Answer:
c = 42.5
Step-by-step explanation:
The legs of the triangle are a and b and the hypotenuse is c
Let a be the shorter leg
The hypotenuse is 5 more than the longest leg
c = b+5
The shortest leg is 20
a = 20
We can use the Pythagorean theorem
a^2 +b^2 = c^2
Substituting in what we know from above
20 ^2 + b^2 = (b+5)^2
FOIL (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25
400 + b^2 = b^2+10b+25
Subtract b^2 from both sides
400+b&2-b^2 = b^2 -b^2 +10b+25
400 = 10b+25
Subtract 25 from both sides
400-25 = 10b+25-25
375 = 10b
Divide by 10
375/10 = 10b/10
37.5 = b
But we want to find c
c=b+5
c = 37.5+5
c = 42.5
For two triangles to be congruent, we need to show is two of the
1. corresponding angles are congruent,
or,
2. all three pairs of corresponding sides are proportional,
or
3. two pairs of corresponding sides are proportional AND the included angles are congruent.
Choice D saus, angles Q and Q' are congruent, angles R and R' are congruent, therefore satisfies the first criterion that at least two corresponding angles are congruent.
Answer:
It would be 80% :)
Hope this helps!
Step-by-step explanation:
32 ÷ 40 = 0.8
0.8 × 100/100 =
0.8 × 100% =
(0.8 × 100)% =
80%
The answer is D. it is outside the function and not opposite
