Which criterion for triangle congruence will determine the congruence of the two triangles?

Answer:

f^−1(x)=2^x/4

Step-by-step explanation:

The inverse of the function will be;

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ y = log₂ (4x)

Now,

Since, The function is,

⇒ y = log₂ (4x)

Find the inverse of the function as;

⇒ y = log₂ (4x)

⇒ [tex]2^{y} = 4x[/tex]

⇒ [tex]\frac{2^{y}}{4} = x[/tex]

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Thus, The inverse of the function y = log₂ (4x) is,

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Learn more about the function visit:

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Answer:314

Step-by-step explanation:

V=pi r squared

V= 3.14x10 squared

10 squared= 100

V=3.14x 100

V= 314

Answer: 10.2

Step-by-step explanation:

Use the Pythagorean Thoerem

[tex]b=\sqrt{c^2-a^2}\\b=\sqrt{15^-11^2}\\b=\sqrt{225-121[/tex]

[tex]b=\sqrt{104}\\\\b=10.2[/tex]

Answer:

x = 10.2

Step-by-step explanation:

the exact solution is 10.19804

Answer:

Whenever you divide two terms with the same base, you keep the base and subtract the exponents.

Example:

x³ / x⁷ = x³⁻⁷ = x⁻⁴ = 1 / x⁴

or

8¹³ / 8⁶ = 8¹³⁻⁶ = 8⁷

Whenever you multiply two terms with the same base, you keep the base and add the exponents.

Example:

x³ × x⁷ = x³⁺⁷ = x¹⁰

or

12⁻⁵ × 12⁹ = 12⁻⁵⁺⁹ = 12⁹⁻⁵ = 12⁴

Answer:

its c

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

912÷960=0.95

Hope this helps.

Step-by-step explanation:

area of figure = 5x² + 3

plz mark my answer as brainlist plzzzz.hope this will be helpful to you if you find it useful ☺️

Answer:

the answer you are looking for is B

Answer:

The measure of the angle subtended by each arc intercepted by the sides of the reh13-gon is approximately 27.69°

Step-by-step explanation:

The number of of equal sides in a regular 13-gon = 13 sides

The measure of the angle, 'θ', subtended by each arc intercepted by the sides of the 13-gon is given as follows;

θ = 360°/13 = [tex]27\dfrac{9}{13} ^{\circ}[/tex]  

By rounding rounding the answer to the nearest 10th, we have that the measure of the angle subtended by each arc intercepted by the sides of the 13-gon, θ = [tex]27\dfrac{9}{13} ^{\circ}[/tex] ≈ 27.69°

Answer: Los dos números son 8 y 5

Explanation:

Considere los dos números como

x

and

y

A partir de los datos dados, escribimos:

x

−

y

=

3

x

+

y

=

13

A partir de la primera ecuación, determinamos un valor para

x

.

x

−

y

=

3

agregar

y

a ambos lados.

x

=

y

+

3

En la segunda ecuación, sustituya

x

with

(

y

+

3

)

.

x

+

y

=

13

(

y

+

3

)

+

y

=

13

Abra los corchetes y simplifique.

y

+

3

+

y

=

13

2

y

+

3

=

13

Sustraer

3

de cada lado.

2

y

=

10

Divide ambos lados por

2

.

y

=

5

En la primera ecuación, sustituya

y

con

5

.

x

−

y

=

3

x

−

5

=

3

Agregar

5

a cada lado.

x

=

8

Step-by-step explanation:

Answer:

Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

Step-by-step explanation:

Answer:

By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.

Step-by-step explanation:

This is edges sample resopnse

Answer:

96 combinations

Step-by-step explanation:

when you get a question like this you multiply all the numbers and you get total number of combinations possible

Answer:

36 outcomes

As this a sandwich shop it uses bread for all meats.

3 x 4 x 3 = 36

Because 3 x 4 = 12

As the toppings are only repeated 8x3 = 24 and alongside this we add the shorter combinations to this  

Step-by-step explanation:

B1  M1    <  B1 M2 <  B1 M3  < B1 M4  < B1 M1 T1  < B1 M1 T2 < B1 M1 T3  to B1 M1 T8 etc = 12 combinations step 1

B2   M1  repeat above with B2 to replace B1 above  = 12

B3   M1  repeat above with B3 to replace B1 above = 12

As we only multiply whole numbers together if we are looking for an order of sequence such as combinations to a safe number code or how people stand in a queue etc back to middle number. We would get 96

Bread x middle value then outcome x toppings = 36 outcomes

Answer: there are 11 calories in one glass of milk and 14 calories in one snack bar.

Step-by-step explanation:

Take milk to to be M and snack bars to be S.

