Answer:
see below
Step-by-step explanation:
Corresponding angles of similar triangles are equal and corresponding sides are proportional so:
m ∠P = m ∠D = 180° - (35° + 89°) = 56°
m ∠Q = m ∠F = 89°
m ∠ R = m ∠E = 35°
PR/DE =PQ/DF
40/DE = 20/24 cross multiply and solve for DE
DE = 40*24/20
DE = 48
scale factor is DF/PQ = 24/20 = 6/5 so FE = 6/5 *RQ =6/5 *36 = 43.2
Take x-2=0
x=2
put the value of x in the equation
2^2 + 3(2) + k =0
4+6+k=0
10+k=0
k= -10
hope you understand
23ft kekdkfkkfkf 23 for the number above
Answer:
Not congruent; not congruent; congruent; congruent; not congruent; not congruent
Explanation:
In order to be congruent, the side lengths of both triangles must be equal.
The base of triangle ABC is 2 units. The base of triangle MNP is also 2 units. The height of triangle ABC is 3 units; but the base of triangle MNP is not 3 units, it is 4. The triangles are not congruent.
Similarly, both ABC and EFG have a base of 2 units. However, the height of ABC is 3 while the height of EFG is 4; the triangles are not congruent.
The bases of ABC and STU are both 2 units, and the height of each is 3 units. The triangles are congruent.
The base of EFG is 2, as is the base of MNP. Both triangles also have a height of 4; the triangles are congruent.
The base of EFG is 2 units, as is the base of STU. However, the height of EFG is 4 while the height of STU is 3; the triangles are not congruent.
The base of STU is 2 units, as is the base of MNP. However, the height of STU is 3 while the height of MNP is 4; the triangles are not congruent.
More than means to add.
Quotient means to divide.
4 + (12/x)
