Find mWYZ as well Find mACB please help with both. Thank you every much! Triangles, Need help, right now I’m does adding more stuff so it can stop saying 20 characters.

Find MWYZ As Well Find MACB Please Help With Both. Thank You Every Much! Triangles, Need Help, Right

Answers

Answer 1

Answer:

m<WYZ = 23°

m<ACB = 87°

Step-by-step explanation:

Problem 1: Find WYZ

Given,

m<WVX = (3x - 7)°

m<VYZ = (16x - 3)°

∆WYZ ~ ∆WVX, therefore:

m<WYZ = m<WVX (corresponding angles of similar triangles are congruent)

m<WYZ = (3x - 7)° (substitution)

Create an equation to find the value of x.

m<WYZ + m<VYZ = 180° (linear pair)

(3x -7)° + (16x - 3)° = 180° (substitution)

Solve for x

3x - 7 + 16x - 3 = 180

Add like terms

19x - 10 = 180

Add 10 to both sides

19x - 10 + 10 = 180 + 10

19x = 190

Divide both sides by 19

19x/19 = 190/19

x = 10

m<WYZ = (3x - 7)

Substitute x = 10

m<WYZ = 3(10) - 7 = 30 - 7

m<WYZ = 23°

Problem 2: Find m<ACB

Given,

m<A = 62°

m<AED = (11x - 2)°

m<B = (6x + 13)°

∆ADE ~ ∆ACB, therefore:

m<AED = m<B (corresponding angles of similar ∆s are congruent)

(11x - 2)° = (6x + 13)°

Solve for x

11x - 2 = 6x + 13

Collect like terms

11x - 6x = 2 + 13

5x = 15

Divide both sides by 5

5x/5 = 15/5

x = 3

m<ACB + m<B + m<A = 180° (sum of ∆)

m<ACB + (6x + 13) + 62° = 180° (substitution)

Plug in the value of x and solve

m<ACB + (6(3) + 13) + 62° = 180°

m<ACB + (6(3) + 13) + 62° = 180°

m<ACB + (18 + 13) + 62° = 180°

m<ACB + 31° + 62° = 180°

m<ACB + 93° = 180°

Subtract 93 from both sides

m<ACB = 180° - 93°

m<ACB = 87°


Related Questions

Factor 6(×)^3+43(×)^2+79(×)+12

Answers

The answer is (6x+1)•(x+4)•(x+3)

Find the set of solutions for the linear system Use s1, s2, etc. for the free variables if necessary. ,

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Answer and explanation:

Please find attached

HELP URGENT !!!!!!!!!!!

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The answer is B. -14*1=-14 and -14+1=-13.
I believe the answer is B. Please correct me if I’m wrong! Good luck!

Robin Hartman earns $600 per week plus 3% of sales over $6,500. Robin's week sales are $14,000. How much does Robin earn

Answers

Answer:

$825

Step-by-step explanation:

Given that :

Weekly earning = $600 plus 3% of sales over $6500

If weekly sales = $14000

How much will Robin earn

Robin's earning will be:

Flat weekly pay + 3% of amount over 6500

$600 + 3%(weekly sales - 6500)

$600 + 0.03(14000 - 6500)

$600 + 0.03(7500)

$600 + $225

= $825

How do you Graph: -3x – 2y = -8

Answers

Answer:

I hope this helps!

Answer:

y = -2/3x +4 --> y = mx+b form

Step-by-step explanation:

-3x-2y = -8 --> add 3x to both side

-2y = 3x-8 --> divide by -2 on both side

y = -2/3x +4 --> y = mx+b form

the y intercept is 4 and the slope is -2/3, down 2, right 3.

therefore, the graph would contain a y intercept point of (0,4) and then from there u would start plotting down 2, going right 3 unit or up 2 and left 3 units. Then when u plotted at least 2/3/4 points, use a straightedge to draw the line.

13) What angle will a 5 meter ladder make with the ground if it reaches 4.2
meters up the wall? Round to the nearest degree.

Answers

Answer:

57°

Step-by-step explanation:

The ladder will be the hypotenuse while the 4.2 meters will be a leg.

We want the angle between the ground & the ladder. Therefore, 4.2 is on the opposite side of the angle.

sin(theta) = opposite/hypotenuse

sin(theta) = 4.2/5

theta = arcsin(4.2/5)

theta = 57°

I believe the answer would be 57° :)

Is 17/5 + square root of 64 greater than 8 + pi?

Answers

Answer:

I'm probably wrong 69??? Yea I'm definitely wrong

insert 6 A . M's between 15 and -13​

Answers

Answer:

15, 11, 7, 3, -1, -5, -9, -13

Step-by-step explanation:

Inserting Arithmetic Means (AM's)

Suppose we want to insert n equally-spaced numbers inside a given interval with endpoints [x,y].

To place n numbers, we need to open n+1 spaces, at the end of which, a new number will be placed. The given interval is then divided into n+1 rational numbers of a value (y-x)/(n+1).

We need to insert 6 AM's between 15 and -13. Each AM will be inserted at a space of (-13-15)(6+1)=-28/7=-4.

