Complementary angles have a submission of 90 degrees thus :
[tex]angle \: \: A + angle \: \: B = 90°[/tex]
[tex](4x - 28)° + (4x - 8)° = 90°[/tex]
[tex]4x + 4x - 28 - 8 = 90[/tex]
Collect like terms
[tex]8x - 36 = 90[/tex]
Add both sides 36
[tex]8x - 36 + 36 = 90 + 36[/tex]
[tex]8x = 126[/tex]
Divide both sides by 8
[tex] \frac{8x}{8} = \frac{126}{8} \\ [/tex]
[tex]x = 15.75[/tex]
_____________________________________________
Now let's find the measure of A :
[tex]A = 4x - 28[/tex]
[tex]A = 4 \times (15.75) - 28[/tex]
[tex]A = 63 - 28[/tex]
[tex]A = 35°[/tex]
And we're done...
Don't have a good day , Have a great day ♡
Someone please answer this quickly!
Note: T is the center of the circle.
Here is my answer. I hope it is helpful.
Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.
4x + 2 = x + 8 PLZZZZZ
Answer:
Exactly One Solution
Step-by-step explanation:
4x + 2 = x + 8
3x = 6 Simplify.
x = 2 Divide by 2.
Answer:
One solution, x = 2
Step-by-step explanation:
4x + 2 = x + 8 (Given)
4x = x + 6
(The 2 is subtracted from the right side, therefore the left side is also subtracted. 8 becomes 6.)
3x = 6
(The x is subtracted from the right side to the left side. Thus turning the 4x into 3x)
x = 2
(The 3 is divided out to get x alone. So, the 6 has to be divided by 3 as well, turning it into 2)
Express the followingbin the standard form:
(I) 80000
(ii) 0.00000000094
(iii) 467.5
(iv) 50200000000000
(v) 0.00000005837
(vi) 71860000000
help me!
Thank you in advance
(i)Given number = 8000
=8 × 1000
= 8×10³
The standard form of 8000 is 8×10³
(ii)Given number = 0.00000000094
⇛ 94/100000000000
⇛ 94/10¹¹
On multiplying and dividing with 10 then
⇛ (94/10¹¹)×(10/10)
⇛ (94/10)×(10/10¹¹)
⇛ 9.4 × (1/10¹⁰)
⇛ 9.4/10¹⁰
⇛ 9.4×10^-10
The standard form of 0.00000000094 = 9.4×10^-10
(iii) Given number = 467.5
⇛ 4675/10
On multiplying and dividing with 1000 then
⇛ (4675/10)×(1000/1000)
⇛ (4675/1000)×(1000/10)
⇛ 4.675 × 100
⇛ 4.675×10²
The standard form of 467.5 = 4.675×10²
(iv) Given number = 50200000000000
⇛ 502×100000000000
On multiplying and dividing with 100 then
⇛ (502/100)×100000000000×100
⇛ 5.02 ×10000000000000
⇛5.02 × 10¹³
The standard form of 50200000000000 is
5.02 × 10¹³
(v)Given number = 0.00000005837
⇛ 5837/100000000000
On multiplying and dividing with 1000 then
⇛ (5837/1000)×(1000/100000000000)
⇛ 5.837/100000000
⇛ 5.837/10⁸
⇛ 5.837×10^-8
The standard form of 0.00000005837 is 5.837×10^-8
(vi) Given number = 71860000000
⇛7186×10000000
On multiplying and dividing with 1000 then
⇛ (7186/1000)×10000000×1000
⇛ 7.186×10000000000
⇛ 7.186×10¹⁰
The standard form of 71860000000 is 7.186×10¹⁰
Determine what type of model best fits the given situation: A 4% raise in salary each year. A. none of these B. exponential C. linear D. quadratic
Answer: C. linear
Step-by-step explanation:
Since the raise is going to be a constant amount, a 4% raise, the model will be linear.
Correct me if I am incorrect.
Sally bought two shirts that cost $6.99 each. The sales tax rate was 7%. What was the total amount Sally paid?Question 3 options:$0.98$7.48$14.05$14.96
Answer: $14.96
Step-by-step explanation:
13.98 + .98 = 14.96
The total amount paid by Sally is $ 14.96
What is Sales Tax?
