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Alex
3 years ago
9

Giving brainliest to best answer ;)

Mathematics
2 answers:
zaharov [31]3 years ago
8 0

Answer:

<6 = 50 percent

Step-by-step explanation:

<2 = <5 = <7 = <9 = 130 percent

<1 + <2 = <6 + <7 = 180 percent

180 percent - <7

180 percent - 130 percent = 50 percent

<6 = 50 percent

kondor19780726 [428]3 years ago
4 0
<h2>○=> <u>Correct option</u> :</h2><h2>\color{plum}\tt\bold{(C) \:  50}</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>

Given :

Measure of angle 2 = 130°

Since angle 2 and angle 7 are corresponding angles their values will be equal.

Thus, measure of angle 7 = 130°

Angle 6 and angle 7 are a linear pair so, their measure will be equal to 180°.

Which means :

=\tt 130 + ∠6 = 180

= \tt∠6 = 180 - 130

\hookrightarrow  \tt\color{plum}∠6 = 50

Thus, the measure of angle 6 = 50°

Therefore, the correct option is (C) 50

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Please help! This is due in 20 minutes.
Arturiano [62]

Answer: the answer is C 190

Step-by-step explanation:

i promise this is the answer

3 0
3 years ago
Verify that the points are the vertices of a parallelogram and find its area. (2,-1,1), (5, 1,4), (0,1,1), (3,3,4)
Gelneren [198K]

Answer:

Area = 13.15 square units

Step-by-step explanation:

Let the given vertices be represented as follows:

A(2, -1, 1) = 2i - j + k

B(5, 1, 4) = 5i + j + 4k

C(0, 1, 1) = 0i + j + k

D(3, 3, 4) = 3i + 3j + 4k

(i) Let's calculate the vectors of all the sides:

\\AB = B - A =  (5i + j + 4k) - (2i - j + k)

AB = 5i + j + 4k - 2i + j - k                 [Collect like terms]

AB = 3i + 2j + 3k

BC = C - B =  (0i + j + k) - (5i + j + 4k)

BC = 0i + j + k - 5i - j - 4k                 [Collect like terms]

BC = -5i + 0j - 3k

CD = D - C =  (3i + 3j + 4k) - (0i + j + k)

CD = 3i + 3j + 4k - 0i - j - k                [Collect like terms]

CD = 3i + 2j + 3k

DA = A - D =  (2i - j + k) - (3i + 3j + 4k)

DA = 2i - j + k - 3i - 3j - 4k                [Collect like terms]

DA = -i - 4j - 3k

AC = C - A =  (0i + j + k) - (2i - j + k)

AC = 0i + j + k - 2i + j - k                [Collect like terms]

AC = -2i + 2j

BD = D - B = (3i + 3j + 4k) - (5i + j + 4k)

BD = 3i + 3j + 4k - 5i - j - 4k                [Collect like terms]

BD = -2i + 2j

(ii) From the results in (i) above, we can deduce that;

AB = CD This implies that AB || CD  [AB is parallel to CD]

AC = BD This implies that AC || BD  [AC is parallel to BD]

(iii) Therefore, ABDC is a parallelogram since opposite sides (AB and CD) are parallel. Hence, the points are vertices of a parallelogram

<u>Now let's calculate the area</u>

To find the area of the parallelogram, we find the magnitude of the cross product of any two adjacent sides.

In this case, we'll choose AB and AC

Area = |AB X AC|

Where;

AB X AC = \left[\begin{array}{ccc}i&j&k\\3&2&3\\-2&2&0\end{array}\right]

<u></u>

AB X AC = i(0 - 6) - j(0 + 6) + k(6 + 4)

AB X AC = - 6i - 6j + 10k

|AB X AC| = \sqrt{(-6)^2 + (-6)^2 + (10)^2}

|AB X AC| = \sqrt{172}

|AB X AC| = 13.15

Area = 13.15 square units.

<u></u>

<u></u>

<u>PS: </u> ACBD is also a parallelogram. The diagram has also been attached to this response.

6 0
3 years ago
13. Find the vertex of f(x)=x2 -6x +8 .
Mekhanik [1.2K]

9514 1404 393

Answer:

  a  (3,-1)

Step-by-step explanation:

The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...

  f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1

  f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form

Comparing this to the generic vertex form ...

  f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)

we see that h=3 and k=-1.

The vertex is (h, k) = (3, -1).

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sp2606 [1]

Answer:

Rate: 2:5

Unit Rate: 1:2.5

Step-by-step explanation:

Unit Rate is the rate in which x is x to 1. So, each inch of snowfall takes 2.5 hours.

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3 years ago
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slavikrds [6]
This question doesn’t make sense, double check you wrote it right
3 0
3 years ago
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