Samantha earned 6 dollars per hour if she earned $150 for working 25 hours.
Equation: 150= 25x
25x=150
X=6
Answers:
A) △ACF ≅ △AEB because of ASA.
D) ∠CFA ≅ ∠EBA
E) FC ≅ BE
Solution:
AC ≅ AE; ∠ACD ≅ ∠AED Given
The angle ∠CAF ≅ ∠EAB, because is the same angle in Vertex A
Then △ACF ≅ △AEB because of ASA (Angle Side Angle): They have a congruent side (AC ≅ AE) and the two adjacent angles to this side are congruent too (∠ACD ≅ ∠AED and ∠CAF ≅ ∠EAB), then option A) is true: △ACF ≅ △AEB because of ASA.
If the two triangles are congruent, the ∠CFA ≅ ∠EBA; and FC ≅ BE, by CPCTC (Corresponding Parts of Congruent Triangles are Congruent), then Options D) ∠CFA ≅ ∠EBA and E) FC ≅ BE are true
Answer:
0.5r
Step-by-step explanation:
If Jerry took half the time Macy did then that means Macy took twice as long as Jerry. If Jerry’s speed was r then Macy’s speed is 0.5r or half the speed of Jerry. This will mean Macy goes half as slow and takes twice as long to get there.
Answer:
Step-by-step explanation:
Let A = Adam, B = Betty
Adam and Betty purchased a printer together for $258.
This means we can say A + B = 258.
We are also told Adam paid $18 less than twice Betty.
You can write this as:
Adam = 2 x Betty - 18
A = 2B - 18
Substitute "A" into the A + B equation and you get:
A + B = 258
2B - 18 + B = 258
3B - 18 = 258
Add 18 to both sides.
3B = 258 + 18
3B = 276
Divide both sides by 3 to find B
B = 276/3 = 92 (This means Betty paid $92).
Since the total that they paid together was $258.
This means Adam pays the Total - How much Betty paid
Adam = 258 - 92 = $166
Answer:
8.5b - 3.4(13a - 3.2b) + a = 19.4b - 43.2a
Step-by-step explanation:
It is a simple mathematical problem with multiple like terms. We can solve it by applying basic mathematical rules of multiplication and addition/subtration.
8.5b - 3.4(13a - 3.2b) + a
= 8.5b - 3.4*13a -3.4*(-3.2b) + a
= 8.5b - 3.4*13a + 3.4*3.2b + a
= 8.5b - 44.2a + 10.88 b + a
Now, only like terms can be added to each other
= (8.5b + 10.9b) + (a - 44.2a)
= 19.4b + (-43.2a)
= 19.4b - 43.2a
