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:
1145
Step-by-step explanation:
- <em>The upper bound is the smallest value that would round up to the next estimated value</em>.
Since the number was rounded to nearest ten, the upper bound is:
which rounds up to 1150 which is the next estimated value greater than 1140
The inequality that represents how much money Caroline needs to earn will be m>35.
In this case, Caroline needs an amount that's greater than $35, therefore, the amount must be greater than $35
From the options given, the correct inequality will be m>35. This means m is greater than $35.
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Answer:
C AND D Y=X-3 IS CONNECTING WITH C AND D AND Y=-2X+1 IS CONNECTING WITH A AND C
Step-by-step explanation:
Answer:
y = -3x + 6
Step-by-step explanation:
Slope-intercept form:
y = mx + b
m (slope) = 
or -3
b (y-intercept, or where the line crosses the y-axis) = 6
y = -3x + 6
