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Bad White [126]
3 years ago
7

One triangular face of the prism shown has an interior angle with a measure of 65° and an exterior angle with a measure of 120°.

What is the measure of the marked interior angle?
A.25°
B.45°
C.55°
D.65°

Mathematics
2 answers:
PolarNik [594]3 years ago
7 0

Answer:

55

Step-by-step explanation:

120 - 65 = 55

Marysya12 [62]3 years ago
6 0
Sussy among us sussy baka
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What is the surface area of this figure?
Rus_ich [418]
To do this problem, you need to add together all of the faces!

These are all the faces

A = 8*6
B = 8*6
C = 6*6
D = 6*6
E = 14*6
F = 14*6
G = 14*14 - 8*6
H = 14*14 - 8*6

Adding them all together would get you:

SA = 484 ft^2

I hope this helps!


4 0
3 years ago
Consider the differential equation4y'' − 4y' + y = 0; ex/2, xex/2.Verify that the functions ex/2 and xex/2 form a fundamental se
Nina [5.8K]

Step-by-step explanation:

Let y1 and y2 be (e^x)/2, and (xe^x)/2 respectively.

The Wronskian of them functions be

W = (y1y2' - y1'y2)

y1 = (e^x)/2 = y1'

y2 = (xe^x)/2

y2' = (1/2)(x + 1)e^x

W = (1/4)(x + 1)e^(2x) - (1/4)xe^(2x)

= (1/4)(x + 1 - x)e^(2x)

W = (1/4)e^(2x)

Since the Wronskian ≠ 0, we conclude that functions are linearly independent, and hence, form a set of fundamental solutions.

8 0
3 years ago
Will the second showing be over by 6:30
const2013 [10]
Yes it will isnt that amazing now you can do more stuff.
3 0
3 years ago
The slope of the line below is to use the corners of the labeled point to find a point slope equation of the line.
dexar [7]

Answer: Choice A)  y - 10 = 2(x - 3)

============================================================

Explanation:

We can rule out choices C and D because this diagonal line has a positive slope (as it moves uphill when moving to the right).

So m = 2 must be the slope.

---------

Recall that

y - y1 = m(x - x1)

represents the point slope form of a linear equation.

The point shown on this graph is (3,10) meaning that x1 = 3 and y1 = 10 pair up together.

So,

y - y1 = m(x - x1)

y - 10 = 2(x - 3)

which points to <u>choice A</u> as the final answer

4 0
3 years ago
The length of a rectangle is 2 meters less than 2 times the width. The perimeter is 20 meters. Find the width.
kakasveta [241]
The equation you'd make would be (2x-2)+(2x-2)+x+x=20 because the length is 2 m less than the width (x). To simplify, it'd be 6x-4=20 because you combine like terms. You then move the -4 over to the 20 to make it 6x=24. The final answer is 4 meters.
4 0
4 years ago
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