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3 years ago

(a) Draw in radii OA, OB, OC and OD. Then, explain why OAB must

Mathematics

1 answer:

lions [1.4K]3 years ago

7 0

Answer:

In the given circle, segments OA, OB, OC and OD are radius of the circle.

In other words, all those segments are congruent.

From that we can deduct that triangles OAB and OCD are isosceles triangles, because all segments are equal. That makes those triangles congruent, because they have the same sides.

From the congruence we can deduct that all corresponding internal angles inside those triangles are actually congruent, that's why angle OAB and ODC must be congruent.

Also, angles DOC and BOA are also congruent, which means their subtended arcs are also congruent, because they have the same radius, so mAB = mCD.

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Solve for x and y: x=5−2y 6y=10−3x

Mama L [17]

we have

x=5−2y ---> multiply by 3 both sides-----> 3x=15-6y-----> 6y=15-3x----> equation 1

6y=10−3x------> equation 2

equation 1 and equation 2 has the same slope

the lines are parallel

slope m=-3/6-----> m=-1/2

there are no solution

the answer is the option

b. There is no solution

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3 years ago

Choose the inequality below that x=0 is a solution to.

krok68 [10]

remember: a filled dot means it includes that point and an empty dot means it doesn't

A. has empty dot at 0 so x=0 is not incuded in the solution

B. has filled dot at x=0 so x=0 is a solution

C. has empty dot at 0 so x=0 is not incuded in the solution

D. the line doesn't even go over x=0 so not a solution

answer is B

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3 years ago

line passes through the point (-3,-4) and its y-intercept is (o, -9). What is the equation of the line that is parallel to the f

12345 [234]

Answer:

$y=-\frac{5}{3}x-2$

Step-by-step explanation:

The first line has a slope of -5/3 found using the points in the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1} =\frac{-9--4}{0--3}=\frac{-9+4}{0+3}=\frac{-5}{3}$

Parallel lines have the same slope. So -5/3 is the slope of the second line. Write its equation using the point slope form $y-y_1=m(x-x_1)$ .

$y--7=-\frac{5}{3}(x-3)\\y+7 = -\frac{5}{3}(x-3)\\y=-\frac{5}{3}x + 5 -7\\y=-\frac{5}{3}x-2$

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3 years ago

If the numbers -2.5, -1.6, -3 1/10, - 1/10, and -0.5 were graphed on a number line, which would appear farthest to the left?

Leona [35]

Turn the question around.
If all the numbers were positive: 2.5, 1.6, 3 1/10, 1/10, and 0.5, which would be farthest to the right?

The fact is that the negative numbers are a reflection of the positive numbers.
Since 3 1/10 would be farthest to the right with positive numbers, -3 1/10 will be farthest to the left with the negative numbers.

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3 years ago

I need help please??!!!

Svetradugi [14.3K]

Hello there! This statement is TRUE.

The question is asking you if it is true that 11 - 4 is greater than 4 + 2. To get an answer, Solve both of the problems.

11 - 4 = 7.

4 + 2 = 6.

So, is 7 greater than 6? Yes, it is greater than 6 by 1. This means the answer is true. I hope this was helpful and have a great rest of your day!

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2 years ago