Answer: y=4x-1
Step-by-step explanation: the line goes through (-2,7) and is perpendicular to the line x-4y =24
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.
Answer:
x has a greater change
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
D is the only answer given as a ratio, the rest are not.
Answer:
56 meters.
Step-by-step explanation:
Please find the attachment.
Let the leaning tower's be h meters tall, when it was originally built.
We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.
Since we know that cosine relates the adjacent and hypotenuse of a right triangle.
Upon substituting our given values we will get,
Therefore, the leaning tower was approximately 56 meters, when it was originally built.
