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Artemon [7]
3 years ago
15

Been posting this question for days now (Q5) ....pls I beg of you if you don't know don't reply ​

Mathematics
1 answer:
Firdavs [7]3 years ago
5 0

Answer:

a. Another letter that have corresponding angles is the letter 'E'

b. Another letter that have alternate angles is the letter 'N'

Step-by-step explanation:

The capital letter 'F' can be described as letter can be presented as follows;

Two horizontal parallel lines touching and perpendicular to a common transversal

Therefore, the parallel lines in the letter 'F' and their common transversal form corresponding angles below each parallel line and the common transversal

The two horizontal lines in the capital letter Z and the inclined transversal form alternate angles between the transversal and the parallel lines, in the region between the parallel lines and on opposite sides of the transversal

a. Another letter that have corresponding angles is the letter 'E'

b. Another letter that have alternate angles is the letter 'N'

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Blake is 7 years older than Heather. In 7 years the sum of their ages will be 55. How old is Blake now?
Andreas93 [3]

Answer:

24 years old

Step-by-step explanation:

Let the age of Blake be x and the age of Heather by y then...

x=7+y

7+x+7+y=55

Notice we are adding additional 7s because the question states "in 7 years"

Simplify the second equation...

7+x+7+y=55

14+x+y=55

Subtract 21 from both sides

x+y=41

Solve using substitution (substitute 7+y for x since x = 7+y)

7+y+y=41

Combine like terms

2y+7=41

Subtract 7 from both sides

2y=34

Divide both sides by 2

y=17

x=7+17=24

Blake is 24 years old now

4 0
2 years ago
Please help question is in the picture
lara31 [8.8K]
A=(3.14)(12.5)^2
A=(3.14)(156.25)
A=490.625 ft squared
5 0
3 years ago
Miranda painted the 4 walls of her rectangular room. Her room measures
4vir4ik [10]

Answer: I think it is 1572 sq feet

Step-by-step explanation:

Lxwxh

14x13x9=1638

Window is 4x4.5=18

Door 1 is8x3=24

Door 2 8x3=24

Since the doors and window are not included in what was painted you need to subtract those totals from the room.

So, 1638-18=1620

1620-48(two doors)=1572 sq feet

6 0
3 years ago
Given the set points K+1:(-1,8),(1,0) and (2,5), find the quadratic polynomial interpolate
Sauron [17]

Answer:

The interpolating polynomial is p(x) = 1-4x+3x^2.

Step-by-step explanation:

We want to find a quadratic polynomial p(x) such that p(-1)=8, p(1)=0 and p(2)=5. In order to do this let us write p(x) = a_0+a_1x+a_3x^2.

Now, evaluating the polynomial in the points -1, 1 and 2 we get

\begin{cases} 8 = p(-1) &= a_0-a_1+a_2\\ 0 = p(1) &= a_0+a_1+a_2\\ 5 = p(2) &= a_0+2a_1+4a_2\end{cases}

This relations give us a linear system of equations:

\begin{cases} 8 &= a_0-a_1+a_2\\ 0 &= a_0+a_1+a_2\\ 5&= a_0+2a_1+4a_2\end{cases}

where the a_0, a_1 and a_2 are the unknowns.

The augmented matrix of the system is

\begin{pmatrix}1 & -1 & 1 & 8\\ 1 & 1 & 1 & 0\\ 1 & 2 & 4 & 5\end{pmatrix}

In this matrix it is easy to eliminate the 1's of the first column and get

\begin{pmatrix} 1 & -1 & 1 & 8\\ 0 & 2 & 0 & -8\\ 0 & 3 & 3 & -3\end{pmatrix}

From this matrix we can find the values of each unknown. Notice that the second row gives us 2a_2=-8 that yields a_1=-4.

Then, the third row means 3a_1+3a_2=-3 that gives -12+3a_2=-3. So, a_2=3.

Finally, the first row is a_0-a_1+a_2=8 and substituting is a_0+7=8 that yields a_0=1.

Therefore, the interpolating polynomial is

p(x) = 1-4x+3x^2.

8 0
3 years ago
What + 13 1/2 =121 1/2
krok68 [10]
The answer would be 108
6 0
2 years ago
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