Answer:
Step-by-step explanation:
a). Ratio of OP and RT = 
= 
= 
b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.


OQ = 
OQ = 15 cm
c). m∠P = m∠T = 60°
d). m∠Q = m∠S
By applying angle sum theorem in ΔRST,
m∠R + m∠S + m∠T = 180°
26° + m∠S + 60° = 180°
m∠S = 180° - 86°
= 94°
Therefore, m∠Q = m∠S = 94°
Well, we know the amount of cups of sugar it calls per 1/2 teaspoon, so all we need to do to find the amount of cups of sugar per teaspoon is multiply by 2, since 1/2 teaspoon * 2 = 1 teaspoon.
2/3 * 2 = 1 1/3
The unit rate is 1 1/3 cups per teaspoon
Hope that helped =)
Answer:
GH= 47
Step-by-step explanation:








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Answer:

Step-by-step explanation:
So we have the system:

If we isolate the x-variable in the first equation:

Subtract 2y from both sides:

Divide both sides by -1:

Therefore, we would substitute the above into the second equation:

The answer is 2y+6
Further notes:
To solve for the system, distribute:

Simplify:

Subtract:

Divide:

Now, substitute this value back into the isolated equation:

It is A. 2^12.
The question asks for the value of 8 to the x-power. Divided by 2 to the y-power. the trick to solving this is to rewrite 8^x as 2^3x. so you will have 2^3x divided by 2^y. since the bases are now the same , you can subtract the exponents to get the result of 2^3x-y. since it is given the 3x-y is 12. your final answer is 2^12