Answer:
(A)
Step-by-step explanation:
From the given figure, we have to prove whether the two given triangles are congruent or similar.
Thus, From the figure, ∠3=∠4 (Vertically opposite angles)
Since, KL and NO are parallel lines and KO and LN are transversals, then
measure angle 1= measure angle 5 that is ∠1=∠5(Alternate angles).
Thus, by AA similarity rule, ΔKLM is similar to ΔONM.
Thus, Option A that is Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5 is correct.
There are a couple of ways to look at this.
1) Set up a ratio: 2 cups sugar to 5 cups flour = 5 cups sugar to x cups flour
2/5 = 5/x
cross multiply
2x = 25
x = 12 1/2 cups flour
2) Look at the factor by which the cups of sugar was increased and increase
the cups of flour by the same factor.
2x = 5
x = 2.5
The sugar was increased by a factor of 2.5 so increase flour by same factor.
5(2.5) = 12 1/2 cups flour
The boat travels 20m in 18 sec. it has an average velocity of 20/18 m/s = +1.11 m/s
5p+20=56 you would then subtract the 20 from 56 and then divide the 36 by 5
Answer:
The answer is below
Step-by-step explanation:
Solve this system of equations by graphing. First graph the equations, and then type the solution. y=2x+2 y=x–2
Solution:
The equation of a straight line is in the form y = mx + b, where m is the slope of the graph and b is the y intercept (value of y when x = 0). To graph the line, online geogebra graphing calculator was used for plotting the two graphs by writing the equation of the graphs.
After plotting the two graphs, the intersection of the two lines should be traced to get the x coordinate and y coordinate of the point. This point is the solution of the two graph equations, hence:
The solution = (-4, -6)
