Answer:
AAS is an acronym for Angle-Angle-Side. It basically means that if two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of a second triangle, then the two triangles are congruent. SAS is an acronym for Side-Angle-Side. It means that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SSS is an acronym for Side-Side-Side. It means that if three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. ASA is an acronym for Angle-Side-Angle. It means that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
In the problem, we know that the corresponding sides of both triangles are congruent to each other, so those would be given. The third side of each triangle would also be congruent because of reflexive property. Reflexive property means that the two triangles share a line segment. So, the answer would be SSS.
9514 1404 393
Answer:
A, B, D
Step-by-step explanation:
The sides in order from smallest to largest are ...
AC, BC, AB
Then the opposite angles in order from smallest to largest are ...
B, A, C
Let's consider the choices:
A. m∠A < m∠C --- true
B. m∠B = m∠C --- true
C. m∠A < m∠B --- false
D. m∠B < m∠A < m∠C --- true
<span>3a+4x=29 (1st)
2a-3x=-9 (2nd)
multiply (1st) by 3 and (2nd) by 4
</span>9a + 12x = 87 (1st)
8a - 12x = -36 (2nd)
---------------------add
17a = 51
a = 3
<span>2a-3x=-9
</span><span>2(3)-3x=-9
6 - 3x = -9
-3x = -15
x = 5
answer
x = 5 and a = 3</span>
Answer:
Step-by-step explanation:
The revenue r(x) from the sale of x coffee mugs is given by
r(x) = 6.5x
the function for the cost of manufacturing x coffee mugs is c(x)= 0.75x + 1850.
Profit = Revenue - cost
P(x) = r(x) - c(x)
P(x) = 6.5x - (0.75x + 1850)
P(x) = 6.5x - 0.75x - 1850
P(x) = 5.75x - 1850
A) profit when x = 500 is
P = 5.75 × 500 - 1850
P = 2875 - 1850
P = 1025
profit when x = 1000 is
P = 5.75 × 1000 - 1850
P = 5750 - 1850
P = 3900
profit when x = 5000 is
P = 5.75 × 5000 - 1850
P = 28750 - 1850
P = 26900
B) The profit function would be
P(x) = r(x) - c(x)
P(x) = 5.75x - 1850
