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Eva8 [605]
3 years ago
5

Explain why vertical angles cannot be adjacent angles?

Mathematics
1 answer:
iris [78.8K]3 years ago
6 0

Adjaadjacent angles are angles that are the vertex but vertical angles are lines that cross each other.

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The length of a rectangle is 4 ya more than twice the width x. The area is 510 yd^2. Find the dimensions of the given shape
Furkat [3]

Answer:

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

Step-by-step explanation:

Given:

The shape is of rectangle,

Width of rectangle = x

Area of rectangle = 510 yd²

According to the given condition

Length of rectangle = 4 + 2x

To Find:

length =?

Width = ?

Solution:

We know that,

\textrm{Area of rectangle} = Length\times Width

On substituting the given values we get

510 = (4 + 2x)\times x\\510 = 4x+2x^{2}\ \textrm{using distributive property}\\\textrm{dividing throughout by two}\\255=2x+x^{2} \\\\x^{2} +2x -255 = 0\\

Which is a quadratic equation so we will apply splitting the middle term that is factorization we get

∴ x^{2}+ 17x -15x -255=0\\x(x+17)-15(x+17)=0\\(x-15)(x+17)=0\\\therefore x-15 =0\ or\ x+17=0\\\\\textrm{x cannot be negative i.e -17}\\\therefore x=15

∴ Width  x = 15 yard

∴ Length = 4 + 2x = 4 +2 × 15 = 34 yard

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

5 0
3 years ago
Suppose your friends have the following ice cream flavor preferences: 70% of your friends like Chocolate (C). The remaining do n
Marianna [84]

Answer:

  B.  0.18

Step-by-step explanation:

I find the question oddly worded. Apparently, 25% of 70% of your friends like Chocolate and also like Sprinkles. You need to find the product of these numbers to determine the proportion of friends who like Chocolate that also like Sprinkles. That product is ...

  0.25·0.70 = 0.175 ≈ 0.18 . . . . matches choice B

5 0
3 years ago
James gathered 12kg of nuts more than Henry gathered. What
docker41 [41]

Answer:

<u>6 kg</u>

Step-by-step explanation:

J = mass of nuts gathered by James

H = mass of nuts gathered by Harry

J = 12 + H

J = 3H

     3H = 12 + H

3H - H = 12 + H - H

     2H = 12

       H = 6 kg

J = 18 kg

7 0
3 years ago
4. A triangle has angle measures of 72º and 3°. What is the measure of the third angle?
8090 [49]

Answer:

105

the whole triangle adds up to 180

72+3=75

180-75=105

7 0
3 years ago
Find f(2) and f(a+h) when f(x)=3x^2+2x+4
wolverine [178]
F(2) = 3(2)^2 + 2(2) + 4

= 3(4) + 4 + 4

= 12 + 8

f(2) = 20

f(a+h) = 3(a+h)^2 + 2(a+h) + 4

= 3(a^2 + 2ah + h^2) + 2a + 2h + 4

f(a+h) = 3a^2 + 6ah + 3h^2 + 2a + 2h + 4
4 0
3 years ago
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