Answer:
The rational number is : 37/140
Explanation:
The first number given is three sevenths which can be written as 3/7
The second number given is one tenth which can be written as 1/10
Now, we want to get the midpoint between these two numbers. The midpoint can be calculated as follows:
midpoint = (first number + second number) / 2
midpoint = [(3/7) + (1/10)] / 2
midpoint = 37/140
Hope this helps :)
Paralalell means that is has the same slope
y=mx+b
m=slope
y=-1x-2
slope=-1
the equation of a line that passes through the point (x1,y1) and has a slope of m is y-y1=m(x-x1)
given
(2,-2) and slope is -1
y-(-2)=-1(x-2)
y+2=-x+2
minus 2
y=-x
answer is y=-x
Answer:
$1,800
Step-by-step explanation:
If Michael works 30 hours a week for $15 an hour we can use the equation:
15 x 30 = 450.
Now just multiply the given answer by 4 and you're left with:
450 x 4 = 1800.
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Answer:
Your answer would be 3 miles.
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Explanation and work:
To find the answer for this question, we would use the numbers we know that was provided in the question and use it to get us the answer.
The equation we would use in this type of question is the Pythagorean Theorem.
Pythagorean Theorem:
a² + b² = c²
When you draw out the different locations, it would end up looking like a triangle since you trying to find the diagonal line from the grocery store to the house. In the triangle, it would be the hypotenuse. I will put a picture below.
Lets start solving:
1.8 would be plugged into "a"
2.4 will be plugged into "b"
(1.8)² + (2.4)² = c²
↓ ↓ ↓
3.24 + 5.76 = c²
↓
9 = c²
↓
√9 = √c²
↓
3 = c
3 miles would be your FINAL answer.
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Answer:
∠ 2 = 75° , ∠ 1 = 105°
Step-by-step explanation:
∠ 2 and 75° are alternate angles and are congruent , then
∠ 2 = 75°
∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is
∠ 1 + ∠ 2 = 180°
∠ 1 + 75° = 180° ( subtract 75° from both sides )
∠ 1 = 105°
