Yes. The two smaller squares have a sum of 169 which is the value of the larger square.
a^2 + b^2 = c^2
25 + 144 = 169
It can be done. Notice the figure below shows you how to arrange the squares to give the answer of a^2 + b^2 = c^2
The length of PQ is 19.66 units
Step-by-step explanation:
The given is:
1. PK = KQ = 12
2. m∠P = 35º
We need to find the length pf PQ
∵ PK = KQ
∴ m∠P = m∠Q
∵ m∠P = 35°
∴ m∠Q = 35°
The sum of measures of the angles of a triangle is 180°
∴ m∠P + m∠Q + m∠K = 180°
∴ 35 + 35 + m∠K = 180
∴ 70 + m∠K = 180
- Subtract 70 from both sides
∴ m∠K = 110°
Let us use cosine rule to find the length of PQ
∵ PQ = 
∵ PK = 12 , KQ = 12 , m∠K = 110°
- Substitute these values in the rule
∴ PQ = 
∴ PQ = 19.66
The length of PQ is 19.66 units
Learn more:
You can learn more about triangle in brainly.com/question/12985572
#LearnwithBrainly
Answer:
the slope that is perpendicular to line y=-7x-12 is 1/7
1/7 is the perpendicular slope
Step-by-step explanation:
Answer:
y=4x-8.5
Step-by-step explanation:
Use point- slope form, since you are given one point and one slope.
y-y₁=m(x-x₁)
Plug coordinates and slope in.
y-(-1/2)=4(x-2)
Solve
y+1/2=4x-8
y=4x-8.5