Answer:
The correct option is;
ΔCED ~ ΔCAB
Step-by-step explanation:
Given that the translation maps angle ∠D to angle ∠B, we have;
Angle ∠D is congruent to ∠B (Given)
Segment ED is parallel to segment AB (lines having similar angles to a common transversal)
Therefore, ∠A is congruent to ∠E, (Angle on the same side of a transversal to two parallel lines)
∠C is congruent to ∠C reflexive property
Therefore, we have;
∠C ≅ ∠C
∠E ≅ ∠A
∠D ≅ ∠B
Which gives ΔCED is similar to ΔCAB (not ΔCBA)
Answer:
|x + 5|= 7
-7<(x+5)<7
-7<x+5<7
-7-5<x+5-5<7-5
-12 < x <2
Step-by-step explanation:
The formula of a trapezoid is the sum of the both bases multiplied by the height then divided by 2.
The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option <em>a</em>
a) The equation with fractions two ninths times three fourths is equal to six thirty sixths

<h3>What is an array (area) multiplication model?</h3>
An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.
Please find attached the area model to multiply the fractions
The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;

The equation that the model represents is therefore;
- The equation with fractions two ninths times three fourths is equal to six thirty sixths
Learn more about multiplication models here:
brainly.com/question/24586779
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First find how many units of solution there is:
500* 2% = 500(.02) = 10 units
You need 10 units of solution in 'x' units of a 10% solution.
x*10% = 0.1x = 10 units -----> x = 10/0.1 = 100
100 units are needed