When two straight lines or rays intersect at a shared endpoint, an angle is generated. The correct option is A.
<h3>What is an angle?</h3>
When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
The diagram for the given problem can be made as shown below. Therefore, the other name for angle 2 will be ∠DGE.
Hence, the correct option is A.
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The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (2⁴)⁻¹
Using the properties of the integer exponent:
= 1/2⁴
The above number is one over two raised to the fourth power
Thus, the simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
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D + q = 110......d = 110 - q
0.10d + 0.25q = 20.30
0.10(110 - q) + 0.25q = 20.30
11 - 0.10q + 0.25q = 20.30
-0.10q + 0.25q = 20.30 - 11
0.15q = 9.30
q = 9.30/0.15
q = 62 <==== there are 62 quarters
d = 110 - q
d = 110 - 62
d = 48 <==== there are 48 dimes
Answer: 1.78 L are needed to complete the gallon and it will take 29.66 min to completely fill it
Step-by-step explanation:
The question in english is:
A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?
We know 1 gallon is equal to 3.78 liters:

In addition, we are told you have filled the gallon with
at a rate of
.
So, if we want to know how many liters are left to completely fill the gallon, we have to sbstract the
to the total amount of a gallon:
This is the amount you need to complete the gallon
On the other hand, the rate is defined as:

Isolating
:

Then, if we input the
we need to fill the gallon we will have the time:

This is the time you need to fill the gallon
Answer:
First one, second one, fourth one, and last one
Step-by-step explanation: