Given:
Consider the completer question is "If ∆BTS≅∆GHD, BS=25, TS=14, BT=31, GD=4x-11, m∠S=56, m∠B=21 and m∠H=(7y+5), find the values of x and y.
To find:
The values of x and y.
Solution:
We have,
(Given)
(CPCTC)



Divide both sides by 4.

In ∆BTS,
(Angle sum property)




Now,
(CPCTC)



Divide both sides by 7.

Therefore, the value of x is 9 and value of y is 14.
Answer:
Replace x with −x.
f(x) = 3(2)−x is not correct because the y-intercept is (0, 3).
the answer is B
Step-by-step explanation:
Answer:
Your answer for the above equation is D
Answer:
x = 3
y = 8
Step-by-step explanation:
In the given triangle FGH,
m∠F + m∠G + m∠H = 180° [Triangle sum theorem]
60° + 90° + m∠H = 180°
m∠H = 30°
If the given triangles FGH and TUV are congruent, their corresponding sides will be equal in measure.
m∠F = m∠T
7y + 4 = 60°
7y = 56
y = 8
GH ≅ UV
8x - 12 = 12
8x = 24
x = 3
Answer:
The midpoint is (2.5,4.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(4+1)/2 = 5/2 = 2.5
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(6+3)/2 = 9/2 = 4.5
The midpoint is (2.5,4.5)