If the triangles above are reflections of each other, then BC = to

If The Triangles Above Are Reflections Of Each Other, Then BC = To

Answers

Answer 1

Answer:

DF

Step-by-step explanation:

Paint a picture in your head reflecting the triangle. Just hold A and flip it so A = E , D = B


Related Questions

Find the value of y in the equation attached to this question

Answers

Answer:

y = 4

Step-by-step explanation:

1) Simplify [tex]3^5[/tex] to 243.

[tex]{9}^{y}=\frac{243\times {9}^{6}}{{27}^{3}}[/tex]

2) Simplify [tex]{9}^{6}[/tex] to 531441.

[tex]{9}^{y}=\frac{243\times 531441}{{27}^{3}}[/tex]

3)  Simplify  [tex]243\times 531441[/tex] to  129140163.

[tex]{9}^{y}=\frac{129140163}{{27}^{3}}[/tex]

4) Simplify  [tex]{27}^{3}[/tex]  to  19683.

[tex]{9}^{y}=\frac{129140163}{19683}[/tex]

5) Simplify  [tex]\frac{129140163}{19683}[/tex] to 6561.

[tex]{9}^{y}=6561[/tex]

6) Convert both sides to the same base.

[tex]9^y=9^4[/tex]

7)  Cancel the base of 9 on both sides.

[tex]y=4[/tex]

Cheers,

ROR

Answer:

y = 4

Step-by-step explanation:

Decompose  in base 3

[tex]9^{y} =\frac{3^{5} (3^{2})^{6} }{(3^{3})^{3} } =\frac{3^{5}3^{12} }{3^{9} } =\frac{3^{17} }{3^{9} } =3^{17-9} =3^{8}[/tex]

if

[tex]3^{8} =(3^{2} )^{4} =9^{4}[/tex]

then

[tex]9^{y} =9^{4}[/tex]

[tex]y=4[/tex]

Hope this helps

What is the smallest prime factor of 11^7 +7^5?

Answers

Answer:

3 is the smallest prime factor.

Step-by-step explanation:

ionk how to explain it but trust me its right.

James can hike f(n) miles after building up n days of stamina subject to a maximum of 10 days. Identify the domain that makes sense in this context.

Answers

The domain that makes sense in this context will be (0, 10].

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

James can hike f(n) miles after building up n days of stamina, subject to a maximum of 10 days.

Then the domain that makes sense in this context will be (0, 10].

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In the figure below, j || m. Find the values of x and y.

Answers

X and 73 are same-side interior angles, which are supplementary (they add up to 180).

x + 73 = 180

x = 107

X and (6y - 79) are vertical angles, which are congruent (have the same measure/value.

x = 6y - 79

107 = 6y - 79

6y = 186

y = 31

Hope this helps!

A person paid by the hour works 22 hours a week and makes $359. How much would they make if they work
37 hours?
Round your answer to 2 decimal places.

Answers

Answer:

$ 603.77

Step-by-step explanation:

Find unit rate of  dollars per hour :   359/22

   now multiply by hours :    359/22  * 37 = 603.77

Answer:

$603.77

Step-by-step explanation:

if they work 22 hours a week

and once a week they make $359

therefore divide to get the hourly rate

359/22 = 16.3181818182

they make 16.3181818182 per hour

then we have to multiply the hourly by the hours worked

16.3181818182 * 37 = 603.772727273

since this is in dollars ($) we round to the second decimal place (hundredths)

meaning we cut off the numbers after it

603.77║2727273

then, determine if the thousandths place is equal to or greater than five or less than five

since it is a 2 then the 7 stays the same

if it were a 5 or greater we would round up, making the 7 in the hundredth place turn into an 8.

therefore your answer is $603.77

hope this helps:)

A=(3+[tex]\frac{a+\sqrt{a} }{\sqrt{a}+1 }[/tex])(3-[tex]\frac{a-5\sqrt{a} }{\sqrt{5}-5 }[/tex])

Answers

The simplification of the given algebra we see is; 9 + 3((a√a + a - a + √a)/(a - 1)) - ³/₂₀((√5 - 5)(a - 5√a)) - (a² - 4a√a - 5a)/((√a + 1)*√5 + 5))

How to Simplify Algebra?

