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.
Answers
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
Let z = 9 – 2i and zw = 25 + 70i.
What is w?
1 + 8i
1 – 8i
–1 + 8i
–1 – 8i
Answers
Answer:
1+8i
Step-by-step explanation:
Given, complex numbers z = 9 – 2i and zw = 25 + 70i. w = 1 + 8i.
What are complex numbers?In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit, and satisfying the equation i² = −1.
= (9 - 2i)(1 + 8i)
= 9 + 72i - 2i -16i^2
= 9 + 70i + 16 (i^2 = -1)
= 25 + 70i
Learn more about complex numbers here
https://brainly.com/question/10251853
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It costs $19.50 for postage and $5 for insurance to send a one-pound box by Express Mail.
How much does it cost to send 12 one-pound boxes by Express Mail?
Answers
Okay so you would take 19.50 and add the 5 dollar insurance giving you 24.50. Then you’d take the 24.50 and multiply it by 12 giving you 294 dollars
Really hope I got that right
This is a 2x2 identity matrix:
True
Or
False
Answers
Answer:
i think it is false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
An identity matrix has a 1 in each position of the main diagonal (diagonal from upper left to lower right) and zeros elsewhere. This matrix has the 1s and 0s in the wrong places to be an identity matrix.
This is what a 2x2 identity matrix looks like:
[tex] \begin{bmatrix} 1 & 0\\ 0 & 1\end{bmatrix} [/tex]
A shirt is on sale for 25% off, and the total comes out
to $15. What is the original price?
Answers
Answer:
$18.75
Step-by-step explanation:
Answer all parts please.
Answers
Answer:
no
Step-by-step explanation:
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jacobs exercise goal last month was to do 2,000 push ups and 2,500 sit ups. He reached 3/4 of hosgoal for push ups and 9/10 of his goal for sits ups. How many combined push ups and sit ups did jacob do last month?
Answers
Answer: 1930
Step-by-step explanation:
Answer:1930
Step-by-step explanation:
Rob lost 24 lounds in 6 months of his diet, then lost 16 pounds in 2 months. Find his average weight lost.
Answers
Answer:
4 pounds a month
Step-by-step explanation:
is that what you're looking for
The average weight lost per month is 5 pounds.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Rob lost 24 pounds in 6 months of his diet, then lost 16 pounds in 2 months.
Total weight lost = 24 + 16 = 40 pounds
Total time taken to lose the weight = 6 + 2 = 8 months
Average weight lost = Total weight / Total time
= 40 / 8
= 5
Hence there is a weight of 5 pounds lost per month.
To learn more about Division, click on the link given below :
https://brainly.com/question/21416852
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Show every subsequence of a subsequence of a given sequence is itselfa subsequence of the given sequence. Hint: Define subsequences asin (3) of Definition 11.1 g
Answers
Answer: Suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex] ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required.
Step-by-step explanation:
If you suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all representing three sequences respectively, and you also suppose that [tex]A_{n}[/tex] is a subset (in other words subsequence) of [tex]K_{n}[/tex] and [tex]K_{n}[/tex] is a subset (in other words subsequence) of [tex]S_{n}[/tex], where n takes its values from the set of positive integers. We can safely say that [tex]A_{n}[/tex] is a subsequence of [tex]S_{n}[/tex] and this can demosnstrated mathematically as follows:
Suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex] ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required.
What is the slope of the line passing through the points (-3, 4) and (2, - 1)?
Answers
Answer:
slope = -1 or -x
Step-by-step explanation:
Do y2-y1/x2-x1
Plug in
-1 - 4/ 2 - -3 = -5/5
(Simplify)
-1 so the slope is
-1 or -x
If you want to find the equation use one of the points you have.
4 = -1(-3) + b
4 = 3 + b (subtract 3 on each side)
1 = b
y = -1x + 1 is the equation
explanation:
m = y2 - y1
————
x2 - x 1
(x1,y1) = (-3,4) -1 - 4 -5
———————. -> ———- = ——- = -1
(x2,y2) = (2,-1). 2 - ( -3) 5
what is the price of a 12 dollar game 30% off
Answers
Answer:
$8.40
Step-by-step explanation:
12x.30=3.6
12-3.6=$8.40
Answer:
8.4
Step-by-step explanation:
30% of 12 = 3.6
12 - 3.6 = 8.4
Which set of ordered pairs represents a function?
o {(1,3) (2,5) (4, 9) (4, 13)}
o {(1,3) (1,5) (4, 9) (6,3)}
o {(1,3) (2,5) (2,9) (6, 13)
o {(1,3) (2,5) (4,9) (6,5)}
pls help
Answers
Need a step by step answer please
Answers
Answer:
x=10
Step-by-step explanation:
x+2+x=22
combine like terms x + x to get 2x:
2x + 2 = 22
subtract 2 on both sides:
2x = 20
divide by 2 on both sides to isolate x:
x=10
I WILL BRAINLIST ITS ONLY ONE PROBLEM !!!!!!!!!!!!!!!
Answers
Answer:
11/200
Step-by-step explanation:
This is the correct answer boo
Do you think that T I K T O K will be not allowed to operate in the United States?
Explain.
Answers
Answer:
Step-by-step explanation:
I think it will not because there are a lot of tiktokers and a big amount of tik tok users
Answer:
yes
Step-by-step explanation:
If 6 pounds of apples cost $9, how much would 21 pounds of apples cost?
