Part A: X=(35-(100*0.10))/5 35= 5X+(100*0.10)
Where X is the number of dogs he walked.
Part B: To solve the equation just simplify it by using inverse operations. It should give you 5 dogs walked. The algebraic property justifying this is inverse operations.
Part C: Emerson walked 5 dogs last week.
Value of x is 11
Step-by-step explanation:
- Step 1: Find x when ΔABC ≅ ΔDEC.
When these two triangles are congruent, their corresponding angles and sides will be equal.
⇒ ∠B = ∠E
⇒ 44° = 4x
∴ x = 44/4 = 11
The LCD is 30. The fractions would be 9/30 and -8/30
The length of EF in the given triangle is 8.80 m.
Step-by-step explanation:
Step 1:
In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.
The angle given is 90°, this makes the triangle a right-angled triangle.
So first we calculate the angle of E and use that to find x.
Step 2:
As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.


So the angle E of the triangle DEF is 57.087°.
Step 3:
As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.


Rounding this off to the nearest hundredth, we get x = 8.80 m.