Determine the postulate or theorem that would determine the pair of triangles to be congruent
Nñ
C
d.
- SSS
:: SAS
- ASA
# AAS
: HL
.: Cannot be determined

Answer:

[tex]x=7,\\y=4\sqrt{2}[/tex]

Step-by-step explanation:

Draw an auxiliary line in the trapezoid forming a triangle and a rectangle. The dimensions of the rectangle are 3 x 4, so the length of the auxiliary line must be 4.

The auxiliary line also creates a 45-45-90 triangle. The auxiliary line itself makes up one leg of the triangle, and since we know it is 4, we can use the Pythagorean Theorem to find y:

[tex]4^2+4^2=y^2,\\y^2=32,\\y=\sqrt{32}=\boxed{4\sqrt{2}}[/tex]

The length of x can be found by adding the bottom leg of the 45-45-90 triangle and the bottom dimension of the rectangle:

[tex]x=4+3=\boxed{7}[/tex]

Answer:

142.7 m²

Step-by-step explanation:

but sure, what you know about triangles and trigonometry (simplified, the relationship of angles and sides of shapes based on circles enclosing them)

so, here a quick summary of important facts and angle/side relationships in triangles :

the sum of all angles in a triangle is always and for every triangle 180 degrees.

sin(angle) is vertically up or down from the horizontal diameter of the encircling circle to the point on the circle hit by a line from the center of the circle with the described angle from the horizontal diameter.

cos(angle) is horizontally left or right from the center of the encircling circle to the point, where the sine-line hits the horizontal diameter.

the sides are named in relation to their opposing corners and their angles. so, for example, side a is opposing the corner point A and the angle at this point (also called A).

here it is also important to know :

a/sin(A) = b/sin(B) = c/sin(C)

and the area of a general triangle is

area = 1/2 × b × c × sin(A) or

1/2 × a × c × sin(B) or

1/2 × a × b × sin(C)

so, if we want to use the first option, we need to calculate b first. for this we use

b/sin(B) = c/sin(C)

b = (c × sin(B)) / sin(C)

for this we need to calculate C first. and we use

A + B + C = 180

C = 180 - A - B = 180 - 54.3 - 30.4 = 95.3 degrees

=>

b = (26.3 × sin(30.4)) / sin(95.3) = 13.36583...

=> area = 1/2 × 13.36583... × 26.3 × sin(54.3) = 142.7324...

= 142.7 (rounded)

Answer:

6x + 7

Step-by-step explanation:

(7x - 2) - (x - 9)

7x - 2 - x + 9

6x + 7

Answer:X=-9

Step-by-sep explanation:

4-2X=22

Move towards

⇒-2X=22-4

Multiply -1

⇒2X=-18

Divide by two

⇒X=-9

Answer:

[tex]r = \sqrt{ {2}^{2} + {2}^{2} - 3 } = 5 \\ {(x - 2)}^{2} + {(y - 2)}^{2} = 3[/tex]

Answer:

13x=5

Step-by-step explanation:

sus 20 crequired udbshs

Answer:

mean = find the total of people in such data by adding up all the totals of people represented by each age then  divide that total by 2.

mean = with cumulative or frequency graphs if the numbers range individually like 25-30 and 30-35 etc and so on then you take the midpoint age and multiply it by the frequency number in new column add up both columns then divide by smaller total.

mean = histogram total number of data ie) from 270 people (80 x 0 = 0), (40 x 2 = 0) and so on multiplying the frequency. then add them all up in new column ie) 380 among 270 people = 1.4  

mode = histogram highest box

median = histogram add up all data number divided by 2 and can draw this on graph as they sort of are in order ie) 15 to the left and 15 to the right

To find standard deviation you need the copulative formula and the notation change for sample shows the small m and s to represent standard deviation ie) m-n is a notation difference for samples of population's

n = number of scores ie)  = 50  

Ex = then sum of x  = would be the collective total  ie) = 270

m = 270/50 = 5.4

Ex^2 = 270 x 270 = 72900   (the square of the total population)

SS = Sum of squares = 72,900 - ( 270^2 / 50) are all the variables.

is the formula  = 71,442

the root of SS -1

S^2 = 270 / (50 -1) =  270/49 = 5.51

S = sqrt S^2 = sqrt SS /n-1 = sq rt 50 = and you get your answer here.

Standard Deviation on data example here shown is;

S = sqrt 5.51 = sqrt 71442 / n-1 = sq rt 71442/ 50-1 = sq rt 71442/49 = 38.1837662  from a 270 population that exists with 50 age group 25 -75 to show the ease here and how to remember.