We are given the algebra expression;

A = [3 + ((a + √a)/(√a + 1))][3 - ((a - 5√a)/(√5 + 5))]

When we multiply out, we will get;

9 + 3((a + √a)/(√a + 1)) - 3((a - 5√a)/(√5 + 5)) - [((a + √a)/(√a + 1)) * ((a - 5√a)/(√5 + 5))]

⇒ 9 + 3((a√a + a - a + √a)/(a - 1)) - ³/₂₀((√5 - 5)(a - 5√a)) - (a² - 4a√a - 5a)/((√a + 1)*√5 + 5))

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Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
2 similar triangles. Triangle 1 has side lengths 14, 21, blank. Triangle 2 has side lengths 18, 27, blank.
a.
StartFraction 14 Over 27 EndFraction = StartFraction 21 Over 28 EndFraction = StartFraction 14 Over 27 EndFraction
b.
StartFraction 14 Over 18 EndFraction = StartFraction 21 Over 27 EndFraction = StartFraction 7 Over 9 EndFraction
c.
StartFraction 14 Over 21 EndFraction = StartFraction 18 Over 27 EndFraction = StartFraction 2 Over 3 EndFraction
d.
StartFraction 27 Over 14 EndFraction = StartFraction 28 Over 21 EndFraction = StartFraction 27 Over 14 EndFraction

Answers

The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.

How do the Sides of Similar Triangles Relate?

The corresponding sides of similar triangles have ratios that are equal to each other.

The corresponding sides and their ratios are:

4/12 = 1/3

5/15 = 1/3

Therefore, the ratio of their sides in its lowest term is:

C. 4/12 = 5/15 = 1/3

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The Rotation maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation. R^3=

F
E
B

Answers

B will be at the place of E after all three rotations. So the correct option is B.

What is Rotation?

Moving in a circular plane with respect to the fixed point is called as the rotation of the object.

If rotation maps to The three rotations for B will be

The given B after one rotation will shift in place of C

After the second rotation will shift in place of D

After the third rotation will shift in place of E

B will be at the place of E after all three rotations. So the correct option is B.

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measurements are made on a raingauge at

Answers

Step-by-step explanation:

Most standard rain gauges have a wide funnel leading into the cylinder and are calibrated so that one-tenth of an inch of rain measures one inch when it collects inside.

What is the sum of (4x² + 2x - 3) and (3x² + 6)?
A 7x² + 2x + 3
B. 7x² + 3
C. c. 7x² + 2x - 3
D. 7x² - 2x + 3​

Answers

Answer:

A

Step-by-step explanation:

(4x² + 2x - 3) + (3x² + 6)

= 4x² + 3x² + 2x - 3 + 6

= 7x² + 2x + 3

The answer to this question is A

there are 48 students on the school bus, 28 girls and 20 boys. what is the ratio to girls to boys on the school bus?


A. 5:7
B. 7:5
C. 3:4

Answers

Answer:

eather a 5:7 or c 3:4

Step-by-step explanation:

i rlly do hope this helps and good luck

Answer: B) 7:5

Step-by-Step Solution:

No. Of Boys = 20
No. Of Girls = 28
Total No. Of Students = 48

Ratio of Girls to Boys
= 28/20
= 14/10
= 7/5
=> 7:5

Correct Option is C) 7:5

Joanne has a pile of nickels and a pile of dimes. She counts her money and discovers that she has 30 nickels and 10 dimes. Let x represent the number of nickels and y represent the number of dimes. (HINT: Use the values of the coins.) How much money does Joanne have in total?

Total Amount: $_____

Answers

$2.50

Step-by-step explanation:

10 dimes are 100 aka 1 dollar, and 30 nickels make 250

Price of an article is marked 40% above the cost price and sold with 15% discount including 10% VAT at Rs. 26,894. Find the cost price, marked price and profit percentage.​

Answers

Step-by-step explanation:

here is your answer. where are you from

The cost price is Rs22600, the marked price is Rs31640 and the Profit percentage is 19%.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

For example, if you say 678, we must also know the whole number, but if you say 80%, it becomes evident. The percentage is the same as the amount of that value but ranges from 1 to 100.

Let's say

Cost of article = c

Given,

Marked 40% above the cost price and sold with 15% discount including 10% VAT at Rs. 26,894

1.4c - 0.15×(1.4c) = 26894

c = Rs 22600

So,

Marked price = 1.40c = Rs 31640

Profit percentage = ( 26894 - 22600)22600 = 19%.

Hence cost price is Rs22600, the marked price is Rs31640 and the Profit percentage is 19%.

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What is the value of y?

Answers

I need an equation or something

Answer:

y

Step-by-step explanation:

the value of y may be y or on the alphabetic order 25th

Which of the following could be the equation of the function below?

y = -3 sin (2 (x + pi)) + 2
y = -3 sine (x + pi) + 2
y = 3 sin (4 (x - pi)) + 4
y = 3 sin (2 (x + pi)) + 2

Answers

The equation of the sine function will be y = -3 sin [2(x + π)] + 2. Then the correct option is A.

