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Ostrovityanka [42]
3 years ago
15

HELP PLS ∠2 and ∠4 are ? angles. adjacent, supplementary, complementary, vertical

Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer:

They are vertical angles

Step-by-step explanation:

they are across from each other/opposites of each other

<em>vertical angles:</em> each of the pairs of opposite angles made by two intersecting lines.

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Segment BD is an altitude of triangle ABC. Find the area of the triangle.
Sever21 [200]

Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

First, we find BD, where B(-1,4) and D(2,4).

BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

A=\frac{1}{2}\times {\text{base}}\times {\text{height}}

A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

6 0
3 years ago
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Andrew [12]
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5 0
3 years ago
Find the coordinates of point z such that the ratio of fz to zd is 5;3
Vilka [71]

The point such that the coordinate is 5;3 is (14, 0)

<h3>Midpoint of coordinates using ratio</h3>

The formula for finding the midpoint of a line in the ratio m:n is expressed as:

M(x, y) = {(mx₁+nx₂)/2, (my₁+ny₂)/2,}

Given the coordinate of G and D on the line as G(5, 0) and D(1,0)

Since there is no y-axis, hence;

x = 5(5)+1(3)/2

x = 25+3/2

x = 28/2

x =14

Hence the point such that the ratio is 5;3 is (14, 0)

Learn more on midpoint of a line here: brainly.com/question/5566419

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8 0
1 year ago
100 POINTS PLUS BRAINLIEST!!!! QUESTION ATTACHED
Oduvanchick [21]

Answer:

D

Step-by-step explanation:

You have to have exactly the same thing underneath the radical. So for example in choice A you have sqrt(2) and sqrt(3) underneath the radical. They are not the same. Choice A is not the answer.

Choice B has the same problem sqrt(5) is not the same thing as sqrt(3) and choice B is not the answer.

Choice C has sqrt(5) and sqrt(6) as your choice. They are not the same. C is not correct.

D is the answer. Both choices have sqrt(7) as the radicals. They are both 7. They are the same.


6 0
3 years ago
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Natalia jogged 1.367km in 6 min. About how far did she jog each minute? Give your answer in as many different units as you can
tangare [24]
Here is the simple answer of how far she gets in 1km, about 0.227 of a kilometer in one minute. If you were to convert kilometers into meters then it would be 227.8 meters in a minute. 
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