Just retrace and where 270 is change for total

Where 50 is put 64-25 = 39

and where n-1 is put 39-1 and always subtract first before dividing as the formula protects the brackets as seen in bold.

As your very last formula is S = SS/n-1

Step-by-step explanation:

Answer

2

Step-by-step explanation:

x^2-5x+2,

the greatest exponent seen in the polynomial is two (x squared), so the degree of this polynomial is 2 because of the number two x^2 -5x+2

Answer:

3

Step-by-step explanation:

You can look at the left side of figure thred, it’s one, and b’s left side is 3. To find the scale factor, you divide the second figure by the first. So 3/1=3

Answer:

$200

Step-by-step explanation:

Answer:

I think it is 200$

Step-by-step explanation:

Answer:

x < 30

Step-by-step explanation:

Given the inequality expression that denotes the statement as;

30x+100 < 1000

Subtract 100 from both sides

30x + 100 - 100 <1000 - 100

30x < 900

Divide both sides by 30

30x/30 < 900/30

x < 30

Hence the required solution is x < 30

The number of employee the manager can afford a day is x < 30.

The given parameters:

The inequality of the number of employee the manager can afford a day is calculated as follows;

30x + 100 < 1000

collect similar terms together;

30x < 1000 - 100

30x < 900

divide both sides of the equation by 30;

[tex]x <\frac{900}{30} \\\\x <30[/tex]

Thus, the number of employee the manager can afford a day is x < 30.

Learn more about solution to inequality here: https://brainly.com/question/24372553

Answer:

60° is the answer sure

I hope the above pic explanation helps

I HOPE IT HELPS

HAVE A GREAT DAY

#Liliflim

Answer:

60°

Step-by-step explanation:

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

Answer:

I'll setup the problem and leave the computation to you

Step-by-step explanation:

The equation to calculate fixed payments

[tex]P = \frac{r(PV)}{1- {(1 + r)}^{ - n} } [/tex]

P= payments

r = interest rate for the period (which is a quarter )

PV = present value (or the amount borrowed)

n = number of periods

r = .25/4 (4 months = quarter of a year)

n = 4*10

PV = R450550.00

if you have questions, put them in the comment

Answer:

(My answers are not rounded!)

Problem A:

Area: 285 cm^2

Perimeter: 70 cm

Problem B:

Area: 30 m^2

Perimeter: 30 m

Problem C:

Area: 28 m^2

Perimeter: 24 m

Problem D:

Lateral Area: 150 in^2

2 (l + w) h

= 2 (11 + 4) 5

= 2(15)5

= 30(5)

= 150

Surface Area: 238 in^2

2 (lw + hl + hw)

2 (11 x 4 + 11 x 5 + 5 x 4)

= 2 ( 44 + 55 + 20)

= 2 (119)

= 238

Volume: 220 in^3

Length x width x height (rectangular prism)

use formula: 11 x 5 x 4 = 220

Problem E:

Area: 379.94 m^2

Formula: πr^2 (circle)

3.14(11^2)

= 3.14(121)

= 379.94

Circumference: 69.08 m

Formula: 2πr

= 2(3.14)11

= 6.28(11)

=69.08

Problem F:

Area: 49 m^2

length x width

7 x 7 = 49

Perimeter: 28 m

2 (l + w)

= 2 (7 + 7)

= 2(14)

= 28

Problem G:

Area: 1,056 cm^2

length x width

48 x 22 = 1,056

Perimeter: 140 cm

2 (l + w)

2 (48 + 22)

2(70)

=140

Problem H:

Lateral Area: 94.2 in^2

2πrh

= 2(3.14) x 1.5(10)

= 6.28 x 15

= 94.2

Surface Area: 108.33 in^2

2πrh+2πr2

=2(3.14) 1.5(10) + 2(3.14) 1.5^2

= 108.33

Volume: 70.65 in^3

πr2h

= 3.14(1.5^2) 10

= 3.14(2.25) 10

= (7.065) 10

= 70.65

Answer:

07.50086956521739% (round it)

Step-by-step explanation:

Find what percent 43.13 (Number A) is of 575 (Number B). To do this you divide Number A by Number B.

43.13 / 575 = 0.0750086956521739

Move the decimal point two places to the right.

007.50086956521739

Get rid of the zeros.