What is a sinusoidal Function?

It is a function that repeats itself in a particular time interval.

The equation is given as

y = A sin (ωx + Ф) + C

Where A is the amplitude, ω is the frequency, Ф is the phase difference, and C is the constant.

From the graph, we have

A = -3

ω = 2

Ф = 2π

C = 2

Then we have the equation will be

y = -3 sin [2(x + π)] + 2

Then the correct option is A.

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Find the equivalent exponential expression. (5^5)^4

Answers

Answer:

5^20

Step-by-step explanation:

since you have brackets around (5^5) you can multiply the exponents. if you think about it what you're essentially doing is

(5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) *

(5 * 5 * 5 * 5 * 5)

which is why you can multiply the exponents to simplify

Glass bottles are redeemed for 50 cents each. Plastic bottles are redeemed for 25 cents each and aluminum cans are .75 cents each. At the end of the event the collected a total of 35 glass bottles 50 plastic bottles and 22 aluminum cans. If there goal was $50 did they make enough money to save the condors

Answers

Answer:

no they did not make enough money

Step-by-step explanation:

Glass: 35 ×0.50 = 17.5

plastic: 50 × 0.25 = 12.5

aluminum: 22 × 0.75 = 16.5

17.5 + 12.5 + 16.5 = $46.5

You spin the spinner twice.
What is the probability of landing on a 7 and then landing on a number less than 9?

Write your answer as a fraction or whole number.

Answers

Answer:

1/3

Step-by-step explanation:

the answer is 1/3 because the probability of landing on a 7 is 1/3 and the probability of landing on any number less than 9 is 2/3. Then, you multiply the probabilities: 1/3 * 2/3 = 2/9 = 1/3

Simplify the expression below using the order of operations. 10+(6-3) 22-4-1 Simplify the expression below using the order of operations . 10+ ( 6-3 ) 22-4-1​

Answers

The expression is 17.

What is expression?

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

10+(6-3) 22-4-1

Using the BODMAS rule,

First solve the bracket term

10+ 3 * 22 -4-1

Now, perform multiplication

10+66-4-1

Now, subtraction

10+66-5

=10+61

And lastly addition

=71.

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Answer:

17

Step-by-step explanation:

the answer is 17 :)

Which linear inequality is represented by the graph?

Answers

Answer:

The equation of the line is y ≥ 1/3(x)-1

Step-by-step explanation:

Given

The line intersects y-axis at (0,-1). Therefore, the y-intercept is -1

The line passes through the points (0,-1)  and (3,0)

The slope can be obtained as follows,

m = 0-(-1)

        3-0

    = 1/3

The linear equation with slope and intercept  is given as follows.

y = mx + c

Substitute 1/3 for m, 3 for x and 0 for y  in equation  to obtain the value of

c .

0 = 1/3 *3 + c

c= -1

To check whether the equation includes origin substitute 0 for x and 0 for y in equation

Therefore, y≥ mx+c

                      = 1/3*x-1

Hence, Linear inequality represented is y ≥ 1/3(x) -1

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Which quadratic equation is equivalent to (x-4)2-(x-4) - 6 = 0?

Answers

Answer:

x=4

Step-by-step explanation:

2x-8-x+4-6=0

or,2x-x-8+4=0

or,x-4=0

or,x=0+4

•°•x=4

ans

Answer:

x = 2 or 7

Step-by-step explanation:

(x-4)² - (x-4) - 6 = 0

x²-8x+16-x+4 -6 = 0

           x²-9x+14 = 0

           (x-2)(x-7) = 0

∴x = 2 or 7

Please find x! These are probably simple! ASAP pls! 2 problems!
1) 3 + x + (-7) ; x = 6
2) x + (-5) + 5; x = -3
17 points:)

Answers

The numeric values of the given expressions are given as follows:

1) 2.

2) -3.

How to find the numeric value of an expression?

We find the numeric value of an expression replacing all instances of x by the number.

The expression 1 is:

3 + x + (-7) = 3 + x - 7 = x - 4.

When x = 6, the value is:

x - 4 = 6 - 4 = 2.

The expression 2 is:

x + (-5) + 5 = x - 5 + 5 = x.

Hence, when x = -3, the value is:

x = -3.

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The figure below shows a large rectangle with a small rectangle cut out of it.

What is the area?

Answers

Answer:

40 square units

Step-by-step explanation:

The question gives that both the large shape and the small missing shape are rectangles.  The formula for the area of a rectangle is [tex]A=bh[/tex] where "A" is the "Area", "b" is the "base" (bottom edge), and "h" is the height (side edge).

