Answer: hypotenuse =
Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side () of the right triangle, .i.e.:
In this question:
=
2bc
Substituing and taking square root to find hypotenuse:
Calculating:
= , then:
Hypotenuse for the right-angled triangle is units
Iwould think its Corresponding angles are congruent
Triangle Sum Theorem
<span>Measure of angle AED is 28°
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7x+8x+44.4=180
15x=44.4=180
15x=135.6
x=9.04°
so 8x=72.32° and the 7x is 63.28°
2x + 3y + 2(x - y) - 3x
First you apply the distributive property:
2x +3y + 2(x) - 2(y) - 3x
2x + 3y +2x - 2y - 3x
The you combine like terms:
2x + 2x - 3x +3y - 2y
4x - 3x + y
x (x could also be 1x) + y (y could also be 1y)
The answer is x + y or 1x + 1y
Answer:
The value of x is 7 and value of y is 45
Step-by-step explanation:
In ΔXYZ
∠X = 50°, ∠Y=30°
To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)
So,∠X + ∠Y + ∠Z = 180°
So,50°+30°+ ∠Z = 180°
∠Z=180°-80°
∠Z=100°
Now we are given that ΔXYZ ≅ΔFED
So, the corresponding sides are equal and the corresponding angles are equal.
So, ∠Z= ∠D
So, 100=2y+10
100-10=2y
90=2y
45=y
Now XY = EF
So, 9 = 3x-12
21=3x
7=x
Hence The value of x is 7 and value of y is 45