Answer:
see explanation
Step-by-step explanation:
This is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
16 = ( 4 )² ⇒ a = 4
1 = 1² ⇒ b = 1
Hence
16 - 1
= (4 )² - 1²
= (4 - 1)(4 + 1)
4 - 1 ← is also a difference of squares and factors as
(2x² - 1)(2x² + 1)
Thus
16 - 1
= (2x² - 1)(2x² + 1)(4 + 1 )
<h3>
Answers: SSA and AAA</h3>
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Explanation:
The following theorems are triangle congruence theorems
- SSS = side side side
- HL = hypotenuse leg
- SAS = side angle side
- AAS = angle angle side
- ASA = angle side angle
The HL theorem only works for right triangles. It's effectively a special case of SAS.
After the theorems mentioned are crossed off the answer choice list, we're left with SSA and AAA as the answers.
SSA isn't a congruence theorem because it could lead to vague outcomes (refer to the SSA ambiguity for more info).
AAA isn't a congruence theorem either. Imagine having 2 equilateral triangles but one triangle is much larger than the other. Clearly they aren't congruent even though the angles are all the same (60 degrees).
100% - 75 %= 25% ($48 is 25 percent of the original price)
finding original price = price after discount / percentage
= $48 ÷25%
=$48 × 100/25
=$48 × 4/1
=$192 (original price)
Answer:
28
Step-by-step explanation:
I am assuming that "voice" is boys. So there were 20 girls and 10 boys. The number of girls decreased by 30%, so the amount of girls now is 70% of the old amount, so there are 7/10 * 20 girls now = 14 girls. The number of boys increased by 40%, so the number of boys now is 14/10 the original number of boys, so there are 14 boys now. 14+14=28 members on the swimming team
Answer:
1. 1:2
2. x=12
3. $25:$20
4. 15 cats
5. 16 t
6. p=4
7. $15/6 = 2.50
8. 10/5=2 8/2=4 x=4
8b. 8:10=4:5
9. 270/3=90=1 person 90 x 10=$900
you need $900 to bring 10 people on the fishing trip.
Step-by-step explanation:
3. 75/3=25 100/5=20