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posledela
3 years ago
10

HELP PLZ WILL GIVE 40 POINTS

Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0

Answer:

various angles can be formed when two parallel lines are cut by a transverse line. They are :

i. Alternate Angles

ii. Corresponding angles

iii. Co interior angles

Step-by-step explanation:

i. Alternate angles are equal. In the given figure x and y are alternate angles where x=y. Similarly, w and v are also alternate angles and they are also equal in magnitude.

ii. Corresponding angles are also equal. In the given figure, a and y are corresponding angles where a=y. Similarly, b and v, w and c, x and d are corresponding angles and they are equal in value.

iii. The sum of co-interior angles is 180 degrees. In the given figure, v and x are co-interior angles where x+v= 180 degrees. Similarly, w and y are also co-interior angles and their sum is also 180 degrees.

These are the angles formed when two parallel lines are cut by a transversal line. The figure is in the attachment. You can find it there.

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Please help I don’t know the answer :(
gogolik [260]

Answer:

When x=8, y=-6. When x=10, y=0

Step-by-step explanation:

y=3x-30\\x^2+y^2=100

You can plug the given y value into the second equation to get:

x^2+(3x-30)^2=100\\x^2+9x^2-180x+900=100\\10x^2-180x+800=0\\10(x^2-18x+80)=0\\10(x-8)(x+10)=0\\x= 8, 10\\y= -6, 0

Hope this helps!

6 0
3 years ago
Read 2 more answers
Please help i beg i never get these right
Anuta_ua [19.1K]

Answer:

\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}

Step-by-step explanation:

Given

\sin(105^o)

Required

Solve

Using sine rule, we have:

\sin(A + B) = \sin(A)\cos(B) + \sin(B)\cos(A)

This gives:

\sin(105^o) = \sin(60 + 45)

So, we have:

\sin(60 + 45) = \sin(60)\cos(45) + \sin(45)\cos(60)

In radical forms, we have:

\sin(60 + 45) = \frac{\sqrt 3}{2} * \frac{\sqrt 2}{2} + \frac{\sqrt 2}{2} * \frac{1}{2}

\sin(60 + 45) = \frac{\sqrt 6}{4} + \frac{\sqrt 2}{4}

Take LCM

\sin(60 + 45) = \frac{\sqrt 6 + \sqrt 2}{4}

Rewrite as:

\sin(60 + 45) = \frac{\sqrt 2 + \sqrt 6}{4}

Hence:

\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}

3 0
2 years ago
If sales tax is 7.75%, what is the total cost of an 11$ purchase including tax?
Akimi4 [234]

Answer:

$11.8525

Step-by-step explanation:

To find the total price of purchase including sales tax, we need to add sales tax to our total. This can be done as follows: Purchase price + percentage of purchase price as according to sales tax. In the case of your problem, this takes the form of $11 + 0.0775(11). This expression is equivalent to 11.8525.

7 0
3 years ago
Read 2 more answers
A small resort is situated on an island that lies exactly 3 miles from P, the nearest point to the island along a perfectly stra
Artemon [7]

Answer:

The distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost is 0 m, or the pipe should be routed to the point P

Step-by-step explanation:

We note that, cost to lay pipe in water = 2.3 × cost to lay pipe on land

Distance of the small resort on the island from point p on the shoreline = 3 miles

Location of the closest source of fresh water is 10 miles along the shoreline from p

∴ The small resort, the point p and the closest source of the fresh water on the shoreline together form a right triangle with sides

Height = 3 miles

Base = 10 miles and

Hypotenuse = \sqrt{3^2 + 10 ^2} = \sqrt{109} =  10.44 \, m

To find the cost of laying the pipeline by the various route, we multiply the water routes by 2.3 and the land routes by 1 and we get

Costs:

Height =  Water route = 2.3 × 3 miles = 6.9

Base = Land route = 1 × 10 miles = 10

Hypotenuse = Water route = 2.3 × 10.44 miles = 24.012

Therefore, the two routes are either

10 miles to point p and 3 miles across the water to the resort with a cost = 10 + 6.9 = 16.9 or

Directly to the small resort through 10.44 miles across the water with cost = 24.012

Therefore, to minimize cost, the pipe should come from the resort to P from there to the fresh water source.

That is the distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost = 0 m.

7 0
3 years ago
What is the vertex of the graph of the function below y=x^2+10x+24
swat32
The vertex is (-5,-1)
7 0
3 years ago
Read 2 more answers
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