Use the given information to determine which of the following relationships
can be proved and why.
L= 20
ME ZP
ML = PO
A. ALMN - A OPQ, because of AAS.
B. ALMNE A OPQ, because of ASA.
C. We cannot prove any relationship based on these data.
D. ALMN=A OPQ, because of SAS,

Let the two equal angles each be x

Let the third angle be x + 48

Then ATQ

x + x + x + 48 = 180

3x + 48 = 180

3x = 180 - 48 (Angle Sum Property)

3x = 132

x = 132/3

x = 44

Now the two angles are each 44

And the largest angle = 44 + 48

= 92

Answered by Gauthmath must click thanks and mark brainliest

Largest angle in the triangle is [tex]92^{0}[/tex]

"A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry."

"Angle sum property of triangle states that the sum of interior angles of a triangle is 180°."

Let us assume the two equal angles be '[tex]x[/tex]'

According to the question,

Two equal angles = [tex]x[/tex]

Third angle = [tex]x+48^{0}[/tex]

We know the angle sum property

[tex]x+x+x+48^{0} =180^{0}[/tex]

⇒[tex]3x+48^{0}=180^{0}[/tex]

⇒[tex]3x=180^{0}-48^{0}[/tex]

⇒[tex]x=\frac{132^{0} }{3}[/tex]

⇒[tex]x=44^{0}[/tex]

Two equal angles  [tex]x[/tex] = [tex]44^{0}[/tex]

Largest Angle = [tex]44^{0} +48^{0}[/tex]

∴  Largest Angle = [tex]92^{0}[/tex]

Hence, Largest Angle = [tex]92^{0}[/tex]

Learn more about triangle and angle sum property here

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Answer:

FALSE.The ratio of the volumes of two similar solid polyhedra is equal to the square of the ratio between their edges. This statement is false. A polyhedron is a shape that has no gaps between their edges or vertices.

Answer:

