Bly sold 29 scarves last month
<em><u>Solution:</u></em>
Let "x" be the number of scarves sold
Bly made 7 more scarves than she sold
Then, number of scarves made = x + 7
Bly makes fleece scarves and sells them for $11 each
Thus for selling "x" scraves , he will get 11x dollars
Total sales revenue = 11x
number of scarves made = x + 7
The supplies cost her $5 per scarf
Therefore, cost for scarves made = 5(x + 7)
Therefore,
profit = Total sales revenue - cost for scarves made
profit = 11x - 5(x + 7)
profit = 11x - 5x - 35
profit = 6x - 35
Last month, Bly had a profit of $139
139 = 6x - 35
6x = 174
x = 29
Thus Bly sold 29 scarves last month
U.s marine core semper fi
Good idea to look up the formula for "surface area of a sphere" and to write it down for later reference. It is A=4 pi r^2, where r is the radius of the sphere.
If the given sphere has a diameter of 7 cm, what is the radius of this sphere?
Write your answer inside the parentheses, below:
Sphere surface area = 4 pi (r)^2, or (in this case), A = 4(3.14)( )^2
Answer:
1. ΔXYZ is a right Δ with altitude YU.
Given
2. ΔXYZ ~ ΔYUZ
Right Triangle Altitude Similarity Theorem
3. VW || XY
Given
4. ∠VWZ ≅ ∠XYZ
Corresponding angles
5. ∠Z ≅ ∠Z
Reflexive property of congruence
6. ΔXYZ ~ ΔVWZ
AA Similarity postulate
7. ΔYUZ ~ ΔVWZ
Transitive property of similar triangles
Step-by-step explanation:
The first statement is given in the problem. Since we know the altitude of a right triangle, we can use the Right Triangle Altitude Similarity Theorem to say that the triangles formed by the altitude are similar to each other and the original triangle.
Next, we are given in the problem statement that the lines VW and XY are parallel. Therefore, ∠VWZ and ∠XYZ are corresponding angles, which makes them congruent. And since ∠Z is equal to itself (by reflexive property), we can use AA similarity to say ΔXYZ and ΔVWZ are similar.
Finally, combining statements 2 and 6, we can use transitive property to say that ΔYUZ and ΔVWZ are similar.
