Answer:
Option A
Triangles ABC and TUV
Step-by-step explanation:
Given three triangles ABC , FGH and TUV
For triangles ABC and FGH, given that
DF =AB
DH = AC
and angle F = angle A
This cannot be taken as SAS congruence because the angle F is not included between the equal sides. Two triangles can be congruent by SAS only if two sides and included angle are congruent.
For triangles ABC and TUV we have AB=TU, AC = TV and
included angles between these sides are equal.
So these two triangles are congruent
We write corresponding sides only in order Hence ABC = TUV
and Not VTU =ABC
So option A is true.
312 gallons of white paint, $17.50 each gallon
134 gallons of blue paint, $19 for each gallon
312 x 17.50 = $5,460
134 x 19 = $2,546
5460 + 2546 = $8,006
Answer:
Therefore,
Step-by-step explanation:
Consider a Δ ABC with
m∠ B= 45°
m∠ C = 90°
AB = c = 15 cm
To Find:
BC = a = y ?
Solution:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.
We know in a Triangle Sine Rule Says that,
In Δ ABC,
substituting the given values we get
∴ 
Similarly for 'x',
Therefore,
Make an equation
Y = 17.95 + 0.87x
Y = total cost, x = miles
153.67 = 17.95 + 0.87x
135.72 = 0.87x
x = 156 miles
