Complete question :
A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
What are the measures of the angles in triangle ABC?
a) m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°
b) m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°
c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
d) m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°
Answer:
c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
Step-by-step explanation:
Given:
Length AC = 7 inches
Length BC = 24 inches
Length AB = 25 inches
Since it is a right angle triangle,
m∠C = 90°
To find the measures of the angle in ∠A and ∠B, we have :
For ∠A:
∠A = 73.7°
For ∠B:
∠B = 16.26 ≈ 16.3°
Therefore,
m∠A = 73.7°
m∠B = 16.3°
m∠C = 90°
To prove the QRST is a parallelogram.
Step 1: Given 
and 
Step 2: 
are alternate interior angles.
Definition of alternate interior angles
Step 3: Alternate interior angle theorem:
If two parallel lines cut by a transversal then the alternate interior angles are congruence.
QR and TS are parallel lines cut by QS.
Therefore, 
Step 4: Reflexive property of congruence:
Any geometric figure is congruence to itself.
Therefore, 
Step 5: By the above steps
(Angle), (Angle) and (Side)
Hence 
(by ASA congruence theorem)
Step 6: Corresponding parts of congruence triangles are congruent.
Step 7: Property of parallelogram:
If one pair of opposite sides are both parallel and congruent, then the quadrilateral is a parallelogram.
Hence Quadrilateral QRST is a parallelogram.
You can make the equation 12x=156-x
Then from there it become 13x=156
So x=12
Answer:
1.25 litros.
Step-by-step explanation:
Dado que Demetrio compró dos litros de leche, y luego utilizó 3 cuartos de litro en un postre, para determinar cuánta leche le quedó se debe realizar el siguiente cálculo matemático:
2 - 3/4 = X
2 - 0.75 = X
1.25 = X
Así, tras utilizar 3 cuartos de litro de leche en un postre, a Demetrio le quedaron 1.25 litros de leche.
