Answer:
1. Given
2.corresponding angles in similar triangles are congruent
3.Ratio of corresponding sides of similar triangles is the same
4. DC/AE =1/3
5. 1/3 ratio of corresponding sides of similar triangles is the same
6. Triangle ABE is similar to triangle DBC
Step-by-step explanation:
Similarity in geometry requires states that when the measure of corresponding sides of two triangles, the two triangles are similar.
In this case, according to the SSS similarity, if the corresponding sides of two triangles are proportional, the triangles are similar. For example, BC/EB=BD/BA=1/3
Answer:
1. 20%
2. 40%
Step-by-step explanation:
To find the percent of the total payment that the down payment is we have to you use the following equation:

Lets start plugging things into the equation.
The part is equal to the down payment and the whole is the total cost of the studio apartment.
Let's do this for the first question

So we see that 24,000 is 20% of the total purchase price!
Let's do this for the next question:

48,000 is 40% of the 120,000 total cost!
<em>Hope this helps!</em>
<em>- Kay</em>
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For the given triangle, the tan of angle A equals C.
.
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 15 units, the adjacent side has a length of 36 units while the hypotenuse of the triangle measures 39 units. To calculate the tan of angle A we divide the opposite side's length by the adjacent side's length.
cos A =
.
Step 2; The opposite side's length = 15 units,
The adjacent side's length = 36 units.
cos A =
, dividing the numerator and the denominator by 3, we get
cos A =
, which is option C.
Answer:
<h2>x = 8</h2>
Step-by-step explanation:
If EC is a bisector of AC and CD, then AC is equal to CD.
Given AC = 3x+6 and CD = 2x + 14, since AC = CD then;
3x+6 = 2x+14
subtract 6 from both sides
3x+6-6 = 2x+14-6
3x = 2x+8
subtract 2x from both sides
3x-2x = 2x+8-2x
x = 8
<em>Hence the value of x is 8</em>
3x-5y=10
-5y=-3x+10
y=3/5x-2