Answers
Answer:
$31.50
Step-by-step explanation:
divide 9 by 6 to get the price per pound ($1.50), then multiply that by 21 to get the close of 21 pounds of apples ($31.50)
Prove that cos x + cos 3x + cos 5x + cos 7x = 4cos x cos 2x cos 4x
Answers
Step-by-step explanation:
Prove the following?
cos7x+cos5x+cos3x+cosx=4cosxcos2xcos4x
2
SEE ANSWERS
Answer
3.4/5
36
LHS=cos7x + cos5x + cos3x + cosx
=2cos[(7x+5x)/2].cos[(7x-5x)/2] + 2cos[(3x+x)/2].cos[(3x-x)/2]
[∵ cosA + cosB = 2.cos[(A+B)/2].cos[(A-B)/2]]
=2cos[(12x)/2].cos[(2x)/2] + 2cos[(4x)/2].cos[(2x)/2]
=2cos 6x.cosx+2cos2x.cosx
=2cosx(cos 6x+ cos 2x)
=2.cosx(2cos[(6x+2x)/2].cos[(6x-2x)/2]
=2.cosx(2cos4x.cos2x)
=4.cosx.cos2x.cos4x
=RHS.
hope this helps you!!!!! :))))))))
The m 3 +m 5 =180 true false will mark brainest
Answers
Answer:
true I'm positive that the correct answer
Answer:
TrueStep-by-step explanation:
∠3 and ∠5 are supplementary internal angles that adds up to 180
so ∠3 + ∠5 = 180
Word division problem using 5 as the divisor
Answers
Answer: a divisor is a number by which another number is to be divided.
There are 20 slices of pizza. There are 5 people. How many slices does each person get?
Answer: There were 50 chocolate bars on display at the candy store. All 50 chocolate bars were distributed evenly between 5 children. How many chocolate bars would each child receive?
A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows.
Production Requirement by Product
Department
(hours)
Departmental Capacity
(total hours)
A
B
Assembling
2
30,000
Painting
1
38,000
Finishing
2
28,000
What is the maximum profit in this model?
3
ONN
2
1
O A. $57,000
OB. $95.000
C. $225,000
D. $75,000
Answers
9514 1404 393
Answer:
C. $225,000
Step-by-step explanation:
The utilization for each department must be at most the available capacity. Each product quantity must be non-negative.
You could almost guess the answer here because the profit on product C is so much higher than for the others.
Profit is maximized by producing as much of product C as possible. That quantity is limited by the assembly hours constraint: 2C ≤ 30,000. This permits production of 15,000 units, so gives a profit of ...
$15·15,000 = $225,000 . . . maximum profit
apple music sells music online. yesterday, its customers downloaded a total of 7,950 songs. today, they downloaded 5,883 songs. billy says that the percent of decrease in the two-day count of downloads is 35%. is billy correct or incorrect? explain your answer in a complete sentence.
Answers
Answer:Billy is correct
Step-by-step explanation:
check whether (x+7) is a factor of (x^2 +4x - 24). Give reason
Answers
So substitute the number (-7) to (x^2+4x-24)
Factors are the numbers used to multiply. True False
Answers
Answer:
True
Step-by-step explanation
Please help people!!!!! I’m stupid
X=8(1+2+3+...+49)+1225
Answers
What is the z-score for Paula If she got 1400 on the SAT, the mean was 1100 and the
standard deviation was 275?
Answers
1400-deviation=275
Help, Plz explain!!!
Answers
Answer:
B. 40
Step-by-step explanation:
y varies directly as x
y=kx, k is a constant
when x=8, y=5. k*8=5
k=5/8
When x=64,
y= 5/8 * 64
y= 40
Answer:
I think the answer will be C 61
Step-by-step explanation:
y=5 when x=8
8-3=5
x=64 y=?
64-3=61
will mark brainliest:) helppppp -7x + y = -19 -2x+ 3y = -19 solve the system of equations
Answers
Answer:
X=2, Y=-15
Step-by-step explanation:
-7x+y=-19
-2x+3y=-19
------------------
-3(-7x+y)=-19
-2x+3y=-19
---------------------
21x-3y=57
-2x+3y=-19
---------------------
19x = 38
19x/19=38/19
x=2
now plug 2 into x of the second equation to get y=-15
Nick's sister is 7 years less than twice Nick's age, a. The sum of Nick's age
and his sister age is 41. Which equation represents this relationship?
Answers
Answer: a+(2a - 7) = 41
Step-by-step explanation:
Let be "a" the Nicci's age and "s" the Nicci's sister.
You know that the sum of Nicci's age and her sister's age is 41. This can be represented with the following equation
Write the even numbers between 38 and 50.
Answers
Answer:
38,40,42,44,46,48...50
Step-by-step explanation:
even numbers are numbers that can be divided by 2 without any remainders
so the even numbers btw 38_50 are above✌
Darron has 293 cards. he buys 8 more packages of cards that each have 8 cards in them. How many cards does Darron has now?
Answers
Answer:
357 cards
Step-by-step explanation:
Multiply packs by card in each pack
8 x 8 = 64
add this value to the cards he had previously and you will get your answer
293 + 64 = 357
Answer:
357 cards
Step-by-step explanation:
8(8)+293= ?
64+293= 357
A box of shredded wheat wheat weighs 0.35 .kg and a box of weetabix weighs 9/25 kg. Which box is heavier? Show your work.
Answers
Answer:
weetablx is heavier
Step-by-step explanation:
lets simplify
wheat wheat - 0.35 kg
weetablx - 9/25
simplify into decimals
wheat wheat- 0.35 kg
weetablx- 0.36 kg
brainliest appreciated!