Answer:
C.
Step-by-step explanation:
Similar triangles have congruent corresponding angles, and proportional corresponding sides.
The only angle given is angle A, which will correspond to angle D if the similarity statement is true. That is, angle D must be 35°. (Eliminates choice D)
__
The ratios of the given sides are AB:AC = 9:12 = 3:4. The corresponding sides would be DE:DF. (Eliminates choice A)
The remaining choices have side ratios of ...
B. DE : DF = 16 : 21 ≠ 3 : 4
C. DE : DF = 12 : 16 = 3 : 4
The set of measurements that would make ΔABC ~ ΔDEF is ...
DE = 12, DF = 16, and ∠D = 35°
The length of rectangle is 31 yards and width is 24 yards.
Step-by-step explanation:
Given,
Width of rectangle = w
Length of rectangle = w+7
Area of rectangle = 744 square yards
Area = Length * width

Factorizing the equation

Either,
w+31=0, =>w= -31
Or,
w-24=0 =>w=24
As width cannot be negative, therefore,
Width = 24 yards
Length = w+7 = 24+7 = 31 yards
The length of rectangle is 31 yards and width is 24 yards.
Keywords: area, rectangle
Learn more about rectangles at:
#LearnwithBrainly
Answer: Y and Y'' are congruent after the translation, but not after the dilation.
Step-by-step explanation:
We know that we generally prefer rigid transformations if want to create congruent images.
There are three basic kinds of rigid transformations:
1) rotation 2) reflection 3) translation
So, they all create congruent images.
But a dilation does not create congruent images because it creates an image of similar same shape as the original but not the same size.
Given : Triangle XYZ is translated and then dilated by a scale factor of 4 centered at the origin.
Then, the correct option is "Y and Y'' are congruent after the translation, but not after the dilation."
Answer:
Step-by-step explanation:
9x - 2c = k
9x = k + 2c
x = (k + 2c)/9
<em><u>solution</u></em>
<em><u>original </u></em><em><u>price </u></em><em><u>=</u></em><em><u> </u></em><em><u>final </u></em><em><u>price</u></em><em><u>+</u></em><em><u> </u></em><em><u>decrease</u></em><em><u> </u></em><em><u>percent</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>final </u></em><em><u>price</u></em>
original price = $90 +80% ×$90
original price = $90+80/100 ×$90
original price= $90+$72
original price= $162