Thus the sequence is formed subtracting 4:

15

15-4=11

11-4=7

7-4=3

3-4=-1

-1-4=-5

-5-4=-9

-9-4=-13

The sequence is (numbers in bold are the AM's):

15, 11, 7, 3, -1, -5, -9, -13

write equivalent fractions for 3 2/3 and 1 4/5 using 15 as the common denominator

Answers

Answer:

3 2/3 will be 3 10/15

1 4/5 will be 1 12/15

Divide 3 into 15 and get 5; 5 x 2 = 10

Divide 5 into 15 and get 3; 3 x 4 = 12

So new equivalent fractions are 3 10/15

                                               and 1 12/15

Step-by-step explanation:

The required equivalent fractions for 3 10/15 and 1 12/15.

Given, two mixed fractions 3 2/3 and 1 4/5, determine equivalent fractions using 15 as the common denominator.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
First
= 3 2/3
= 3 + 2 / 3
= 3 + 2 × 5 / 3 × 5
= 3 + 10 / 15

Second,
= 1 4 / 5
= 1 4 × 3 / 5 × 3
= 1 12/15

Thus, the required equivalent fractions for 3 10/15 and 1 12/15.

Learn more about simplification here: https://brainly.com/question/12501526

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Suppose you have 24 CDs. You know that you have 7 more CDs than your friend. Write and solve an equation to find the number of CDs your friend has.

a. 24 + 7 = n; 31
b. 24 + n = 7; –17
c. n + 7 = 24; 17
d. n – 7 = 24; 31

Answers

It’s c hope this helped

What is the value of name and tell the value of the underline digit. The number is 25,678 the underline digit is 5.

Answers

It’s the thousands place and the value is 5,000

don’t look at graph... can someone answer

Answers

Answer:

Pretty much, it's just 46 times 7. So, you can do 322 jumping jacks in 7 minutes.

Please mark me as Brainliest, I need it to move onto the next level. =D

Analysing the Question:

We are given the function:

f(x) = 46x

where x is the number of minutes and f(x) is the number of jumping jacks in the given number of minutes

Number of jumping jacks in 7 minutes:

replacing x with number of minutes (i.e, 7). We get:

f(7) = 46*7

f(7) = 322 jumping jacks

Three workers arrive at work 15 minutes late, at a cost of $11 hour.

Answers

Answer:

They earned 8.25

Step-by-step explanation:

If they arrived late 15 minutes, then they lose a 1/4 of the pay. So they'd be making $8.25, and not the full $11 for that first hour.

Two cars start traveling in the same direction around a circular road that is 80 km long. The speed of one car is 92 km/h and the sped of the other is 68 km/h. b How many minutes after the two cars start traveling will one car lap the other for the second time?

Answers

Answer:

200 minutes

Step-by-step explanation:

So we know that the speed is 92 km/h for the first car and 68 km/h for the second car. We do not know the time, but we do know that we need to convert it into minutes. The time for both cars would be x/60. Now we multiply speed by time and get distance. The first car would be 92 x/60 and the second would be 68 x/60, now we cross multiply and make an equation. 92x/60 - 68x/60 = 80, 24x = 80, x=200 minutes.

Numbers with zeros
A cleaning service orders 7 large bottles and 5 small bottles of a cleaning product.
Each large bottle has 122 ounces. Each small bottle has 68 ounces.
Which is the best estimate of the total amount of cleaning product the cleaning service orders?
A 800 ounces
w
B. 1.200 ounces
C. 1,600 ounces
o
D. 2.000 ounces

Answers

B and I hope this helps

Jin adds 1 gallon of a water-and-bleach mixture that is 4% bleach to 2 gallons of a
water-and-bleach mixture that is 10% bleach. What percent of the final mixture is bleach?

Answers

Answer:

0.08%

(might be wrong)

Step by step explanation:

0.04•1+0.10•2=3•x

0.04+0.2=3x

0.24=3x

x=0.08

Not sure if this is right

Answer: 8

Step-by-step explanation:

Explain whether the points (−13,4), (−7,3), (−1,2), (5,1), (11,0), (17,−1) represent the set of all the solutions for the equation y=−16x+116.

Yes, because all the solutions of y=−16x+116 need to be integer values for x and y.

Yes, because all of the points that are listed are on the line y=−16x+116.

No, because the set of all solutions of y=−16x+116 is represented by the line of the equation.

No, because the point (17,−1) is not on the line that represents the equation y=−16x+116.

Answers

Answer:

No, because the set of all solutions of y=−16x+116 is represented by the line of the equation.

Step-by-step explanation:

if a person ran 1/2 of a mile in 1/10 of an hour. How far will the person run in one (1) hour?

Answers

Step-by-step explanation:

In 1/10 of 1hr = 1/2 mile

10*(1/10) of 1hr = 10(1/2) mile

(10/10) of 1hr = (10/2) mile

1 of 1hr = 5mile

It says, he can run 5 miles in 1 hour

I NEED HELP HERE ASAP, I’m giving brainliest to the right one. I forgot how to solve this:/

Answers

Answer:

28 weeks

Step-by-step explanation:

It says that $42 was 1/3 of her total. So you multiply $42 by 3 and you get $126. You now divide $126 by her weekly allowance, $4.5, and the answer is 28.

