Answer:
- True, True, False, False, True
Step-by-step explanation:
Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.
Scale factor is 1/2 according to the coordinates.
<h3>The answer options</h3>
<u>The length of side AD is 8 units.</u>
<u>The length of side A'D' is 4 units.</u>
<u>The image is larger than the pre-image.</u>
- False. It is 2 times smaller.
<u>Sides CD and C'D' both have the same slope, 2.</u>
Slopes of CD and C'D' are same: m = (0 - 4)/(4 - 2) = -4/2 = -2
<u>The scale factor is One-half.</u>
Since AS is a height issued from A and the perpendicular bisector of [MP] at the same time (given), so the triangle AMP is an isosceles triangle of vertex A. Then, AM=AP
MS=SP ( AS bisects MP as stated in the given )
AS is a common side between triangles ASM and ASP
Therefore, triangles ASM and ASP are congruent (SSS)
Step One
Find z
All triangles have 180 degrees. No exceptions.
z + 47 + 90 = 180 combine like terms on the left.
z + 137 = 180 subtract 137 from both sides
z = 180 - 137
z = 43 degrees.
Step Two
Use the sine function to find y
Sin(43) = opposite side / hypotenuse
opposite side = 35
sin(43) = 35 / hypotenuse
hypotenuse = 35 / sin(43)
y = 35/0.6820
y = 51.32
Solve using cos(x)
Note this problem could have been done in a shorter way.
Cos(47) = adjacent / hypotenuse.
hypotenuse = adjacent / cos(47)
y = 35 / cos(47)
y = 35 / 0.6820
y = 51.32 Both answers agree. It is a good thing to know how to do this question both ways.
The value of x is 1.25 or 1 1/4
Explanation
==============================
275x=500-125x
Move variable to the left side and change its sign
275x+125x=500
Collect the like terms
275x+125x=500 =====> 400x=500
Divide both sides of the equation by 400
400x/400=500 =======> x=5/4 which is the same as 1 1/4 or 1.25
Hope this helps : )
Answer: 7%
Step-by-step explanation:
