Consider WXY and BCD with X= C, WX = BC, and WY = BD. Can it be concluded that WXY = BCD by SAS?

Answers

Answer 1

Answer:

nswer:- B. No, because the corresponding congruent angles listed are not the included angles. Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD. We can see that ∠X and ∠C are not included angles by the corresponding equal sides.

Answer 2

Answer:

Yes

Step-by-step explanation:

I will write it in the form of a theorem

Given:

X=C; WX=BC;WY=BD

To prove:

WXY = BCD

Proof:

X=C (This is a angle)

WX=BC

WY=BD

Since there is an angle between two equal side for both triangle WXY is congruent or '=' BCD ny SAS.


Related Questions

In ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°. Find the length of s, to the nearest centimeter.

Answers

Answer:

3315

Step-by-step explanation:

delta math

In ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°. Then the length of s is 3425.8 cm

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°.

We need to find length of S

From angle sum property the sum of three angles is 180 degrees.

∠S+∠T+∠U=180 degrees

∠S+49°+14°=180°

∠S+63°=180°

∠S=117°

Now use Sine rule

SinU/U=SinS/S

Sin14/900=sin117/S

S=900×Sin 117/sin 14

S=3425.8 cm

Hence,  the length of s is 3425.8 cm

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The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 1300 voters in the town and found that 45% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim?

Answers

Answer:

We reject H₀ , we found enough evidence to support the claim

Step-by-step explanation:

Sample size   n = 1300

Sample  proportion  p  = 45 %     p  = 0,45   and   q  = 0,55

Proportion of population     p₀   =  42 %    p₀  = 0,42

Hypothesis Test                

Null Hypothesis                            H₀          p  =  0,42

Alternative Hypothesis                Hₐ          P   >  0,42      

A one-tail test to the right is needed to evaluate the claim

Sample size big enough to consider binomial distribution can approximate to normal distribution

1300*p > 10   1300*q > 10

Significance level   α  = 0,02    

z(c) fom  z-table is   z(c) =  2,05

To compute

z(s)  =  ( p  -  p₀ )  /√ (p*q)/n

z(s)  = ( 0,45 - 0,42 ) /√ (0,45*0,55)1300

z(s)  =  0,03 / 0,014

z(s)  =  2,14

Comparing   z(c)  and  z(s)     z(s) > z(c) then  z(s) s in the rejection region we must reject H₀  we found enough evidence to spport the claim

0.9 written as a fraction

Answers

Answer:

9/10

Step-by-step explanation:

90%

Answer:

The answer for this question is 9/10

in a college biology class, only half of the class earned a passing grade. Out of all the students, 25% studied and passes. What is the probability of someone having studied, give that they passed?

Answers

Answer:

17.5%

Step-by-step explanation:

take 25% x 1/2..............

How many ways can the letters of the word snow be arranged horizontally so that the letters n and o are always immediately next to each other

Answers

Answer:

6 times

Step-by-step explanation:

nosw

swno

wsno

nows

snow

wnos

Solve 3[-X + (2 x + 1)] = x-1.

Answers

Answer:

x=-2

Step-by-step explanation:

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

[tex]3[-x+(2x+1)]=x-1[/tex]

[tex]-3x+3(2x+1)]=x-1\\-3x+6x+3=x-1\\3x+3=x-1\\2x+4=x\\2x+4=0\\2x=-4\\x=-2[/tex]

write an equivalent expression 3c + 7 + 12d - 6d + 4c + 5 = ?c + ?d + ?​

Answers

Answer:7c +6d +12

Step-by-step explanation:3c + 7 + 12d - 6d + 4c + 5 = ?c + ?d + ?​

                                       3c + 4c  +12d - 6d +7 +5

                                       = 7c +6d +12

You combine like terms which are 3c and 4c which gives you 7c .Next you combine 12d and 6d but this time u need to subtract since it has subtact sign in between 12d and 6d which gives you 6d.After that you combine 7 and 5 which u get 12 .Lastly you put all of the tersm together which are 7c and 6d and 12 which get you 7c +6d +12  as your equivalent expression.

Please give brainliest if it helps :)

When rounding what is 24.2 divided by 42

Answers

Answer:

The answer is 0.576190476 Estimated.

