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tino4ka555 [31]
3 years ago
6

Find the measure of <2.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0

Answer:

78°

Step-by-step explanation:

In this problem, we need to find the value of angle 2.

Angle 2 is an Alternate exterior angle. Alternate exterior angles are formed by a transversal intersecting two parallel lines. They are located outside the two parallel lines.

To form an alternate exterior angle, angle 2 must be equal to 78°. Hence, we can say that the value of ∠2 is equal to 78°.

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The price of an item has risen to $276 today. Yesterday it was $115. Find the percentage increase.
Nezavi [6.7K]
Are you kidding me, bro? lol

276-115=131
131 divided by 276 = 0.47

0.47% increase
6 0
3 years ago
The table shows the value of Susie's bank account during a 5-year period. At what rate has her account value been growing?
Finger [1]
A) $16,000 per year
8 0
3 years ago
Read 2 more answers
The sides of a 30 60 90 triangle are 9 and 18.What is the third length of the triangle
Nimfa-mama [501]

Answer:  15.59 or 9√3

Step-by-step explanation:

We can use the Pythagorean Theorem to calculate the third side.

c² = a² + b²   In a 30 60 90 Triangle, the hypotenuse is twice the length of the short leg of the right angle.

c is the hypotenuse. a is the short leg

18² = 9² + b²

324 = 81 + b²  Subtract 81 from both sides.

324 - 81 = b²  becomes b² = 243   Take the square root of both sides

b = 15.5884 . This can  be rounded to 15.59 or 15.6 depending on significant digits or amount of precision required.

The proportions of the sides of the 30 60 90 triangle can also be used:

2² = 1² + b²

4 = 1 + b²

3 = b²

√3 = b

You can always multiply the length of the short leg by √3 to get the length of the side opposite the 60° angle

8 0
3 years ago
A triangle has sides of 6 m 8 m and 11 m is it a right-angled triangle?​
rewona [7]

Answer:

No

Step-by-step explanation:

If we use the Pythagorean theorem, we can find if it is a right triangle. To do that, set up an equation.

6^{2}+8^{2}=c^2

If the triangle is a right triangle, c would equal 11

Solve.

36+64=100

Then find the square root of 100.

The square root of 100 is 10, not 11.

So this is not a right triangle.

I hope this helps!

4 0
3 years ago
A basket full of 10 apples costs 23$, another basket full of 15 apples costs 33$. The prices of the baskets are the same. How mu
MArishka [77]

Answer:

Equations:

y + 10x = 23

y + 15x = 33

cost of basket with 25 apples = $53

Step-by-step explanation:

A basket with 10 apples cost $23 and a basket with 15 apples cost $33. Note that these costs also include the cost of the basket, which is same in both case. Let the cost of empty basket with "y" and cost of each apple be "x"

Cost of basket and 10 apples is $23. We can transform this statement into an equation as:

y + 10x = 23                                     Equation 1

Similarly,

Cost of basket and 15 apples is $33. This gives us another equation:

y + 15x = 33                                     Equation 2

Subtracting Equation 1 from Equation 2 , we get:

y + 15x - (y +10x) = 33 - 23

5x = 10

x = 2

Using the value of x in equation 1, we get:

y + 10(2)= 23

y = 23 - 20

y = 3

This means, cost of basket is $3 and cost of each apple is $2.

Now we can calculate the cost of basket with 25 apples, which will be:

Cost of basket + Cost of 25 apples = Total Cost

3 + 25(2) = 3 + 50 = $53

6 0
4 years ago
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