Answer:
Step-by-step explanation:
Looking at both triangles, angle P in triangle PQR = 38 degrees. Angle N in triangle LMN = 38 degrees. Both angles are equal.
Side PQ in triangle PQR = 16
Side MN in triangle LMN = 8
Therefore,
PQ/MN = 16/8 = 2
Side PR in triangle PQR = 14
Side LN in triangle LMN = 7
Therefore,
PR/LN = 14/7 = 2
Therefore, triangle PQR is similar to
triangle LMN because
1) the length of PQ is proportional to the length of MN.
2) the length of PR is proportional to the length of LN
3) angle P = angle N
4) Therefore, QR is also proportional to ML
Therefore,
PQ/MN = PR/LN = QR/ML = 2
Answer:
16 is 80 percent of 20.......
Answer:
Step-by-step explanation:
We are given;
The equation of a line;
We are required to determine the equation of a line perpendicular to the above line and passing through (-2, -2).
- We can get the gradient of a line when given its gradient and a point where it is passing through.
We need to know that the product of gradient of two parallel lines is -1
- Therefore, we can get the gradient of the unknown line;
m₁× m₂ = -1
Thus;
m₂ = -1 ÷ -2/3
= 3/2
Thus, the gradient is 3/2 and the line passes through (-2,-2)
Thus, to get its equation, we take another point (x,y)
We get;
Then;
Combining the like terms,
In the form of slope-intercept;
Hi there!
We can use the Pythagorean Theorem to solve:
Use the formula a² + b² = c² where:
"a" and "b" are the legs
"c" = Hypotenuse
The diagonal side, or the length of the ladder is 10cm, and one of the legs of the triangle is 8cm, therefore:
(8)² + b² = 10²
64 + b² = 100
Subtract 64 from both sides:
b² = 36
Take the square root of both sides:
√b² = √36
b = 6 cm. This is the distance of the wall from the foot of the letter.
Edit: Typo.
Right angles are always congruent.