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3 years ago

12. Using the diagram, what can be said about angles 7 and 12?

Mathematics

2 answers:

Nesterboy [21]3 years ago

7 0

They are supplementary because angle 12 is congruent with angle 10 which is supplementary with angle 7 ( that means the measure of angle7+ the measure of angle 12 is 180 grades)
12 and 10 are congruent due to the fact that A and B are two parallel lines and D is a sequent (i don't know how to spell this word). i guess you get it

ddd [48]3 years ago

4 0

Answer: they are supplementary

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

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2 years ago

Angles that share a vertex, but not a side are called

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Adjacent angles-
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3 years ago

Solve the inequality 5u≤8u−21 and write the solution in interval notation

PIT_PIT [208]

Answer:

Step-by-step explanation:

$5u\leq 8u-21$

Subtract 8u from both sides

$-3u\leq -21$

Divide by -3 on both sides

$u\geq 7$

Interval notation: [greater/less than or equal to], (greater or equal to)

[7,∞)

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3 years ago

What is the equation of the parabola with vertex (6,7) and focus (7,7)?

Delicious77 [7]

Answer:

Step-by-step explanation:

If you plot these points on a coordinate plane, you see that they are on the same horizontal line, y = 7, with the focus 1 unit to the right of the vertex. This means that the parabola is a sideways opening parabola, to the right, to be more specific. That means that it has the basic vertex form

$4p(x-h)=(y-k)^2$

where p is the distance in units from the vertex to the focus, h is the first coordinate in the vertex, and k is the second coordinate in the vertex. For us, p = 1, h = 6, and k = 7. Now we will just fill the vertex form of the equation in with our values:

$4(x-6)=(y-7)^2$

We will solve this for x now by dividing each side by 4 and adding over the 6:

$x=\frac{1}{4}(y-7)^2+6$

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3 years ago