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If my final answer to a question is 207 cubic feet (or 207 feet cubed), what am I measuring?
Height
Length
Area
Volume

Answer:

[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]

Step-by-step explanation:

Given:

➳ AC || RP

➳ AC = 18 units

➳ AR = 14 units

➳ RB = 7 units

➳ CP = 10 units

To find:

perimeter of triangle ABC =?

Solution:

in ∆ABC and ∆RBP

since we know AC || RP,

then ∠ACP = ∠RPB

and ∠CAB = ∠PRB (Property of parallel lines)

and ∠B is a common angle in both traingles,

hence ∆ABC ~ ∆RBP from AAA property!

now,

using the properties of similar triangle,

[tex] \frac{AR }{RB} = \frac{CP}{PB} \\ \\ \frac{14}{7} = \frac{10}{PB} \\ \\ X = \frac{10}{2} \\ \\ \fbox{PB = 5} \\ \\ \\ [/tex]

To find perimeter of ∆ABC, add all the components.

Perimeter of ∆ABC = AR + RB + BP +PC + CA

Perimeter of ∆ABC= 14 + 7 +5 +10 + 18 units

[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

In the given figure, PR is parallel to CA, therefore two angles of Triangle ABC is equal to two corresponding angles of Triangle RBP.

that is

[tex]\qquad \sf  \dashrightarrow \:\angle BCA = \angle BPR[/tex]

[tex]\qquad \sf  \dashrightarrow \:\angle BAC= \angle BRP [/tex]

[ They form pairs of corresponding angles ]

So, we can infer that :

[tex]\qquad \sf  \dashrightarrow \:\triangle BAC \sim \triangle BRP [/tex]

The Triangles are similar, by AA criteria ~

let's assume measure of BP = x

Now, let's use its result :

[tex] \qquad \sf  \dashrightarrow \:\dfrac{BA}{BR}= \dfrac{BC}{BP}[/tex]

[tex] \qquad \sf  \dashrightarrow \:\dfrac{14 + 7}{7}= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:\dfrac{21}{7}= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3x={x + 10 }{}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3x - {x = 10 }{}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 5 \: \: units[/tex]

So, the required Sides of Triangle ABC are :

Therefore, Perimeter = AB + BC + AC :

[tex]\qquad \sf  \dashrightarrow \:21 + 18 + 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:54 \: \: units[/tex]

Answer:

15 days

Step-by-step explanation:

120÷8=15

Are you sure it's high school math?

Answer:

the answer is B.

Step-by-step explanation:

Answer:

a) Class D - lowest variability/range

b) Class C - highest average/mean

Hope this helps!

Check the picture below.

Answer:

25,645

________________________________________________________

First, find 4,695 × 10

[tex]4,695 * 10 = 46,950[/tex]

Next, do 2,132 × 10

[tex]2,132 * 10 = 21,320[/tex]

Now, subtract by 15.

[tex]21,320 - 15 = 21,305[/tex]

Lastly, subtract by the product you found earlier.

[tex]46,950 - 21,305 = 25,645[/tex]

________________________________________________________

Ask in comments box.

[tex]\bold{Heya!}[/tex]

Your answer to this is :

Because the other one is congruent together.

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

Answer:

I believe your answer is C. Stretching.

Step-by-step explanation:

When you rotate an object your keeping its congruence the same or keeping the shape the same size, while rotating it around a point, same goes for Translating, with translating, your just moving an image from its starting point, also having it keep the same congruence, but with stretching, you are distorting the shape making it bigger/smaller than the original shape so it looses its congruence making it no longer congruent.

Answer:

a) c = 11.2
b) c = 2

Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]

c = line across from the right angle

Answer:

Volume of a sphere is 4/3πr^3

Determine r for the radius and multiply by 2 for diameter

Answer:

3

Step-by-step explanation:

f(x) = 2x-5      put in 4 for x

f(4) = 2(4) - 5   = 3

Answer:

350 sum

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

If you deduct 5 from 8, you get the answer to 5 less than 8.

"5 less than 8" means we subtract 5 from 8:-

8-5

That's the expression :)

Simplify the expression:-

3

So if we have less than a number, we subtract that number.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

  2.37×10^-11 milliliters

Step-by-step explanation:

The exponential model for decay is ...

  y = a·b^x

where 'a' is the initial value, 'b' is the decay factor, and x is the number of intervals over which the decay is taking place.

__

Here, you're given an initial value of a=500 mL.

The decay factor is 1 more than the decay rate, so is ...

  b = 1 -12% = 0.88

We are asked for the remaining amount after 240 intervals (breaths), so that will be ...

  y = 500·0.88^x

  y = 500·0.88^240 ≈ 2.37×10^-11 . . . . milliliters

__

Additional comment

That's about 640 million molecules of air--not very much. After 400 breaths, there is about 1 molecule of the original air remaining.

The cones volume is 207.24cm but the weird thing is when you try to convert the cubes. I got 69.08 cubes but I don't know if that is correct. Have a nice day!

Answer: rational number

Step-by-step explanation: -2.33333 ...

Answer:

Classifications 1 & 2

Step-by-step explanation:

Real number: because It is located on the number line, belongs to negative numbers.

Rational number: because it is a fraction (quotient)

-7/3 it is not a integer number or whole number

Hope this helps

Answer:

R is reflexive and transitive but not symmetric.

