Answer:
The answer to your question is p = 27.7 q = 29
Step-by-step explanation:
Process
1.- Calculate the value of all the angles of the triangle
The angle of 50° and the one to the right are supplementary
x + 50 = 180
x = 130°
- The sum of the internal angles in a triangle equals 180°
30° + y + 130° = 180
y = 180 - 130 - 30
y = 180 - 160
y = 20°
- The angle of the right triangle
50 + 90 + z = 180
z = 180 - 90 - 50
z = 40°
If sum up the superior angles 20 + 40 = 60°, then the biggest triangle is a 30-60-90
2.- Calculate q using the trigonometric function tangent
tan Ф = q / 55
solve for q
q = 55 tan 30
q = 28.9 ≈ 29
3.- Calculate the hypotenuse of the biggest triangle
h² = 55² + 29²
h² = 3866
h = 62,12
4.- Use law of sines to find p
solve for p
p = 
p = 27.74
Answer:
its 5 + 4 = 9, then add x + y to get 20
Step-by-step explanation:
ez points IMAO
Answer:
yes, if AB ≅ DE
Step-by-step explanation:
Triangles are said to be congruent if they have the same sides and the same angles.
The following measures are used to determine if triangles are congruent:
1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.
2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.
3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.
4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.
From the triangles DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.
To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent
It’s 1.875
Hope this helps!
