Answer:
Option C. will be correct.
Step-by-step explanation:
The equations of straight lines are given as
3y - 5x = 15 ........... (1)
And, 6y - 10x = 30 ......... (2)
If we divide the equation (2), by 2 then we will get 3y - 5x = 15 which is nothing but the equation (1).
Therefore, those two equations (1) and (2) represents the same straight line.
Now, from equation (1), we can write 
.
This is an equation of a straight line in slope-intercept form and here slope is positive.
Therefore, Option C. will be correct. (Answer)
Answer:
Therefore
1. Vertical Opposite Angle Theorem is used to prove that the triangles are similar.
2. Angle-Angle similarity statement is used.
3. x = 10 unit and y = 7.5 unit.
Step-by-step explanation:
Given:
∠A ≅ ∠E
AB = 8 , DE = 12 , BC = 5 , CE = 15
To Prove:
Δ ABC ~ ΔEDC
To Find :
x = ?
y = ?
Proof:
Vertical Angle Theorem:
The angles opposite each other when two lines cross. They are always equal.
Here vertical opposite angles are,
∴ ∠ACB ≅ ∠ECD
Angle-Angle Similarity :
If in Two triangle Two corresponding angles are congruent then the Triangles are Similar by Angle-Angle Similarity statement.
Now,
In Δ ABC and Δ EDC
∠A ≅ ∠E …………..{ Given }
∠ACB ≅ ∠ECD ……….....{Vertical Opposite Angle Theorem}
Δ ABC ~ Δ EDC ….{Angle-Angle Similarity test}
If two triangles are similar then their sides are in proportion.
On Substituting the given values we get
Therefore,
Therefore
1. Vertical Opposite Angle Theorem is used to prove that the triangles are similar.
2. Angle-Angle similarity statement is used.
3. x = 10 unit and y = 7.5 unit.
The only way to make a decimal out of either of those numbers is to write a decimal point with some zeros after it.
500,000 = 500,000.000
60,000,000 = 60,000,000.00000
etc.
A because, all the numbers multiplied by those factors equals their spot in the number
The first one because there is only one y value for every x value. you can also use the vertical line test in which you draw vertical lines and make sure the function only passes through it once at each point