Step-by-step explanation:

R = {(a, b); a ≤ b}

Clearly (a, a) ∈ R as a = a.

R is reflexive.

Now,

(2, 4) ∈ R (as 2 < 4)

But, (4, 2) ∉ R as 4 is greater than 2.

R is not symmetric.

Now, let (a, b), (b, c) ∈ R.

Then,

a ≤ b and b ≤ c

→ a ≤ c

→ (a, c) ∈ R

R is transitive.

Thus, R is reflexive and transitive but not symmetric.

Step-by-step explanation:

as per the rules of intersecting lines, the angles between the lines must be the same on both sides of the lines. the just "mirror" (so, left becomes right, and right becomes left).

and since the basic grid is created with perpendicular lines (standing at 90° at each other), we are dealing in the top right and bottom left quarters with 2 angles that together add up to 90°.

these are called complementary angles.

so, in the top right quarter we have a 52° angle, and the other one must be

90 - 52 = 38°

as mentioned, the angles in the bottom left quarter must be the same but are mirrored, so,

y = 38°

The measure of angle ∠y = 38°

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the first line be A

Let the second line be B

Now , the lines A and B intersect at the point O perpendicular to each other

And , The angles formed are = 90°

Let the measure of m∠A = 52°

Now , the measure of m∠y = 90° - 52°

The measure of angle m∠y = 38°

Hence , the measure of angle m∠y = 38°

To learn more about angles formed by intersecting lines click :

https://brainly.com/question/16315358

#SPJ7

Answer:

first question = 57 degrees

second question = 27 degrees

Step-by-step explanation:

use trigonometry and SOH CAH TOA

then rearrange to find the value of x

using the power of -1

Answer:

1.25w

Step-by-step explanation:

w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here  is how to solve it:

[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]

P.S: I anwsered it here:

https://brainly.com/question/27350649

Answer:

1.25

Step-by-step explanation:

There is an invisible 1 whenever you add x, y, w, whatever. So when you add w + .25w you are really adding 1w + .25w. Because these are like terms, they go together and combined 1+.25 is 1.25. I hope this helps.

Answer:

2x - y = - 13

Step-by-step explanation:

y - 5 = 2(x + 4) ← distribute parenthesis by 2

y - 5 = 2x + 8 ( add 5 to both sides )

y = 2x + 13 ( subtract 2x from both sides )

- 2x + y = 13 ( multiply through by - 1 )

2x - y = - 13

Work Shown:

[tex]112 \text{ in}^2 = 112 \text{ in}^2 \times \frac{2.54 \text{ cm}}{1 \text{ in}} \times \frac{2.54 \text{ cm}}{1 \text{ in}}\\\\112 \text{ in}^2 = (112 \times 2.54 \times 2.54) \text{ cm}^2\\\\112 \text{ in}^2 = 112 \times (2.54)^2 \text{ cm}^2\\\\112 \text{ in}^2 = 722.5792 \text{ cm}^2\\\\[/tex]

Notes:

The surface area, the lateral area and the volume are, respectively:

The volume is a measure of the space occupied by the solid, the lateral area is the measure of the area occupied by lateral faces of the solid and the surface area is the area occupied by the cross section of the solid. Please notice that the volume of each prism is equal to the product of the surface area and the height of the solid and the lateral area is the sum of the areas of the lateral faces.

In this exercise we must follow these steps to obtain the required results:

Lastly, we proceed to make the corresponding calculations:

S = (10 mi)² = 100 mi²

L = 4 · (10 mi) · (5 mi) = 200 mi²

V = S · h = (100 mi²) · (5 mi) = 500 mi³

S = 0.25 π · (16 cm)² ≈ 201.062 cm²

L = π · (18 cm) · (9 cm) ≈ 508.938 cm²

V = S · h = (201.062 cm²) · (9 cm) ≈ 1809.558 cm³

S = 0.5 · (5) · (9 km) · (6.2 km) = 139.5 km²

L = (5) · (4 km) · (9 km) = 180 km²

V = S · h = (139.5 km²) · (4 km) = 558 km³

S = 0.5 · (3 km) · (4 km) = 6 km²

L = (9 km) · (3 km) + (9 km) · (4 km) + (9 km) · (5 km) = 108 km²

V = S · h = (6 km²) · (9 km) = 54 km³

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538

Answer:

$48.6

Step-by-step explanation:

35% x 36 = 12.6

36 + 12.6 = $48.6

90°-53°=37°

The whole angle is right angled

Hello there!

In order to solve this inequality, we should first use the distributive property:-

3(a-4)≥4(a+5)

3a-12≥4a+20

Now, add 12 to both sides:-

3a≥4a+32

Subtract 4a from both sides:-

3a-4a≥32

-a≥32

Divide both sides by -1:-

a≤-32

The inequality sign changed because we divided both sides by a negative number.

[tex]\mathcal{NOTE:-}[/tex]

I hope everything is clear; however, if you need any explanation or clarification, don't hesitate to let me know, and I will comment or edit my answer. Good luck and have a great rest of your day! :)

Answer:

the answer is (x-1)^2=4

Answer:

given

area of triangle = 48

height(h)=12

base(b) =‽

now,

area of triangle(a) =1/2 base×height

48=1/2 b×12

48=b×6

b=8

Answer:

5184 sq ins.

Step-by-step explanation:

There are 16 squares  each of area 324,

so total area of the quilt = 324 * 16

= 5184 in^2.