Use algebra, so

2m + 3s = 64 and also

4m + 2s = 72

Multiply the top equation by 2 so both have 4m, so

4m + 6s = 128 and also

4m + 2s = 72

Then minus the numbers form the top equation by the bottom equation, so

4m + 6s = 128

- - -

4m + 2s = 72

This gives you 4s=56 so divide by 4 so s=14

No put 14 into the equation for s and rearrange to solve for m, so

2m+3s=64 So

2m+3x14=64

2m+42=64

Then minus 42

2m=22

m=11

Answer:

They are still congruent even after being rotated they still will remain the same shape.

Step-by-step explanation:

Answer:All the sides of each shape must be identical. so yes if it is

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

We want to simplify:

[tex](3a-2b)^2[/tex]

Recall the perfect square trinomial pattern:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Let a = 3a and b = -2b. Thus:

[tex](3a-2b)^2=(3a)^2+2(3a)(-2b)+(-2b)^2[/tex]

Simplify:

[tex]=9a^2-12ab+4b^2[/tex]

Our answer is C.

Answer:

The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (49) < μ₁ - μ₂ < (289)

Step-by-step explanation:

The given data are;

Bakery A

[tex]\overline x_1[/tex] = 1,880 cal

s₁ = 148 cal

n₁ = 10

Bakery B

[tex]\overline x_2[/tex] = 1,711 cal

s₂ = 192 cal

n₂ = 10

[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) - t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2} \right ) + t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]

df = n₁ + n₂ - 2

∴ df = 10 + 18 - 2 = 26

From the t-table, we have, for two tails, [tex]t_c[/tex] = 1.706

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 10-1 \right )\cdot 148^{2} +\left ( 18-1 \right )\cdot 192^{2}}{10+18-2}}= 178.004321469[/tex]

[tex]\hat \sigma[/tex] ≈ 178

Therefore, we get;

[tex]\left (1,880-1,711 \right ) - 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}< \mu _{1}-\mu _{2}< \left (1,880-1,711 \right ) + 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}[/tex]

Which gives;

[tex]169 - \dfrac{75917\cdot \sqrt{35} }{3,750} < \mu _{1}-\mu _{2}< 169 + \dfrac{75917\cdot \sqrt{35} }{3,750}[/tex]

Therefore, by rounding to the nearest integer, we have;

The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289

Answer:

Which part of the story's plot structure does this sentence illustrate? I think its B. Climax

Answer:It connects with the line showed

Step-by-step explanation:

Answer: the y-intercept is (0,-1)

u get this by looking at the coordinate on the y axis and figure it out...

Step-by-step explanation:

Answer:

KL= 14

Step-by-step explanation:

4*2=8

5*2=10

7*2=14

Answer:

Micah can earn $2,669

I hope this helps

Step-by-step explanation:

Answer:

47

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

can I get how you solved it

Answer:

besti you didnt put the statement

This might help

total surface area Stot = 42.5 ft2

lateral surface area Slat = 30 ft2

top surface area Stop = 6.25 ft2

bottom surface area Sbot = 6.25 ft2

but im thinking they would need 113.7 ft of rapping paper i many be totally wrong tho

Answer:

42.5

Step-by-step explanation:

To find how many square inches of wrapping paper he will need you need to find the area of each face of the box and add them all together.

Top and bottom face:

First, 2.5 times 2.5 equals 6.25. Multiply 6.25 times 2 since there is one for the top and bottom to get 12.5

Left, Right, front, and back face:

Multiply 2.5 by 3 to get 7.5, and multiply 7.5 by 4 to get 30 since there are four faces with the same area.

Final Step:

Now, just add all the areas of the faces calculated to recieve the answer of 42.5

30 + 12.5 = 42.5

Answer:

d = 711 miles

Step-by-step explanation:

The speed s of the car is given by :

[tex]s=3\sqrt{d}[/tex] ...(1)

Where

d is the stopping distance

We need to find the stopping distance of a car travelling at 80 mph.

Rearranging equation (1) for d.

[tex]s^2=9d\\\\d=\dfrac{s^2}{9}\\\\d=\dfrac{80^2}{9}\\\\d=711.1\ miles[/tex]

or

d = 711 miles

So, the required stopping distance is 711 miles.

For this case the distance will be given by:

d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2

Rewriting we have:

d ^ 2 = (18) ^ 2 + (12) ^ 2

d ^ 2 = 324 + 144

d ^ 2 = 468

d = root (468)

d = 21.63 Km

Answer:

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

Answer:

a and b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You basically just add the numbers where x is. I tried it with 5 and both equalled 28. Using 5 as x makes the equation equal which is what we are looking for. So the answer is x=5.

Answer:180+65=245, your answer is 245 degrees.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The perimeter is all the sides added up

2.5x + 2.5x + 10 + 2 + 10 =>

5x + 22

It is also given that the perimeter is 10.5x

meaning that both these values are equal

5x + 22 = 10.5x