I think -35x not sure thank u bro
According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
By using equation (1) next step is to plug in y+1 for x in equation (2). So,
2 ( y + 1) + 3 = 3y + 3
2y + 2 + 3 = 3y + 3 By using distribution property.
2y + 5 = 3y + 3
2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.
2y = 3y - 2
2y - 3y = -2 Subtract 3y from each sides.
-y = -2
So, y=2
Next step is to plug in y=2 in equation (1) to get the value of x. Hence,
x= 2+1
=3
So, x=3 and y=2 make these triangles congruent.
So, the correct choice is 3. x = 3, y = 2.
Suppose that Eldi has x years old now :
x + 4 = 3 × ( x - 10 )
x + 4 = 3x - 30
Add both sides 30
x + 4 + 30 = 3x - 30 + 30
x + 34 = 3x
Subtract both sides x
x - x + 34 = 3x - x
34 = 2x
2x = 34
Divide both sides by 2
2x ÷ 2 =34 ÷ 2
x = 17
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Thus Eldi is 17 .
Measure of Angle 2 = 100 degrees
measure of Angle 6 = 100 degrees
Since angle 2 and angle 6 are both 100 degrees, this makes them congruent angles. They are also corresponding angles as well.
The fact we have corresponding angles that are congruent leads to AB being parallel to CD. This is using the Converse of Corresponding Angles Theorem.
Answer:
1. 189+224+87 2. 500- 189-224
B. q=87
Step-by-step explanation:
