All categories

2 years ago

O || u find the measure of < 3?

Mathematics

1 answer:

Fudgin [204]2 years ago

8 0

Answer:

vertical angles

∠1 and ∠3 are vertical angles. Their measures are equal, so m∠3 = 90 . ∠1 and ∠2 are supplementary.

Step-by-step explanation:

Remember in every triangle, the sum of the angles adds to 180 degrees. So let us call the smallest angle's measure "A". The largest angle is 3A and the third angle is A+10. So A + 3A + (A + 10) = 180.

You might be interested in

the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle

inna [77]

Answer:

$2m$

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

$A = \frac{1}{2}bh$

They give us the area as $6m^2$ , so let's include it in the equation.

$6 = \frac{1}{2}bh$

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that $h = b-4$

So replace $h$ in the equation with $b-4$ .

You will now get:

$6 = \frac{1}{2}b(b-4)$

Now we can work towards solving. Let's get simplifying.

$12 = b(b-4)\\12 = b^2 - 4b\\$

bring everything to one side so we can make a quadratic and factor:

$0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2$

We get that $b=6$ .

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that $h = b - 4$ , so to find h, we just sub in our b value into that.

$h = (6) - 4 = 2$

We find that $h=2$

7 0

1 year ago

3. The backyard of a home is a rectangle 25m by 30m. A garden of uniform width is to be

KiRa [710]

Answer:

Part A

The width of the garden is approximately 3.987 meters

Part B

Please find attached the drawing of the solution

Step-by-step explanation:

Part A

The given parameters are;

The dimensions of the backyard of the home = 25 m by 30 m

The width of the garden to be built in the yard = Uniform width

The shape of the grass left inside = Rectangular

The area of the grass at the center = The area of the garden

Let 'x' represent the width of the garden, we have;

The length of the rectangular grass area at the center, l = 30 - 2·x

The width of the rectangular area of grass at the center, w = 25 - 2·x

The area of the rectangular backyard, A = 30 m × 25 m = 750 m²

The area of the rectangular backyard, A = (The area of the garden) + (The area of the rectangle of grass inside)

The area of the rectangle of grass, GA = (30 - 2·x)·(25 - 2·x) = The area of the garden

The area of the rectangular backyard, A = 750 = (30 - 2·x)·(25 - 2·x) + (30 - 2·x)·(25 - 2·x) = 2 × (30 - 2·x)·(25 - 2·x) = 8·x² - 220·x + 1,500

∴ 750 = 8·x² - 220·x + 1,500

8·x² - 220·x + 1,500 - 750 = 0

8·x² - 220·x + 750 = 0

x = (220 ± √(220² - 4 × 8 × 750))/(2 × 8)

x ≈ 23.513, or x = 3.987

When x = 25.513, the width of the rectangle of grass inside, w = 25 - 2 × 23.513 = -22.026, which is not a natural (physically possible)

Therefore, the possible width of the garden, x ≈ 3.987

Part B

The drawing of the solution created with MS Visio is attached

6 0

2 years ago

Which point is on the graph of the equation y=2x-5?

Svetlanka [38]

Answer:

(2,-1)

Step-by-step explanation:

If you plug each answer into the equation, (2,-1) is the only answer that makes the equation true. Hope this helps!

6 0

3 years ago

PLEASE HELP ANSWER 4 AND 5.

kumpel [21]

4) The ratio of lemons to cups of sugar = 2/3 or 2:3

5) The ratio of cups of sugar to cups of water = 3/14 or 3:14

Hope that helps

8 0

2 years ago

- Maria wants to buy a ring that costs $67.00. She has a coupon for 25% off.

Vilka [71]

Answer:

$16.75

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 67 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 67 is 100%, so we can write it down as 67=100%.

4. We know, that x is 25% of the output value, so we can write it down as x=25%.

5. Now we have two simple equations:

1) 67=100%

2) x=25%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

67/x=100%/25%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 25% of 67

67/x=100/25

(67/x)*x=(100/25)*x - we multiply both sides of the equation by x

67=4*x - we divide both sides of the equation by (4) to get x

67/4=x

16.75=x

x=16.75

now we have:

25% of 67=16.75

8 0

3 years ago

Read 2 more answers