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marshall27 [118]
3 years ago
11

Please Help! Given parallelogram ABCD with the measures shown, what is the Measure of 5?

Mathematics
1 answer:
Scilla [17]3 years ago
5 0

Answer:

m\angle 5=76\degree.

Step-by-step explanation:

In the given parallelogram, line AC is a transversal.

Using the alternate interior angles theorem,

m\angle 5=76\degree.

You can observe this by tracing a Z-pattern.

You will then observe that m<5 and the 76\degree angles are alternate interior angles.

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The low temperature (in degrees Fahrenheit) for one week in Minneapolis, MN were Mon Tue Wed Thur Fri Sat Sun –6 –4 –5 2 0 3 –7
Alika [10]
Part A : You want to arrange the larger negative numbers to the left, so the number farthest left would be -7, followed by -6, -5, -4, and then 0. Then 2 is next, followed by 3. So the answer would be : -7, -6, -5, -4, 0, 2, 3.

Part B : So on that day on January, it's saying the Minnesota's degree was -14 degrees Fahrenheit and New York was -5. And he's saying that New York is colder. This is incorrect because people often make this mistake when working with negative numbers. Think of the numbers on a number line, on the negative side, the farther you are away from zero, the colder it will be. The closer you are to zero on the negative side, the less colder it'll be. On the positive side, the farther you are away from zero, the hotter it will be. The closer you are to zero on the positive side, the more warmer, this is why he is incorrect.

Part C : It would be -61 degrees Fahrenheit, because as I mentioned earlier, the farther you are away from zero on the negative side, the colder it'll be. 




4 0
3 years ago
Read 2 more answers
The product of two consecutive positive odd numbers is 195.By constructing a quadratic equation and solving it, find the two num
Tomtit [17]

Step-by-step explanation:

x = one odd number

the second odd number is (x+2), as both are consecutive.

so,

x × (x + 2) = 195

x² + 2x = 195

x² + 2x - 195 = 0

the formula to solve this is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -195

x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =

= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =

= (-2 ± 28)/2 = -1 ± 14

x1 = -1 + 14 = 13

x2 = -1 - 14 = -15 which is invalid as the numbers are positive.

so, the two numbers are 13 and 15.

5 0
3 years ago
F(x)=x^2 horizontal shift of 3 vertical shift of -2 reflected over the x-axis. Write the equation
Cerrena [4.2K]

f(x) = -(x-3)^{2} -2 is the required function.

<u>Step-by-step explanation:</u>

We have to find the transformation after the horizontal and vertical shifts and then reflection over the x-axis for the given function.

f(x) = x^{2}

If there is a horizontal shift of 3, then the function becomes, f(x) = (x-3)^{2}

If there is a vertical shift of -2, then the function becomes, f(x) = (x-3)^{2} -2

The function is reflected over the x- axis then the function becomes,

f(x) = -(x-3)^{2} -2

5 0
3 years ago
A baker needs
Makovka662 [10]

Answer:

3

Step-by-step explanation:

The Baker needs 18 eggs to make 6 dozen.

He also uses 24 eggs to make 8 dozen

18/6=3

24/8=3

So,1 dozen=1×3=3

5 0
2 years ago
Solve for x<br> Solve for x
hichkok12 [17]

Answer:

23.1

Step-by-step explanation:

14/20*x/33

Cross multiply

14*33=20*x

462=20*x

462/20=x

23.1=x

Hope this helps :)

5 0
3 years ago
Read 2 more answers
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