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3 years ago

Which pair of angles must be supplementary?

Mathematics

2 answers:

Alex_Xolod [135]3 years ago

6 0

∠3 and ∠4 are angles that must be supplementary.

Elina [12.6K]3 years ago

4 0

If something is supplementary, that means that together they must equal 180.
A line=180

<3 and <1 are supplementary because they are linear pairs, meaning that together they must equal 180

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Write the equation of the line that passes through the points (4,1) and (-6,9). Put your answer in fully reduced point-slope for

erastovalidia [21]

Answer:

<u>Find the slope:</u>

$m = \frac{y2-y1}{x2-x1} = \frac{9 - 1}{-6 - 4} = -\frac{8}{10} = -\frac{4}{5}$

<u>Use point-slope form and one of the points:</u>

y - y₁ = m(x - x₁)
$y - 1 = -\frac{4}{5}(x - 4)$

4 0

2 years ago

Read 2 more answers

A Girl Scout camp served half of their granola with breakfast. After dinner, they put the remaining 6{,}250 \text{ g}6,250 g6, c

Iteru [2.4K]

Answer:

12.5 kilograms

Step-by-step explanation:

Given:

Half of the granola served with breakfast.

Let the amount of Granola present initially = $x$ kg

Half of it ( $\frac{x}{2}$ ) served with breakfast, so remaining granola :

$x-\dfrac{x}{2} = \dfrac{x}{2}$

After dinner, the remaining granola 6,250 gm granola was served with yogurt dessert.

First of all, let us convert it to kilogram because the answer is required in Kilograms.

We know that:

1000 gms = 1 kilograms

1 gms = 0.001 kilograms

6250 gms = 6250 $\times$ 0.001 = 6.250 kilograms

Now, as per given question statement:

$\dfrac{x}{2} = 6.250\ kg\\\Rightarrow x = 2 \times 6.250\\\Rightarrow \bold{x = 12.5\ kg}$

So, the answer is:

Girl scout camp started with 12.5 Kilograms of granola.

5 0

3 years ago

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule r

crimeas [40]

Option C: $(x, y) \rightarrow(x-3, y-4) ; (5,-1)$ is the coordinates of C after translation.

Explanation:

The triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3).

Also, given that the triangle is translated 4 units down and 3 units left.

We need to determine the coordinates of the vertex C after translation.

The triangle is shifted 4 units down means subtracting 4 units from the y - coordinate of the graph.

Thus, it can be written as $y-4$

Also, the triangle is shifted 3 units left means subtracting 3 units from the x - coordinate of the graph.

Thus, it can be written as $x-3$

Thus, the translation is given by

$(x, y) \rightarrow(x-3, y-4)$

The vertices of C after translation can be determined by

$(8, 3) \rightarrow(8-3, 3-4)\implies (5,-1)$

Thus, $(x, y) \rightarrow(x-3, y-4) ; (5,-1)$ is the coordinates of C after translation.

Hence, Option C is the correct answer.

3 0

2 years ago

Read 2 more answers

explain how the position of the decimal point changes in a quotient as you divide by increasing powers of ten

olga55 [171]

<span>So we need to see how does the decimal point change it's place in the quotient when we divide any number by increasing powers of 10. Lets start with number 1. The decimal point is: 1.0 and when we divide by 10^1=10 we get 1/10=0.1. The decimal point has moved one place to the left. Now lets divide 1 by 10^2 and we get 1/100=0.01. Again, the decimal point has moved one more place to the left. Now: 1/10^3 = 1/1000 = 0.001. Next would be 0.0001, next one would be 0.00001 and so on. </span>

3 0

3 years ago

Find the distance from point C to point D.

sineoko [7]

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The distance from point C to point D is 258.8 meters.

<h3>What is Tangent (Tanθ)?</h3>

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

$\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}$

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The distance from point C to D is equal to the distance from point A to B. Therefore, the height of the building can be written as,

Tan(25°) = AB / BC

Tan(25°) × 555 m = AB

AB = 258.8 meters

Hence, the distance from point C to point D is 258.8 meters.

Learn more about Tangent (Tanθ):

brainly.com/question/10623976

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3 0

2 years ago