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4 years ago

Use the diagram below to classsify each pair of angles.

Mathematics

1 answer:

ExtremeBDS [4]4 years ago

4 0

Answer:

a. congruent

b. complementary

c. supplementary

d. congruent

Hope this helps.

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Answer:

m:is the slope b:y intercept equation:y=mx+6

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3 years ago

What did the sea monster say after eating 27 ships carrying potatoes?

Alekssandra [29.7K]

"I should stop setting up for bad jokes..."

or "Fishin' ships are pretty good..."

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4 years ago

Sierra has plotted two vertices of a rectangle at (3,2) and (8,2). What is the length of the sides of the rectangle

Eddi Din [679]

Answer:

5units

Step-by-step explanation:

Given the two vertices of a rectangle at (3,2) and (8,2). We are to calculate the distance between the two points.

Using the formula

D = √(x2-x1)²+(y2-y1)²

D = √(2-2)²+(8-3)²

D = √0+5²

D = √25

D = 5

Hence the length of the side of the rectangle is 5units

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3 years ago

A rectangular patio has a length of 12 1/2 feet and an area of 108 1/8 square feet what is the width of the patio

Ivenika [448]

Length of the rectangular patio = $12\frac{1}{2}=\frac{25}{2}$

Let the width of the patio be = x

Area of the patio is given as = $108\frac{1}{8}=\frac{865}{8}$

As the area of a rectangle is = length*width, so

$\frac{865}{8}=(\frac{25}{2})x$

$\frac{865}{8}*\frac{2}{25}=x$

x= $\frac{1730}{200}$ = $\frac{173}{20}$

x = $8\frac{13}{20}$

Hence, width of the patio is $8\frac{13}{20}$ feet.

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4 years ago

What is the fifth term in the binomial expansion of (x + 5)^8?O 175,000x³O 43,750x4O 3,125x5O 7,000x

enyata [817]

Solution:

Given the expression below

$(x+5)^8$

Applying the binomial theorem formula

$\begin{gathered} \left(a+b\right)^n=\sum_{k=0}^n{\binom{n}{k}}a^{n-k}b^k \\ Where \\ a=x \\ b=5 \\ n=8 \\ k=4\text{ i.e. fifth term} \end{gathered}$

For the fifth term, i.e

$\sum_{k=4}^8{\binom{8}{4}}x^{8-4}5^4=\frac{8!}{4!(8-4)!}\cdot x^4\cdot(625)=(70)(625)(x^4)=43750x^4$

Hence, the fifth terms is

$43750x^4$

3 0

1 year ago