Define variables:
w = price of a sweater, in dollars
h = price of a shirt, in dollars
2. Set up two equations representing the problem:
w+=+2h+-+5
4h+%2B+3w+=+275
3. Since an equation for one variable is solved, substitute the answer for the variable in the other equation:
4h+%2B+3%282h+-+5%29+=+275
4. Distribute the 3:
4h+%2B+6h+-+15+=+275
5. Combine two terms:
10h+-+15+=+275
6. Add 15 to both sides:
10h+-+15+%2B+15+=+275+%2B+15
7. Cancel and combine terms:
10h+=+290
8. Divide both sides by 10:
%2810h%29%2F10+=+290%2F10
9. Finish simplification:
h+=+29
10. Replace h in your first equation:
w+=+2%2829%29+-+5
11. Solve for w:
w+=+58+-+5
w+=+53
12. Combine your solved equations with your variable definitions for your answer:
A shirt costs $29 and a sweater costs $53.
Answer:
you've gotta show us the slope so that we can help u
Answer:
A. She can rotate AABC 90° and then compare the angles and sides.
She will see that the triangles are congruent by the Angle Side Angle theorem.
Step-by-step explanation:
Congruent is a term that implies that a thing is identical to another (having the same shape and size). For congruent triangles, they have the same shape and size; they can be tilted or rotated to be at different angles but they have the same shape and size irrespective.
The following information were given:
D - 30°, 3 cm, 65°
B - 30°, 3 cm, 65°
From this information, we can conclude that <u>the triangles are congruent based on the Angle Side Angle theorem</u>. However, because the diagram was not included, we cannot conclusively say which is the more accurate answer between Options A & B.
Answer:
Step-by-step explanation:
Example: Solve this triangle
right angled triangle 5 12 c
Start with: a2 + b2 = c2
Put in what we know: 52 + 122 = c2
Calculate squares: 25 + 144 = c2
25+144=169: 169 = c2
Swap sides: c2 = 169
Square root of both sides: c = √169
Calculate: c = 13