it's false

~~~~~~~~~~~

Answer:

Step-by-step explanation:

The combinations are:

Total number of combinations:

Correct choice is B

there are 8different combinations are modeled by the diagram.

Answer:

Solution given:

orange:2

grape:2

apple:2

grapefruit:2

no of term:4

now

total no. of combination ia 4*2=8

Answer:

The value of the test statistic is z = 1.39.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

Step-by-step explanation:

Using traditional methods it takes 92 hours to receive an advanced flying license.

This means that at the null hypothesis, it is tested if the mean is of 92, that is:

[tex]H_0: \mu = 92[/tex]

Test if there is evidence that the technique lengthens the training time

At the alternative hypothesis, it is tested if the mean is more than 92, that is:

[tex]H_1: \mu > 92[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

92 is tested at the null hypothesis:

This means that [tex]\mu = 92[/tex]

A researcher used the technique on 70 students and observed that they had a mean of 93 hours. Assume the population variance is known to be 36.

This means that [tex]n = 70, X = 93, \sigma = \sqrt{36} = 6[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{93 - 92}{\frac{6}{\sqrt{70}}}[/tex]

[tex]z = 1.39[/tex]

The value of the test statistic is z = 1.39.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 93, which is 1 subtracted by the p-value of z = 1.39.

Looking at the z-table, z = 1.39 has a p-value of 0.9177.

1 - 0.9177 = 0.0823.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

Answer:

12

Step-by-step explanation:

12

Answer:

294 meters squared

Step-by-step explanation:

Surface area of cube is calculated using the formula :

Surface area of cube = 6a²; where a = side length of the cube

The side length of the cube, a = 7 meters

Hence,

Surface area = 6 * 7² = 6 * 49

Surfave area of cube = 294 meters

Answer:

245 meters squared (correct on my test)

Step-by-step explanation:

Remember, in this case, we complete the formula and then subtract the area of the base. Therefore, we take 6 x (7 meters)^2 and subtract (7 meters)^2. This can also be represented as 5 x (7 meters)^2.

Answer:

m∠ AEB = m∠ CED ......... By Vertical Angles Theorem.

Step-by-step explanation:

Vertical Angles Theorem: Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines, are congruent. If two lines intersect each other, we have the two pair of vertical opposite angles. As shown in the figure. Here, ∠ 1 and ∠ 2 are vertical opposite angles, and also they are equal. ∠ 3 and ∠ 4 are also vertical opposite angles, and also they are equal. For, step 3. m∠ AEB = m∠ CED Therefore, the reason for this proof is Vertical Angles Theorem.

Answer:

Step-by-step explanation:

so d = 2r which means r = 5cm.

A = πr^2 = π(5)^2 = 25π =  (25)(3.14) = 78.5 cm^2.

So input 78.5

Answer:

see below

Step-by-step explanation:

so d = 2r which means r = 5cm.

A = πr^2 = π(5)^2 = 25π =  (25)(3.14) = 78.5 cm^2.

So input 78.5

HOPE IT HELPS YOU

Answer:

I used the function normCdf(lower bound, upper bound, mean, standard deviation) on the graphing calculator to solve this.

Input in these values and it will result in:

normCdf(1914.8,9999999,1986.1,27.2) = 0.995621

So the probability that the value is greater than 1914.8 is about 99.5621%

I'm not sure if this is correct 0_o

Answer:

√5/121

Step-by-step explanation:

formula: a^½=√a

(⁵/¹²¹)^½=√⁵/¹²¹

Answer:

65

Step-by-step explanation:

40 + 5 × 5

40 + 25

65

Note: I also come from another country •-•

[tex]{ \boxed {\huge{ \sf{ \color{blue}{answer : }}}}}[/tex]

65

Step-by-step explanation:

= 40 + 5 × 5

= 40 + 25

= 65

-

Given:

The graph of a function is given.

To find:

The point that is the relative maxima on the interval x = –1 and x = 2 in the graph.

Solution:

Relative maxima: It is the maximum point of a function over a short interval.

From the given graph it is clear that the graph of the function over the interval x = –1 and x = 2 has a relative maxima at (0,0).

Clearly, (0,0) is represented by point a.

So, the point a is the relative maxima on the interval x = –1 and x = 2 in the graph.

Therefore, the correct option is A.

A quadratic a function has a form of,

[tex]f(x)=ax^2+bx+c,a\neq0[/tex]

The first function has a term [tex]x^3[/tex] which doesn't fit the profile of a quadratic function. The highest exponent on x inside a quadratic function can be 2, but here we have 3 so this is not a quadratic function, but rather a cubic function.

The second function fits the form of a quadratic function perfectly.

The third function is a bit tricky. While technically the third function could be considered quadratic if the leading term would be something like [tex]0x^2[/tex] and we did't even see it written out because multiplying with 0. But when we specified the form of a quadratic function, we strictly said that the number before [tex]x^2[/tex] aka [tex]a[/tex] cannot equal to zero. So the last function is not a quadratic function but rather a linear function.

Hope this helps :)

Step-by-step explanation:

f(x) = 4x² + x - 3

[tex]f(x) = 4x {}^{2} + 3 - 2[/tex]