1. $42 x 3 = $126

2. $126/$4.5 = 28

3. The answer is Sharon has been saving her allowance for 28 weeks.

Hope this helps!

-Jerc

Answer:

She has been saving her money up for 28 weeks.

Step-by-step explanation:

1. If 42 is 1/3 of her money, then you would multiply 42 by 3 to get the full 3/3 so: 423=126

2. Next, you would divide $126 by $4.50 because that is the total amount of money divided by how much she saved up each week, so: 126/4.5=28 and that gives us the answer which is 28.

Judge the following reasoning as true or false.
You are working for a tech company. You came up with an algorithm that performs a needed operation on n inputs in order of n operations. Someone else in the company simultaneously came up with an algorithm that performs the same task in order of log(n) operations. Then it follows necessarily that your algorithm will require more operations to perform this task and is therefore inferior and should not be used.
a) true
b) false

Answers

Answer: B

Step-by-step explanation:

ANSWER PLSS!! What type of number is 8/2
A) whole number
B) integer
C) rational
D) irrational

Answers

Answer:

A) whole number

B) integer

C) rational

Step-by-step explanation:

8/2 simplifies to 4

4 is a whole number

a whole number is an integer

an integer is rational

it is not irrational since it can be written as a fraction

Find the value of x
A.9
B.18
C.45
D.90

Answers

9514 1404 393

Answer:

  B.  18

Step-by-step explanation:

The vertical angles are supplementary to the same angle.

  4x +(2y+x) = 180

  (2y-x) +(2y+x) = 180

We can solve the second equation first to find the value of y:

  4y = 180 . . . . simplified

  2y = 90 . . . . .divide by 2

Substituting into the first equation, we have ...

  5x +2y = 180

  5x +90 = 180

  5x = 90

  x = 18  . . .  matches choice B

Please help me ..................

Answers

1)
a)E
b)D
c)A

2)Between 3 and 4
decimal estimate is 3.6

3)Between -12 and -13
Decimal estimate is -12.25

4)5.48 or 5.5inches

5)32 feet

6)B

7)C

The answers are shown below:

What is square root?

The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents.

Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 32. Here, the exponent is 2, and we call it a square. Now when the exponent is 1/2, it refers to the square root of the number. For example, √n = n^1/2, where n is a positive integer.

a) point E represent √47 ( 6.855)

b) point D represent √27 ( 5.19)

c) point A represent √11 ( 3.316)

√13(3.6050 lies between 3 and 4.

-√150 (12.247) lies between (-12 and -13)

side = √area= √30 = 5.477 inch

√90=9.48 ( option b)

The incorrect statement is √12 lies between 4 and 5

Learn more about square root here:

https://brainly.com/question/3120622

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What distance will a car traveling at a speed of 15 m/s cover in 300 s?

Answers

Distance formula: d = st

d = 15 * 300

d = 4,500m

So they will travel 4,500m! Have a nice day and mark brainliest if possible :)

[tex] \red { \green {\boxed {\boxed{Answer}}}}[/tex]

[tex]4500 \: m[/tex]

Step-by-step explanation:

[tex]d = s \times t[/tex]

[tex]s = 15[/tex]

[tex]t = 300[/tex]

[tex]d = 15 \times 300[/tex]

[tex]d = 4500[/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

Solve the equation 3 + x/-2 =10

Answers

3+x/-2 =10

x/-2 = 10-3

x/-2 = 7

x = 7*-2

x = -14

Answer:

x= -14

Step-by-step explanation:

Solve the following step by step

Answers

Answer:

12

by-step explanation:

Multiply both sides by 3. 9x + 21 = 2x + 13
Take away 2x from both sides to get 7x + 21 = 13
Take away 21 from both sides to get 7x = 8
Now divide both sides by 7.
X must be 1 1/7

Use a factor rainbow to determine if 729 is a perfect square. Explain your reasoning.

Answers

Answer:

729 is a perfect square

Step-by-step explanation:

because 27 * 27 = 729

solve for x: x²/x-3=x+2/2x-5​

Answers

Answer:

x=2

Step-by-step explanation:

x2

x

+−3=x+x+−5

Multiply all terms by x and cancel:

x2+−3x=xx+xx+−5x

x2−3x=2x2−5x(Simplify both sides of the equation)

x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)

−x2+2x=0

x(−x+2)=0(Factor left side of equation)

x=0 or −x+2=0(Set factors equal to 0)

x=0 or x=2

Check answers. (Plug them in to make sure they work.)

x=0(Doesn't work in original equation)

x=2(Works in original equation)

Answer:

x=2

What is the climate like in summer of the Middle Atlantic states?
cool
temperate
hot
cold

Answers

Answer:

The passage says "Summers are hot and winters are cold in the Middle Atlantic states." so the answer is hot

Consider the diagram.
What is the length of segment AB?
A) 7
B) 9
C) 18
D) 25

Answers

Answer:

the answer is 9

Step-by-step explanation:

Answer: the correct answer is 9!!!!!

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