9514 1404 393
Answer:
x = 2
Step-by-step explanation:
Using the scale factor, we have ...
x/8 = 0.25/1
x = 8(0.25) . . . . multiply by 8
x = 2
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<em>Additional comment</em>
I like to write proportions with the variable in the numerator. That way they are easily solved by a single multiplication. The trick is to get corresponding parts in the same positions. Here, the fractions are written ...
B/A = smaller part / larger part = x/8 = 0.25/1
Answer:
The correct option is A.
A) m, because ΔABC ~ ΔEDC
Step-by-step explanation:
Consider the both triangles.
<B = 60°
<D = 60°
<B and <D are congruent
<ACB = 90°
<DCE = 90°
<ACB and < DCE are also congruent.
As sum of the angles of triangle is 180°
<A = 180° - <ACB - <B
<A = 180° - 90° - 60
<A = 30° = m
<E = 180° - <DCE - <D
<E = 180° - 90° - 60°
<E = 30°
As m = 30°
<E = <CED = m
As segment AD cuts segment BE, which results in formation of two triangle, and as all angles of both triangles are equal, both triangles are similar.
Answer:
4x - 3y = 2
Step-by-step explanation:
First, let's review what "standard form" signifies: Ax + By = C.
Starting with y = 4/3 * x - 2/3, multiply all three terms by 3 to eliminate the fractions:
3y = 4x - 2
Next, subtract 3y from both sides:
0 = 4x - 3y - 2.
It would be nice (tho' not essential) to have the coefficient of x positive. That is why I've left 4x on the right side and subtracted 3y from both sides.
finally, add 2 to both sides, obtaining 4x - 3y = 2. This is the equation in standard form.
Answer:
do you have a picture of the triangles?
Step-by-step explanation:
75% of the teachers were first-year teachers
Step-by-step explanation:
the formula for percentage will be used for the problem
The percentage is given by:
Here
Total teachers = 57+19 = 76
First-year teachers = 57
So,
Hence, 75% of the teachers were first-year teachers
Keywords: Percentage, Percent
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