r3t40 is correct

Answer:

330

11 choose 4

[tex]=\frac{11!}{4!\left(11-4\right)!}\\= 330[/tex]

Step-by-step explanation:

Answer:

(3,5)

Step-by-step explanation:

After transformation the point will be (3, 5).  

A rotational transformation can be done clockwise or anticlockwise to certain number of degrees. Rotational transformation does not alter the size and shape of the figure.

Rotating (4,-1) 90° anticlockwise centred at the origin yields the point (1, 4).

Then transforming the point (1, 4) two units to the right and 1 unit up results in the point (3, 5).

We can also rotate 90° clockwise that would result in some different point on this coordinate system.

Instead on a straight line we can also have some 2D figures like a triangle a rectangle etc.

Learns more about Rotational transformation here :

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Answer:

r = -23

Step-by-step explanation:

slope = (y1-y2)/(x1-x2)

(r--7)/(-2-4) = 8/3

(r+7)/-6 = 8/3

3(r+7)=8 x -6

3r + 21 = -48

3r = -69

r = -23

Answer:

VW ≈ 4.0

Step-by-step explanation:

Using the sine ratio in the right triangle

sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{VW}{VX}[/tex] = [tex]\frac{VW}{7}[/tex] ( multiply both sides by 7 )

7 × sin35° = VW , then

VW ≈ 4.0 ( to the nearest tenth )

0.00000004 to the power of 4

Your answer would be 0

9514 1404 393

Answer:

  C.  3/5

Step-by-step explanation:

The distance from the origin to the given point is ...

  d = √(3² +(-4)²) = √(9+16) = 5

The cosine of the angle is the ratio of the x-coordinate to this value:

  cos(θ) = x/d

  cos(θ) = 3/5

Answer:

[tex]\displaystyle y' = \frac{\sqrt{y} + y}{4\sqrt{x}y \Big( y^\Big{\frac{3}{2}} + \sqrt{y} + 2y \Big) + \sqrt{x} + x}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

Derivative Rule [Quotient Rule]:                                                                           [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Implicit Differentiation

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \frac{\sqrt{x} + 1}{\sqrt{y} + 1} = y^2[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Book: College Calculus 10e

Answer:

377.19 (rounded off to 2dp)

Step-by-step explanation:

since its a right angled triangle, we can use tangent

tan(x) =opp/adj

tan(5) =33/AC

AC =33/tan(5)

9514 1404 393

Answer:

  C)  2.2 seconds

Step-by-step explanation:

The initial vertical speed of the football is ...

  v = (18.0 m/s)sin(36.9°) ≈ 10.807 m/s

Since the ball starts and ends at ground level, its speed when it hits the ground is the same as its launch speed. That is, the acceleration due to gravity causes the velocity to change from +v to -v. The time required to do that is ...

  t = 2v/g = 2(10.807 m/s)/(9.8 m/s^2) = 21.614/9.8 s ≈ 2.206 s

The football is in the air about 2.2 seconds.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]n = t + r[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'n'...}}\\\\t = n - r\\----------\\\rightarrow t + r = n -r + r\\\\\rightarrow t+r = n\\\\\rightarrow \boxed{n=t+r}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The time it takes to wash has the probability density function,

[tex]P(X=x) = \begin{cases}\frac1{17-8}=\frac19&\text{for }8\le x\le 17\\0&\text{otherewise}\end{cases}[/tex]

The probability that it takes between 14 and 16 minutes to wash the dishes is given by the integral,

[tex]\displaystyle\int_{14}^{16}P(X=x)\,\mathrm dx = \frac19\int_{14}^{16}\mathrm dx = \frac{16-14}9 = \frac29 \approx \boxed{0.22}[/tex]

If you're not familiar with calculus, the probability is equal to the area under the graph of P(X = x), which is a rectangle with height 1/9 and length 16 - 14 = 2, so the area and hence probability is 2/9 ≈ 0.22.

9514 1404 393

Answer:

  A.  7 seconds

Step-by-step explanation:

We assume your factored equation is something like ...

  h(t) = -16t(t -7)(t +2)

The time it takes the ball to reach the ground is the positive value of t that makes a factor zero:

  t -7 = 0   ⇒   t = 7

The ball will land on the ground in 7 seconds.

Answer:

i dont kbow lol gggggggggg

Answer:

Kindly check explanation

Step-by-step explanation:

regression to fit

x1 0 1 1 2 2 3 3 4 4

x2 0 1 2 1 2 1 2 1 2

y 15.1 17.9 12.7 25.6 20.5 35.1 29.7 45.4 40.2

Using technology ;

The multiple linear regression fit for the data is :

y = 9.025x1 - 5.704x2 + 14.461

Where 9.025 and - 5.704 are the slope values of x1 and x2 respectively.

14.461 = intercept.

The Correlation Coefficient, R from the output is 0.998 ; this depicts a strong positive relationship  between the independent variables and dependent variable.

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{x+1}{5}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject , that is

y = 5x - 1 ( add 1 to both sides )

y + 1 = 5x ( divide both sides by 5 )

[tex]\frac{y+1}{5}[/tex] = x

Change y back into terms of x , with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x+1}{5}[/tex]

Answer:

300, 16.67%

Step-by-step explanation:

Let x be the cost price. x-(1/6)x=250. 5x/6=250. x=300. Losss percentage is 16.67%