Answer:
7.9 m
Step-by-step explanation:
Use the Pythagorean theorem: a²+b²=c²
This formula can be used to solve a side of any right (90°) triangle.
c² is the length of the hypotenuse (the diagonal side of the triangle, opposite to the 90° angle)
So, c = 32m.
Sides a and b are the legs of the triangle, but we only know one side. Plug numbers into the formula:
31² + b² = 32²
961 + b² = 1024 Subtract 961 from both sides to get b² by itself.
b² = 63
√b² = √63 Square root both sides to get b by itself.
b = 7.93725
Answer is 7.9 meters, rounded to tenths place
Y is equal to 1 because to change 15 into 5 you have to divide by 3. 15/3=5. So you do the same to the other coordinate. Divide 3 by 3 to get 1.
Answer:
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
Step-by-step explanation:
Answer:
12+3lessthanequalto7
Step-by-step explanation:
12+3lessthanequalto7
Answer: Since, m∠2 + m∠1 = 180° [Supplementary angles]
125° + m∠1 = 180°
m∠1 = 180° - 125°
m∠1 = 55°
2). Since ∠7 ≅ ∠12 [alternate interior angles]
m∠7 = m∠12 = 37°
3). m∠3 = m∠18 = 102° [Alternate exterior angles]
4). m∠8 + m∠3 + m∠7 = 180°
m∠8 + 102 + 37 = 180
m∠8 = 41°
5). m∠14 = (m∠7 + m∠8) [Alternate angles]
m∠14 = 37 + 41 = 78°
6). m∠4 = 180° - m∠3 [Linear pairs]
= 180 - 102
= 78°
7). m∠9 = m∠3 = 102° [Vertical angles]
8). m∠15 = m∠2 [Alternate exterior angles]
= 125°
9). m∠5 = m∠15 [Corresponding angles]
= 125°
10). m∠10 + m∠5 = 180° [Sum of interior angles on one side of the transversal]
m∠10 = 180 - 125
= 55°
10). m∠16 = m∠10 = 55° [Vertical angles]
11). m∠6 = m∠10 = 55° [Alternate interior angles]
12). m∠11 = m∠15 = 125°
13). m∠17 = m∠14 = 78° [Vertical angles]
Step-by-step explanation:
