅x it would be written like )
+4x⋅-2-5x-5⋅-2
+4x⋅-2-5x-5⋅-2 (4x⋅-2 becomes -8x) (multiply 4x times -2)
-8x-5x-5⋅-2
-8x-5x-5⋅-2 (-5⋅-2 becomes +10) (multiply -5 times -2)
-8x-5x+10
Step 3: collect like terms
-8x-5x+10 (-8x-5x becomes -13x) (-8x times -5x)
-13x+10 is the most simplified so it should be your final answer