Step-by-step explanation:

Answer:

0.58 or 0.6

Step-by-step explanation:

0.576

16. Solve for C: 6c - 1 - 4c = -49

Answers

Answer:

c = -24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Step-by-step explanation:

Step 1: Define

6c - 1 - 4c = -49

Step 2: Solve for c

Combine like terms:                     2c - 1 = -49Isolate c term:                               2c = -48Isolate c:                                        c = -24

express 20cm as a percentage of 3m​

Answers

Answer: [tex]\frac{20}{3} %[/tex]%

Step-by-step explanation:

Convert 3m to cm:

[tex](3m)(\frac{100cm}{1m} )=300cm[/tex]

Now divide 20cm by 300cm:

20cm/300cm=1/15

Multiply (1/15) by 100% to convert the fraction to a decimal:

(1/15)(100%)=[tex]\frac{20}{3} %[/tex]%

The ratio of dogs to cats is 2 to 3. There are 10 pets total. How many dogs are there? How many cats are there?

Answers

6 Dogs and 4 cats

explanation - with the 2:3 ratio, multiplying by two gives us 4:6, and combined (4+6) is 10


[tex]x \: \: is \: half \: of \: y[/tex]

Answers

Answer:

x is half of y

[tex] \huge \boxed{x = \frac{y}{2} }[/tex]

Answer:

2x=y

Step-by-step explanation:

Since x is half of y, 2x=y

Hope this helps :D

A company policy requires that, for every 30 employees, there must be 3 supervisors. If there are 285 supervisors at the company, how many employees does the company have?

Answers

Answer:

2850 employees

Step-by-step explanation:

Given that ,

3 supervisors = 30 employees

1 supervisor = 30/3 employees

285 supervisors = 30 / 3 × 285 employees

285 supervisors = 10 × 285 employees

285 supervisors = 2850 employees( Answer)

Help, please. I'm in math class right now and I only have a few mins left of the course.

Answers

Answer:

60

Step-by-step explanation:

180-(100+20)=x

x=60

Solve the problem

Find the break-even cost and revenue equations. Round to the nearest whole unit.
C = 15n + 269,000
R = 95n

a. 80
b. 2445
c. 3363
d. 110​

Answers

Answer:

C. 3363

Step-by-step explanation:

I calculated logically

Answer:

C

Step-by-step explanation:

Which point on the graph represents the y-intercept?

On a coordinate plane, a line goes through points V (negative 4, 4), W (0, 2), Y (2, 1), Z (4, 0).

Answers

Answer:

the answer is A

Step-by-step explanation:

I just took the test and A was the correct answer

A2 + B2 = C2:
13 squared plus b2 equals 18 squared. What is the answer? Please show the work.

Answers

Answer:

Solving [tex](13)^2+(b)^2=(18)^2[/tex] we get [tex]\mathbf{b=\sqrt{155},b=-\sqrt{155}}[/tex]

Step-by-step explanation:

13 squared plus b2 equals 18 squared. What is the answer?

We can write it as:

[tex](13)^2+(b)^2=(18)^2[/tex]

Now, solving and find value of b

We know that 13² = 169

and 18² = 324

Putting values:

[tex](13)^2+(b)^2=(18)^2\\169+b^2=324[/tex]

Subtract 169 on both sides

[tex]169+b^2-169=324-169\\b^2=155[/tex]

Now, taking square root on both sides

[tex]\sqrt{b^2}=\sqrt{155}\\b=\pm\sqrt{155}\\b=\sqrt{155},b=-\sqrt{155}[/tex]

So, solving [tex](13)^2+(b)^2=(18)^2[/tex] we get [tex]\mathbf{b=\sqrt{155},b=-\sqrt{155}}[/tex]

plz help!!!

Four gallons of water weigh 33.4 lb

Find the constant of variation.

Answers

Answer:

[tex]k = 8.35[/tex]

Step-by-step explanation:

Given

[tex]Gallons = 4[/tex]

[tex]Weight = 33.4lb[/tex]

Required

Determine the constant of variation (k)

This is calculated by dividing the weight of gallons by the number of gallon.

[tex]k = \frac{Weight}{Gallons}[/tex]

Substitute values for Gallons and Weight

[tex]k = \frac{33.4}{4}[/tex]

[tex]k = 8.35[/tex]

This means that 1 gallon weighs 8.35lb

HELP
Write an equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1

Answers

The line is parallel so it has the same slope as the other line, -4.

