Answer:
<u>See answers below:</u>
- 1. AAS
- 2. ASA
- 3. SAS
- 4. HL
- 5. SSS
- 6. ΔABC ≅ ΔDFE
- 7. ΔTRS ≅ ΔTUV
- 8. ΔTRS ≅ ΔSUT
- 9. ΔCAB ≅ ΔFDE
Answer:
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to call the numbers x and y.
A number is equal to twice a smaller number plus 3.
Greater number is x, and smaller is y. So
The same number is equal to twice the sum of the smaller number and 1.
This means that 
Equaling the values for x:
Since division by 0 does not exist, it means that there is no solution for the system.
The expression 3r - 6 can be written as 3(r-2), because when you distribute 3(r-2) you get 3r -6. So they are equivalent.
Answer: 65 grams
Step-by-step explanation:
If 130 grams of a gold alloy (a mixture of gold and one or more other metals) containing 85% pure gold, you should first calculate the amount of gold that makes up this percentage.
That is, 85% of 130 grams.
85/100 × 130 = 110.5
Then, let X be what will be added to the above value to make 90%. So,
(110.5 + X) / ( 130 + X ) × 100 = 90
Divide both sides by 100
(110.5 + X) / ( 130 + X ) = 90/100
(110.5 + X) / ( 130 + X ) = 0.9
Cross multiply and open the bracket
110.5 + X = 117 + 0.9X
Collect the like terms
X - 0.9X = 117 - 110.5
0.1X = 6.5
Divide both sides by 0.1
X = 6.5/0.1
X = 65 grams
Therefore, the amount of pure gold that should be added is 65 grams
If
the triangle would be acute
If
the triangle would be right
If
the triangle would be obtuse
Hope this helps!
