Answer:
B. ASA (Angle-Side-Angle).
Step-by-step explanation:
We have been given a diagram and we are asked to find the congruence theorem, which will prove that △GHL ≅ △KHJ.
Upon looking at our diagram we can see that side length GH of △GHL is equal to side length KH of △KHJ.
We are also given that .
We can see that is vertical opposite angle of
as they are formed by the intersection of line segments GK and JL. Therefore,
, by vertical angles theorem.
We can see that both triangles have two congruent angles and one congruent included side, therefore, △GHL ≅ △KHJ by ASA congruence and option B is the correct choice.
Reason:
When rotating a point 180 degrees around the origin, you use the rule
We flip the sign of each coordinate from positive to negative or vice versa.
The point X is at the location (-4, 1). Rotating this 180 degrees will get us to X'(4, -1)
The x-coordinate of the point which divide the line segment is 3.
Given the coordinates in the figure are J(1,-10) and K(9,2) and the 1:3 is the ratio in which the line segment is divided.
When the ratio of the length of a point from both line segments is m:n, the Sectional Formula can be used to get the coordinate of a point that is outside the line.
To find the x-coordinate we will use the formula x=(m/(m+n))(x₂-x₁)+x₁.
Here, m:n=1:3 and x₁=1 from the point J(1,-10) and x₂=9 from the point K(9,2).
Now, we will substitute these values in the formula, we get
x=(1/(1+3))(9-1)+1
x=(1/4)(8)+(1)
x=8/4+1
x=3
Hence, the x-coordinate of the point that divides the directed line segment from k to j into a ratio of 1:3 is 3 units.
Learn about line segments from here brainly.com/question/10240790
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Answer:
0.037
Step-by-step explanation:
If the hitter makes an out 72% of the time, then the probabilty that he makes hit in 1 at-bat is and the probabilty that he doesn't make hit in 1 at-bat is
The probability that the hitter makes 10 outs in 10 consecutive at-bats, assuming at-bats are independent events is