Answer:
Below!
Step-by-step explanation:
Using Pythagoras theorem, I will solve all of the problems.
<h3>________________________________________________</h3>
<u>Question 9:</u>
- 10² = 6² + x²
- => 100 = 36 + x²
- => 100 - 36 = x²
- => 64 = x²
- => x = 8
<h3>________________________________________________</h3>
<u>Question 10:</u>
- 26² = 24² + x²
- => 676 = 576 + x²
- => 676 - 576 = x²
- => 100 = x²
- => x = 10
<h3>________________________________________________</h3>
<u>Question 11:</u>
- 15² = 12² + x²
- => 225 = 144 + x²
- => 225 - 144 = x²
- => 81 = x²
- => x = 9
<h3>________________________________________________</h3>
<u>Question 12:</u>
- x² = 8² + 12²
- => x² = 64 + 144
- => x² = 208
- => x = √208
- => x = 14.2 (Rounded)
<h3>________________________________________________</h3>
<u>Question 13:</u>
- 7² = 2² + x²
- => 49 = 4 + x²
- => 49 - 4 = x²
- => 45 = x²
- => x = √45
- => x = 6.7 (Rounded)
<h3>________________________________________________</h3>
<u>Question 14</u>
First, let's solve for the variable x using Pythagoras theorem.
- => 5² = 3² + x²
- => 25 = 9 + x²
- => 16 = x²
- => x = 4 units
Now, let's solve for the variable y using Pythagoras theorem.
- (3 + 6)² = 5² + y²
- => (9)² = 25 + y²
- => 81 = 25 + y²
- => y² = 56
- => y = √56
- => y = 7.5 (Rounded) units
Answers (Nearest tenth):
<h3>________________________________________________</h3>
<u>Question 15:</u>
First, let's find the value of the variable y using Pythagoras theorem.
- 8² = 6² + y²
- => 64 = 36 + y²
- => 28 = y²
- => y = √28
- => y = 5.3 (Rounded) units
Now, let's find the value of the variable x using multiplication.
- x = 2y
- => x = 2(5.3)
- => x = 10.6 units
Answer (Nearest tenth)
- x = 10.6 units
- y = 5.3 units
<h3>________________________________________________</h3>
4.7 because if you plug it in- (2,1) and (6,6) it is 4.7 units
Answer:
X = 70, y = 21
Step-by-step explanation:
53 + 6y + 1 = 6y + 54
6y + 54 = 180
180 - 54 = 126
6y = 126
126 ÷ 6 = 21
Y = 21
21 × 6 + 1 = 127
127 = 2x - 13
127 + 13 = 140
140 ÷ 2 = 70
X = 70
Opposite angles are congruent and consecutive angles are supplementary.
Hope that helped and have a great day!
Step-by-step explanation:
let the no. be x then
3/4x-18=1/2x+5
3/4x-1/2x=18+5
1/4x=23
x=23×4
x=92
The mean of data is Sally's prediction which is congruent to her cat's weigh:
mean=average weight= (13.5+12.5+10.5+11.2+11.2+10.8+9.5+13.4+11.5+11.8)/10= 11.59 lb is the answer
