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4 years ago

(20 POINTS!!!) which of the following terms describe the relationship between <CFD and <DFE? Chose all that apply. (2)

Mathematics

1 answer:

Sergio [31]4 years ago

6 0

Answer:

A: adjacent angles: The angle ∠CFD & ∠DFE are directly next to each other, making them adjacent angles.

B: Complementary angles: Note that m∠BFC measures at 90°. m∠BFE is a straight line, with 180°. This means that ∠BFE - ∠BFC = ∠DFE.

180 - 90 = 90 ∴ m∠DFE = 90°

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At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total

kolbaska11 [484]

Answer:

A bag of chips costs $1

A pickle costs $1.25

Step-by-step explanation:

P + 2c = 3.25 Start with these two equations

3p + 4c = 7.25

p = -2c + 3.25 Solve for one variable

3(-2c +3.25) + 4c = 7.25 Substitute

-6c + 9.75 + 4c = 7.25

-2c = -2

c = 1

p + 2(1) = 3.25 Substitute

p + 2 = 3.25

p = 1.25

4 0

3 years ago

Changle. Show all work. Round each length to the nearest tenth and each angle to the

Sedaia [141]

Answer:

Part 1) $BC=12.2\ units$

Part 2) $m\angle A=55^o$

Part 3) $m\angle C=35^o$

Step-by-step explanation:

Part 1) Find AC

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=7^2+10^2$

$AC^2=149\\AC=12.2\ units$

Part 2) Find the measure of angle A

we know that

In the right triangle ABC

$tan(A)=\frac{BC}{AB}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(A)=\frac{10}{7}$

using a calculator

$m\angle A=tan^{-1}(\frac{10}{7})=55^o$

Part 3) Find the measure of angle C

we know that

In the right triangle ABC

$m\angle A+m\angle C=90^o$ ----> by complementary angles

substitute the given value

$55^o+m\angle C=90^o$

$m\angle C=90^o-55^o=35^o$

8 0

3 years ago

A sidewalk has an area that can be represented bt the expression (8x+24) feet. List 3 possible lenghts and widths of the sidewal

Eddi Din [679]

Answer:

Length = 8 feet and Width = (x+3) feet

Length = 4 feet and Width = (2x+6) feet

Length = 2 feet and Width = (4x+12) feet

Step-by-step explanation:

We are given that,

Area of the rectangular sidewalk = (8x+24) feet²

Since, area of a rectangle = Length × Width

It is required to find three possible lengths and widths.

As, we can factor the given area in the following ways,

1. Area = (8x+24) = 8 × (x+3)

2. Area = (8x+24) = 4 × (2x+6)

3. Area = (8x+24) = 2 × (4x+12)

Thus, the three possible lengths and widths are given by,

1. Length = 8 feet and Width = (x+3) feet.

2. Length = 4 feet and Width = (2x+6) feet.

3. Length = 2 feet and Width = (4x+12) feet.

3 0

3 years ago

3 over 8 what does that =

inn [45]

Answer:

.375

Step-by-step explanation:

divide 3 by 8

7 0

3 years ago

Read 2 more answers

Trey is putting up a fence around a 750 foot by 540 foot lot. How many feet of fence dose he need?

anygoal [31]

Given:

The length of the lot l= 750ft

The width of the plot w= 540 ft

Required:

Find the required fence.

Explanation:

The perimeter of the rectangle is given by the formula.

$P=2(length+width)$

Thus the required fence for the lot

$\begin{gathered} =2(750+540) \\ =2(1290) \\ =2580\text{ ft} \end{gathered}$

Final answer:

The required fence is 2580 ft.

6 0

1 year ago