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2 years ago

Which of the following is a pair of corresponding angles?

Mathematics

1 answer:

mart [117]2 years ago

8 0

Answer:

Step-by-step explanation:

1 and 5

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Factorise fully p^3 + p^2

nikklg [1K]

Answer:

$\huge\boxed{p^3+p^2=p^2(p+1)}$

Step-by-step explanation:

$p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)$

Used:

$a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac$

3 0

2 years ago

Pls help I’ll brainlest and add extra points

Phoenix [80]

Answer:

26. D) $252

27. A) -6.7 + 6.8

Step-by-step explanation:

26. 400 * 0.3 = 120

400 - 120 = 280

280 * 0.1 = 28 (because the 10% is additional, cannot add it to the original 30%)

280 - 28 = 252

27. -4.5 + 4.4 = -0.1

- 6.7 + 6.8 = 0.1

-0.1 + 0.1 = 0

6 0

2 years ago

Two linear equations are shown. A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFr

Lorico [155]

Answer:

$(7,\frac{13}{3})$

Step-by-step explanation:

we have

The equation of the first line

$y=\frac{1}{3}x+2$ ------> equation A

The equation of the second line

$y=\frac{4}{3}x-5$ ------> equation B

Solve the system of equations by elimination

Multiply equation A by -4 both sides

$(-4)y=(-4)(\frac{1}{3}x+2)$

$-4y=-\frac{4}{3}x-8$ --------> equation C

Adds equation B and equation C

$y=\frac{4}{3}x-5\\-4y=-\frac{4}{3}x-8\\--------\\y-4y=-5-8\\-3y=-13\\y=\frac{13}{3}$

Find the value of x

substitute the value of y

$\frac{13}{3}=\frac{1}{3}x+2$

$\frac{1}{3}x=\frac{13}{3}-2$

Multiply by 3 both sides

$x=13-6$

$x=7$

therefore

The solution to the system of equations is the point $(7,\frac{13}{3})$

5 0

2 years ago

Read 2 more answers

What is the perimeter of rectangle with vertices located at (- 3, - 1), (5, - 1), (5, 9) and (- 3, 9) on the coordinate ?

xxMikexx [17]

Answer:

32 units^2

Step-by-step explanation:

Finding the width and the length:

One side = √[(-1 - (-1)^2 + (5 - (-3))^2]

= √(0 + 64)

= 8.

The adjacent side = √(9-9)^2 + (-3-5)^2

= 8.

Perimeter - 4 *8 = 32 units^2.

3 0

2 years ago

community gym charges a $50 membership fee and a $60 monthly fee. Workout gym charges a $225 fee and a $5 monthly fee. After how

DIA [1.3K]

Answer:

3.1818... months

Step-by-step explanation:

x = months

50 + 60x = 225 + 5x

55x = 175

x = 3.1818...

7 0

2 years ago