7.50086956521739

Answer:

07.5%

Step-by-step explanation:

Answer:

#1 ((2, 0), (3, 2), (5, 1)) = right isoceles triangle ✔️

#2 ((4, 2), (6, 2), (5, 3.73)) = acute isosceles triangle ❌

so it is not part of graph

#3 ((-5, 2), (-4, 4), (-2, 2)) = Acute scalene triangle ✔️

#4 ((-3, 1), (-3, 4), (-1, 1)) = Right scalene triangle (or right triangle)✔️

#5 ((-4, 2), (-2, 4), (-1, 4)) = Obtuse scalene triangle ✔️

Step-by-step explanation:

the triangles are correct

Answer:

(2,0), B(3,2),C(5,1) is isosceles right angel

(-5,2), B(-4,4), C(-2,2) acute scalene triangle

(-3,1), B(-3,4), C(-1,1) right angel

(-4,2), B9-2,4), C(-1,4) obtuse scalene triangle

Step-by-step explanation:

f is an even function if f(-x) = f(x)

f is an odd function, if f(-x) = -f(x)

[tex] \csc( \frac{ - 3\pi \: x}{2} ) = - \csc( \frac{3\pi x}{2} ) [/tex]

Option B is an odd function

Answer:

D. H_0: μ > = 3 vs. H_1: μ < 3

Step-by-step explanation:

A professor of statistics at NCSU refutes the claim that the average student spends 3 hours studying for the midterm exam.

The claim is that the average student spends 3 hours studying, so the null hypothesis is that the mean is at least 3, that is:

[tex]H_0: \mu \geq 3[/tex]

At the alternative hypothesis, we test if the mean is less than 3, so:

[tex]H_1: \mu < 3[/tex]

This means that the correct answer is given by option D.

Answer:

Step-by-step explanation:

x−log(48)+3(log(2))=

1

3

(log(125))−log(3)

Simplifies to:

x−0.778151=0.221849

Let's solve your equation step-by-step.

x−0.778151=0.221849

Step 1: Add 0.778151 to both sides.

x−0.778151+0.778151=0.221849+0.778151

x=1

Answer:

x=1

Answer:

y=-15/2 + 3x/4

Step-by-step explanation:

Answer:

16/33

Step-by-step explanation:

Tổng của cả 4 tấm thẻ là một số lẻ khi:

Có 1 thẻ là lẻ, 3 thẻ còn lại là chẵn, có: 6C1.5C3=60 cách

Có 3 thẻ là lẻ, 1 thẻ là chẵn, có: 5C1.6C3=100 cách

Suy ra có 160/11C4=16/33 cách

Answer:

ANSWER BELOW↓

Step-by-step explanation:

Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication. We have seen several examples of factoring already. However, for this article, you should be especially familiar with taking common factors using the distributive property.

Answer:

d. 4

Step-by-step explanation:

The degree of freedom is the amount of independent data set used to calculate an estimate. The degree of freedom is quite different from the sample size (n). It is calculated by subtracting one(1) from the total value of the data set (sample size (n)).

From the information given:

The sample size is the number of people in the same group

sample size n = 5

degree of freedom = n - 1

= 5 - 1

= 4

Answer:

90.5 hours or 90 hours and 30 minutes

Step-by-step explanation:

100-9.5=90.5

Answer:

The last one the one with (-6,00) and Range (5,00)

Answer:

B

Step-by-step explanation:

they said 2 hours for each final

Answer:

There is either No Answer or

B See if the computer or your maker will take B, but the real answer is that there is no answer.

Step-by-step explanation:

Prime polynomials cannot be factored.

x^2 + 4 can't be factored.

x^2 - 4 can be factored and is not prime

x^2 - 4 = (x + 2)(x - 2)

A) is not prime

3x^2(x + 1) - 2(x + 1)       x + 1 is a common factor

(3x^2 - 2)(x + 1)

B) Not sure. I'll look at the rest. It has a common divisor (x - 1) which turns the result into 0. I don't think you've likely taken this yet, but the answer is        (x - 1)(3x^2 + x + 1), so although this one is not prime, it is not done the same way as the other three. It likely is the answer, but I sure would be tempted to report it to your instructor.

C) 3x^2(x + 1) - 2(x + 1)   x + 1 is a common factor. C is not the answer.

D D is done the same way that A and C are done.

4x^2(x + 1) - 3(x + 1) and x + 1 is a common factor.

So the answer might be B. It doesn't look like it factors the same way as the other three

Answer: D. 2x4+x3–x+2 is prime

Step-by-step explanation:

A prime polynomial is a polynomial that can't be factored. Hope I helped