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frez [133]
3 years ago
11

PLZ HELP ASAP 15 POINTS!!!

Mathematics
2 answers:
Softa [21]3 years ago
6 0

Answer:

A. (AB/BC)=(CE/ED)

Step-by-step explanation:

Property of similar triangles :

If two triangles are similar then the corresponding sides are in same proportion,

Here, \triangle ABC\sim \triangle CED

By the above property,

\frac{AB}{BC}=\frac{CE}{ED}

Hence, the column prove would be,

            Statements                      Reason

1. AC ⊥ CD

Δ ABC is similar to ΔCED                         Given

2. (AB/BC)=(CE/ED)                          Property of similar triangle

3. Slope of AC = -AB/BC                    Definition of slope

Slope of CD = ED/CE

4. Slope of AC  × Slope of CD           Multiplying the slopes

= -AB/BC × ED/CE

5. Slope of AC  × Slope of CD           Substitution property of equality

= -CE/ED × ED/CE

6. Slope of AC  × Slope of CD = -1   Simplifying the right side.

Hence, option 'A' is correct.

icang [17]3 years ago
4 0

Answer:

A.(AB/BC)=(CE/ED)

Step-by-step explanation:

Properties of Similar Triangles  states two things

Corresponding angles are congruent (same measure)

Corresponding sides are all in the same proportion

That means AB/ BC = CE/ED

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A pyramid has a rectangular base of length (3x + 1)cm and width xcm.
sergey [27]

Answer:

The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

Step-by-step explanation:

Given

Rectangle Pyramid

Base Length = 3x + 1

Base Width = x

Height = 12

Volume = 96

Required

Dimension of the base of the pyramid

Given that the volume of the pyramid is ⅓ of the base area * the height.

This is represented mathematical as

Volume = ⅓ * base area * height.

Where

Base area = width * length

Base area = (3x + 1) * x

Base area = 3x² + x.

So,

Volume becomes

Volume = ⅓ * (3x² + x) * 12.

Volume = (3x² + x) * 4

Substitute 96 for volume

96 = (3x² + x) * 4

Divide both sides by 4

96/4 = (3x² + x) * 4/4

24 = 3x² + x

Subtract 24 fr both sides

24 - 24 = 3x² + x - 24

0 = 3x² + x - 24

3x² + x - 24 = 0

Expand

3x² + 9x - 8x - 24 = 0

Factorize

3x(x + 3) - 8(x + 3) = 0

(3x - 8)(x + 3) = 0

3x - 8 = 0 or x + 3 = 0

3x = 8 or x = -3

x = 8/3 or x = -3

Recall that

Length = 3x + 1

Width = x

For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.

Substitute x = 8/3

Length = 3x + 1

Length = 3(8/3) + 1

Length = 8 + 1

Length = 9

Width = x

Width = 8/3

Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

7 0
3 years ago
ALGEBRA ONE!!!!!1 34 POINTS I WILLLLL GIVE TOOOO YOUUUUU!!
Marina86 [1]

Answer:

±sqrt(T*L/m)=v

Step-by-step explanation:

T=mv^2/L

We want to solve the equation for v

Multiply each side by L

T*L=mv^2/L *L

T*L=mv^2

Divide each side by m

TL/m=mv^2/m

T*L/m=v^2

Take the square root of each side

±sqrt(T*L/m)=sqrt(v^2)

±sqrt(T*L/m)=v

7 0
2 years ago
Read 2 more answers
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Lelu [443]
It is a mixed number because mixed mumbers have higher numerator than the denominator
3 0
3 years ago
Read 2 more answers
Pls help I’ll give brainliest
DanielleElmas [232]

Answer:

B)  7 gallons

Step-by-step explanation:

car begins with 12 gallons and, at a rate of 29 mpg, would allow the car to travel for 348 miles

car only traveled 140 miles so 208 miles more can be driven

208÷29 is approx 7 gallons

7 0
2 years ago
Which number is not in scientific notation? Question 15 options: 1) 0.2 ⋅ 103 2) 3 ⋅ 1028 3) 1.03 ⋅ 10−2 4) 1.5 ⋅ 10−6
SashulF [63]
I believe it’s number 2.
3 0
3 years ago
Read 2 more answers
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