Substitute the x and y variables with the given points and find the y-intercept.

(-8, 6)

y = -4x + b

6 = -4(8) + b

6 = -32 + b

6 + 32 = b

38 = b

So the equation is:

y = -4 + 38

The line is parallel so it has the same slope as the other line, -4.

Substitute the x and y variables with the given points and find the y-intercept.

We have given that,

An equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1

(-8, 6)

What is the slope-intercept form?

y=mx+b

Where m is the slope

y = -4x + b

6 = -4(8) + b

6 = -32 + b

6 + 32 = b

38 = b

So the equation is y = -4 + 38.

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In the formula for the area of a circle, what gets multiplied by r?

Answers

Answer:

A. r²

Step-by-step explanation:

The formula for the area of a circle is π r²,

thus the π is multiplied by the r²

Work out the area of a circle with a radius 7.5cm take pie to be 3.142. Give your answer 2 decimal places

Answers

Answer:

176.74 cm^2

Step-by-step explanation:

Area of a circle is πr^2

r= 7.5

π= 3.142

Area=3.142× 7.5^2

= 3.142 × 56.25

= 176.74 cm^2

Hence the area if the circle is 176.74cm^2

SOMEONE PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!

Answers

Answer:

5.8

Step-by-step explanation:

c=(square root of 5^2 + 3^2)

In Jamie's closet the ratio of pairs of boots to pairs of sneakers is 3:6. If she has 6 more pairs of sneakers
than boots, how many pairs of boots does she have?

Answers

jamie has 6 pairs of boots.

the ratio 3:6 is equivalent to 1:2. for every 1 boot there are 2 sneakers. so, 12/2 = 6.

Chuck made $13.90 per hour, gets a 12% raise, and works 40 hours per week. Will he now earn at least $600 per week?


A: No, he will earn $556 each week.

B: No, he will only earn $66.72.

C: No, he will earn $489.28 each week.

D: Yes, he will earn $622.72 each week.

Answers

I might be wrong but I'm gonna go with

D is my answer

Tell if it’s linear or not, plz help it has a timer :(

Answers

Answer:

Only B is linear

Step-by-step explanation:

Simplify the equation
B^-7/b^4

Answers

[tex] {b}^{3} [/tex]

Step-by-step explanation:

[tex] = \frac{ {b}^{7} }{ {b}^{4} } [/tex]

[tex] = {b}^{(7 - 4)} [/tex]

[tex] = {b}^{3} [/tex]

4) Round 475,391 to the nearest...
1)10,000.
2)100,000.
3) 1,000.

Answers

Answer:

1) 480000

2)500000

3)475000

Step-by-step explanation:

To round it to the nearest 1000 you would find the 1000s digit which is 5 and look at the digit to the right and if it is under 5 than the 1000s digit stays the same and everything to the right turns to a zero so than you can apply that concept to the rest of the problems so you get

1) 480000

2)500000

3)475000

Suppose that many large samples are taken from a population and that the
sample proportions are normally distributed, with a mean of 0.22 and a
standard deviation of 0.029.99.7% of the sample proportions will fall within
which of the following intervals?

Answers

Answer:

99.7% of the sample proportions will fall between 0.133 and 0.307.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 0.22

Standard deviation = 0.029

99.7% of the sample proportions will fall within which of the following intervals?

Within 3 standard deviations of the mean.

Lower end: 0.22 - 3*0.029 = 0.133

Upper end: 0.22 + 3*0.029 = 0.307

99.7% of the sample proportions will fall between 0.133 and 0.307.

PLS HELP ASAP GIVING BRAINLIEST

Plot 1 2/5, −12, and −2 1/10 on the number line.

Answers

Answer:

Here is the answer.

Step-by-step explanation:

Here is the answer with all of them

Find the Measure of angle O
(see image)
Only real answers, please

Answers

Answer:

From the given figure we can see that :---

MN||PO, MN=PO and MP=NO

Therefore, angle M=angle N (adjacent sides of the trapezoid)

[tex](8x - 16) = (6x + 20) \\ 2x = 36 \\ \boxed{x = 18}[/tex]

angle M=angle N= (6×18)+20=108+20 =128°

angle O =(180°-128°)=52°

Hence, angle O is 52°.
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