9514 1404 393
Answer:
1. HA is equivalent to AAS when the triangle is a right triangle.
2. AM = BM, so the triangles are congruent by HL. CPCTC
3. The triangles are congruent by HL. CPCTC
Step-by-step explanation:
1. The acute angle of the triangle together with the right angle comprise two angles of the triangle. When two corresponding angles and a corresponding side (the side opposite the right angle) are congruent, the right triangles are congruent by the AAS theorem. (This can be referred to as the HA theorem.)
__
2. CM = DM; MA = MB; ∠A = ∠C = 90°, so all of the requirements for the HL theorem are met. ΔCMA ≅ ΔDMB, so AC ≅ BD by CPCTC.
__
3. TS = TV, TR = TR, ∠S = ∠V = 90°, so all requirements for the HL theorem are met. ΔTSR ≅ ΔTVR, so RS ≅ RV by CPCTC.
Jill lost 1/3
Bill lost 1/6
and Jack lost 1/4
Make a common denominator - let's use 12
Jill lost 4/12
Bill lost 2/12
Jack lost 3/12
Add them together = 9/12
reduce by dividing by 3.
total of 3/4 spilt
48 divided into 4 parts then multiplied by 3 of those parts
48 / 4 * 3 = 36
These are the answers that i got
Answer:
8
Step-by-step explanation:
( 12 + 3m ) / 2 = 18
12 + 3m = 18 x 2
12 + 3m = 36
3m = 36 - 12
3m = 24
m = 24 / 3
m = 8
<span>"ratio of princesses to celebrities is 3:1"
The are 3 more times princesses as celebrities.
</span>"<span>The ratio of superheros to princesses is 5:4"
For each 4 princesses, there are 5 superheroes.
For 1 celebrity, there are 3 pincesses.
For 4 celebrities, there are 12 princesses.
For 12 princesses, there are 15 superheroes.
The ratio of celebrities to princesses to superheroes is
4:12:15 or 4x:12x:15x
Add them: 4x + 12x + 15x = 31x
31x = 93
x = 93/31 = 3
Celebrities: 4x = 4(3) = 12
Princesses: 12x = 12(3) = 36
Superheroes: 15x = 15(3) = 45
</span>
