Answer:
x = 9 and ∠ B = 40°
Step-by-step explanation:
See the diagram given with the question first.
Here we have ∠ A = ∠ B {They are corresponding angles}
Now, it is given that ∠ A = 5x - 5 and ∠ B = 3x + 13
Hence, 5x - 5 = 3x + 13
⇒ 2x = 18
⇒ x = 9
Therefore, ∠ B = 3x + 13 = 3(9) + 13 = 40° (Answer)
Answer:
Approximately
revolutions (rounded to the nearest whole number.)
Step-by-step explanation:
Convert the diameter of this wheel to meters:
.
Circumference of this wheel:
.
Distance travelled in one hour:
.
Number of revolutions required for covering that distance:
.
Answer:
Explanation:
Work backward:
1. 2x + 23 = 30
Start:
Multiply the equation by 2:
Subtract 30 from both sides
- 2x - 30 = 7 - 30
- 2x - 30 = -23
Add 23 and 30 to both sides:
2. 3x + 19.5 = 30
Start:
Add 6.5 to both sides:
Multiply by 3:
Distributive property:
3. (10x - 20)/ 5 = 3
Start:
Multiply by 10:
Subtract 20:
Divide by 5:
Answer:
keyboard and mouse are two examples of input device
The ladder and the outside wall form a right triangle
The length of the ladder is 97.8 feet
<h3>How to determine the
length of the
ladder?</h3>
The given parameters are:
Distance (B) = 22 feet
Angle of elevation (θ) = 77 degrees
The length (L) of the ladder is calculated using the following cosine ratio
cos(θ) = B/L
So, we have:
cos(77) = 22/L
Make L the subject
L = 22/cos(77)
Evaluate the product
L = 97.8
Hence, the length of the ladder is 97.8 feet
Read more about right triangles at:
brainly.com/question/2437195