X=73 y=34
i think that is the answer
DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
<h3>
Congruent shape</h3>
Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.
Given that DE = AB and BC = EF.
In right triangle DEF, using Pythagoras:
DF² = DE² + EF²
Also, In right triangle ABC, using Pythagoras:
AC² = AB² + BC²
But DE = AB and EF = BC, hence:
AC² = DE² + EF²
AC² = DF²
Taking square root of both sides, hence:
AC = DF
Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
Find out more on Congruent shape at: brainly.com/question/11329400
Answer:
0.8973
Step-by-step explanation:
Relevant data provided in the question as per the question below:
Free throw shooting percentage = 0.906
Free throws = 6
At least = 5
Based on the above information, the probability is
Let us assume the X signifies the number of free throws
So, Then X ≈ Bin (n = 6, p = 0.906)
Now
The Required probability = P(X ≥ 5) = P(X = 5) + P(X = 6)
= 0.8973
Answer:
7. 7.8
Step-by-step explanation:
We can use Tan of this angle to find the missing side (in this case, the side adjacent to the angle measuring 57°)
Tan A = (opposite side)/(adjacent side)
Tan 57° = 12/x
solve for x
x(Tan 57°) = 12
x = 12/(Tan 57°)
x = 7.8 (rounded to the nearest tenth)
Answer:
0.
Step-by-step explanation:
The angle whose sine is 5/12 = 22.62 degrees and in Quadrant II it is
180 - 22.62 degrees
The angle whose tan is (5/12) = 22.62.
So we can write α as 180 - α and β as α.
sin (α+β) = sin ( 180 - α = α) = sin 180
= 0.