For rectangles, opposite sides (example: top & bottom) have the same length, so the top of the missing rectangle must also be 3.

To find the area of the figure, we must find the difference (subtraction) between the large rectangle (without a hole out of it) and the rectangular hole.

[tex]A_{\text{figure}}=A_{\text{large rectangle without hole}}-A_{\text{hole}}\\A_{\text{figure}}=(7)(7)-(3)(3)\\A_{\text{figure}}=49-9\\A_{\text{figure}}=40[/tex]

So, the area of the figure is 40 square units.

Answer:

40

Step-by-step explanation:

We can make a big square by making a line at the top open edge (as shown in the image attached below). We will first solve for [tex]A_{2}[/tex] and then [tex]A_{1}[/tex], and then finally solving for out answer by subtracting [tex]A_{1}[/tex] from [tex]A_{2}[/tex] .

[tex]A_{2}[/tex] is a square with side lengths of 7, so the area is 7 * 7 = 49.

[tex]A_{1}[/tex] is a smaller square with side lengths of 3, so the area is 3 * 3 = 9.

[tex]A_{2} - A_{1} = 49 - 9 = 40[/tex]

∴ Our final answer is 40

What quadrant is the point (2, -5) in?

Answers

Answer:

quadrant 4

Step-by-step explanation:

(2,-5) would be in the 4th quadrant

Solve the inequality and express your answer in interval notation.

Answers

The correct answer is option B which is (-4-√11) and (-4+√11).

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The inequality is given as x² + 8x + 5 < 0 for we will draw a graph of the inequality and find the range of x which ranges from ( -7.31,- 0.68) So these points in the options will be equal to (-4-√11) and (-4+√11).

(-4 - √11)  = -4 -3.31 =-7.31

(-4 + √11) = -4 +3.31 = -0.68

Therefore the correct answer is option B which is (-4-√11) and (-4+√11).

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G E Which of the following segments is tangent to the circle ? 1) overline HL 2 ) overline DE 3 overline FG 4 ) overline AC

Answers

Answer:

DE

Step-by-step explanation:

........................

what is the area of the triangle formed from (0,1), (0,4), and (4,1)?

Answers

Answer:

6 square units

Step-by-step explanation:

base = 4 units

height = 3 units

 [tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base*height}[/tex]

                                  [tex]\sf =\dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square units[/tex]

Given :

Height of triangle = 3 unitsBase of triangle = 4 units

To Find :

Area of triangle

Solution :

[tex]\Large❏ \: \large\begin{gathered} {\underline{\boxed{ \rm {\blue{Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: Base \: × \: Height }}}}}\end{gathered}[/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: Base \: × \: Height [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: 4 \: × \: 3 [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{ \cancel2} \: \times \: \cancel{4} \: ^{\green2} \: × \: 3 [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 2 \: \times \: 3[/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 6[/tex]

Hence , the area of triangle is 6 units.

If a polygon has an area of 25cm and is dilated by a factor of 3, what will be the area of the dilated polygon?

Answers

Answer:

225 cm²

Step-by-step explanation:

dilatation factor = 3 , then

area factor = 3² = 9

the area of the dilated polygon is then 9 times the area of the original so

area of dilated polygon = 9 × 25 = 225 cm²

Carl is making a garden that is twice as long as it is wide. he wants to cover 271
square feet with the garden. which equation best represents the situation if x
represents the length of the garden?

Answers

The equation which best represents the scenario is, x²/2=271

Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

Perimeter is a length of the boundary surrounding the area

Area of rectangle=length x Breadth

Perimeter=2(length+breadth)

length=x

breadth=x/2

Area=271ft²

Area=length x breadth

So, using the given value we can write

271=x²/2

⇒x=√542

      =23.28ft

Therefore, the equation which best represents the scenario is, x²/2=271

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Which function is the result of vertically stretching f(x) = x ^ 2 - 7 by a factor of 2 and translating downward 5 units?

Answers

The function that is the result of vertically stretching f(x) = x²-7 by a factor of 2 and translating downward 5 units is 2x² - 19.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)

The given function f(x) is needed to be stretched vertically by a factor of 2, therefore, the function can be written as,

g(x) = 2(x² - 7) = 2x² - 14

Now, the function is needed to be translated by 5 units in the downward direction, therefore,

p(x) = g(x)-5 = 2x² - 14 -5

p(x) = 2x² - 19

Hence, the function that is the result of vertically stretching f(x) = x²-7 by a factor of 2 and translating downward 5 units is 2x² - 19.

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