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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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The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation
labwork [276]

Answer:

Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center<em> O</em> has the co-ordinates i.e. <em>(-5,2)</em> and the diameter given is <em>12 units</em>.

We know that radius is half of diameter.

\text{Radius = }\dfrac{\text{Diameter}}{2}

\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}

The equation for circle given the center and radius, can be represented as:

(x-a)^{2}+ (y-b)^{2} = r^{2}

Where <em>(a,b)</em> is the co-ordinate of center and <em>r</em> is the radius.

Let us consider the following formula:

(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq

(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0

Hence, Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

4 0
3 years ago
The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line.
stich3 [128]

Answer:

Option: D is the correct answer.

The equation of line in point-slope form is given by:

y-9=2(x-1)

Step-by-step explanation:

We know that the point-slope equation of a line is given by:

y-b=m(x-a)

where (a,b) is the point from which the line passes and m is the slope of the line.

Here we are given that:

The line passes through (1,9) and slope of the line is given to be 2.

Hence,

(a,b)=(1,9) and m=2

Hence, the equation of line is given by:

y-9=2(x-1)

Therefore, the point slope intercept equation of the line is: D

3 0
3 years ago
How many four element subsets of \{1, 2, 3, 4, 5, 6, 7\}{1,2,3,4,5,6,7} have 11 as an element but do not have 77 as an element
levacccp [35]

If we fix 1 to be an element of a subset of size 4, then we can choose from 5 other elements (2, 3, 4, 5, and 6) to fill the other 3 spots in the subset. So there are

\dbinom53 = \dfrac{5!}{3!(5-3)!} = \boxed{10}

such subsets.

4 0
2 years ago
56. What time will it be 46 hours after 9:30 p.m.
gayaneshka [121]
46 hours after 9:30 p.m. on Friday will be J. 7:30 p.m. Sunday. 
Since 46 hours is almost two days, you just need to take away those two hours, and you will get the time you need, two days after the original day.
3 0
3 years ago
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Which is greater five ones and 810s or 5810s
motikmotik
They have the same value
5 0
3 years ago
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