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Shtirlitz [24]
3 years ago
8

Lines Line A E and Line G H are parallel in the image below. The image will be used to prove that the sum of the measures of the

interior angles of Triangle C G H is 180°. Lines A E and G H are parallel. Angles F and C are congruent. Which statement would be included in a proof of why Measure of angle C + measure of angle G + measure of angle H = 180 degrees.? Angles F and H are congruent. Angles C and E are congruent. Angles A and G are congruent. Angles F and C are congruent.

Mathematics
2 answers:
Digiron [165]3 years ago
4 0

Answer:

Angles F and C are congruent, but the answer is E and C are congruent.

Step-by-step explanation:

Sorry Gotta GO

mr Goodwill [35]3 years ago
3 0

Answer:

Angles F and C are congruent

Step-by-step explanation:

In the figure attached, the missing image is shown.

From the figure, it can be seen that Angles F and C are opposite angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent .

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A lidless box is to be made using 2m^2 of cardboard find the dimensions of the box that requires the least amount of cardboard
Jlenok [28]
1.8, Problem 37: A lidless cardboard box is to be made with a volume of 4 m3 . Find the dimensions of the box that requires the least amount of cardboard. Solution: If the dimensions of our box are x, y, and z, then we’re seeking to minimize A(x, y, z) = xy + 2xz + 2yz subject to the constraint that xyz = 4. Our first step is to make the first function a function of just 2 variables. From xyz = 4, we see z = 4/xy, and if we substitute this into A(x, y, z), we obtain a new function A(x, y) = xy + 8/y + 8/x. Since we’re optimizing something, we want to calculate the critical points, which occur when Ax = Ay = 0 or either Ax or Ay is undefined. If Ax or Ay is undefined, then x = 0 or y = 0, which means xyz = 4 can’t hold. So, we calculate when Ax = 0 = Ay. Ax = y − 8/x2 = 0 and Ay = x − 8/y2 = 0. From these, we obtain x 2y = 8 = xy2 . This forces x = y = 2, which forces z = 1. Calculating second derivatives and applying the second derivative test, we see that (x, y) = (2, 2) is a local minimum for A(x, y). To show it’s an absolute minimum, first notice that A(x, y) is defined for all choices of x and y that are positive (if x and y are arbitrarily large, you can still make z REALLY small so that xyz = 4 still). Therefore, the domain is NOT a closed and bounded region (it’s neither closed nor bounded), so you can’t apply the Extreme Value Theorem. However, you can salvage something: observe what happens to A(x, y) as x → 0, as y → 0, as x → ∞, and y → ∞. In each of these cases, at least one of the variables must go to ∞, meaning that A(x, y) goes to ∞. Thus, moving away from (2, 2) forces A(x, y) to increase, and so (2, 2) is an absolute minimum for A(x, y).
5 0
3 years ago
(9 x 10 ^10) - ( 4x10^10)
Marianna [84]

Answer:

5 * 10^10

Step-by-step explanation:

that's it bro. learn how to do it. then you won't need brainly anymore foo'.

4 0
3 years ago
Important guyz.....
dusya [7]

Answer:

When two functions combine in a way that the output of one function becomes the input of the other, the function is a composite function.

Step-by-step explanation:

In mathematics, the composition of a function is a step-wise application. For example, the function f: A→ B & g: B→ C can be composed to form a function that maps x in A to g(f(x)) in C. All sets are non-empty sets. A composite function is denoted by (g o f) (x) = g (f(x)). The notation g o f is read as “g of f”

3 0
2 years ago
If the measure of angle 1 is (3 x minus 4) degrees and the measure of angle 2 is (4 x + 10) degrees, what is the measure of angl
arlik [135]

Answer:

58 degrees

Step-by-step explanation:

If angle 1 + angle 2 = 90 degrees, then:

(3x - 4) + (4x+10) = 90

Combine like terms:

(3x+4x) + (10-4) = 90

7x + 6 = 90

Subtract 6 from both sides:

7x = 84

Divide both sides by 7:

x = 12

**Plug x back into angle 2 (This step is easy to forget!):

angle 2 = 4(12) + 10

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angle 2 = 58 degrees

4 0
3 years ago
The perimeter of a rectangle is 78cm.
mestny [16]

Answer:

17 cm

Step-by-step explanation:

P=2L+2W

L=22, P=78 we want to find W

78=2(22)+2W

78=44+2W

34=2W

W=17 cm

3 0
2 years ago
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