The Sales tax is calculated by the equation
Sales tax rate = Sales tax percent / 100
Sales tax = List price x Sales tax rate
Given data ,
List price of the shirt Sally bought = $ 6.99
Number of shirts Sally bought = 2 shirts
Total price of 2 shirts = 2 x 6.99
= $ 13.98
So , List price = $ 13.98
Sales tax rate = 7 %
Total amount paid by Sally = List price + Sales tax
Now , Sales tax is calculated by
Sales tax = List price x Sales tax rate
= 13.98 x 0.07
= 0.9786
Therefore , total amount paid by Sally = List price + Sales tax
= 13.98 + 0.9786
= $ 14.9586
≈ $ 14.96
Hence , the total amount paid by Sally is $ 14.96
To learn more about Sales tax click :
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URGENT!!!!!!!!!!!!!!! :
m(x) = -1/2f(x - 3) - 1
Answer:
-1/2f I think
Step-by-step explanation:
distribute the -1/2
use differentiation rules
calculate all together
then simplify
Hope this helps
The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how many boys there are.
Answer : 52 boys : 26 girls
Step - by - step explanation :
Now we can guess, whatever number we put HAS to be 26 more boys than girls and it has to follow the 2 boys : 1 girl ratio . . .
26 boys : 13 girls <-- this follows the 2:1 ratio but is NOT 26 more boys than girls
52 boys : 26 girls <-- this follows the 2:1 ratio and has 26 more boys than girls ! :D
Can someone please explain how to do the complex algebraic equation? I couldn't find any answers online
Which of the following choices is equivalent to the question 5(2x-1)=5(2x-1)=5(5x-14)?
2x- 1=5x-14
5(2x-1)=5x-14
2x-1=5
None of these choices are correct
Answer:
None of these choices are correct
4/3=8/x-1
Solve the equations
Answer:
= 24/7
Step-by-step explanation:
1. Find common denominator
2. Combine fractions with common denominator
3. Re-order terms so constants are on the left
Consider that your profit-maximizing quantity of 500 can be produced at an average cost per unit of $9 and sold for a market price of $14 What is your profit per unit? What is your total profit?
Based on the quantity sold and the price, the profit per unit is $5 and the total profit is $2,500
The profit made from each unit sold can be found as:
= Market price - Average cost
= 14 - 9
= $5
The total profit would therefore be:
= Profit per unit x Number of units sold
= 5 x 500
= $2,500
In conclusion, the profit per unit is $5 and the total profit is $2,500
Find out more about profit per unit at https://brainly.com/question/25531124.
What is the remainder when (x3 1) is divided by (x2 â€"" x 1)?.
The remainder of the equation is [tex]\rm x+1[/tex].
Given that,
When the equation is [tex]x^3+1[/tex] divided by [tex]x^2-x+1[/tex].
We have to determine,
The remainder for the equation?
According to the question,
The equation [tex]x^3+1[/tex] is divided by [tex]x^2-x+1[/tex].
On the division of the polynomial, the remainder is,
[tex]\dfrac{\rm x^3+1}{x^2-x+1}[/tex]
Factorize the equation to convert this into the simplest form,
[tex]\rm = x^3+1\\\\=x^3-x^2+x + x^2-x+1\\\\= x ( x^2-x+1) + 1(x^2-x+1)\\\\= (x+1) (x^2-x+1)[/tex]
Now, the equation can be written as,
[tex]\rm = \dfrac{(x+1) (x^2-x+1) }{ x^2-x+1}\\\\= x+1[/tex]
Hence, The required remainder of the equation is [tex]\rm x+1[/tex].
For more details refer to the link given below.
https://brainly.com/question/25880057
Answer: a
Step-by-step explanation:
on edge
Rewrite 4/8 : 1/4 as a unit rate pls help
the denominator has to be one so you multiply 1/4 by 4, and 4/8 by 4 also
2:1
Solve for x: 4(x-5) 8. = 9y
Answer:
X=18y+5
EXPLANATION
4(X-5)/8 =9Y
(4X-20)/8 =9Y
4X-20=9Y×8
4X=72Y+20
X=(72Y+20)/4
X=18Y+5
Find y
Find m
Find m
Answer:
y= -21; m∠MNO=40°.
Step-by-step explanation:
1) m∠MON+m∠MNO=90°;
2) -3y-13°-2y-2°=90°;
5y=-105°; ⇒ y= -21;
3) m∠MNO=-2y-2°=42°-2°=40°.
There are 16 pieces of candy. Jack
has 5 empty bogs and puts 3 pieces
of candy nto each bag How many
pleces of candy are left?
Solve for W.
A=6W
help timed
Answer:
w = [tex]\frac{a}{6}[/tex]
Step-by-step explanation:
6w= a
---- ----
6 6
w = [tex]\frac{a}{6}[/tex]
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
There are 32 vanilla cupcakes and 40 chocolate cupcakes at a bakery. All of the cupcakes must be placed in boxes with the same number of vanilla cupcakes and the same number of chocolate cupcakes in each box.
Answer:
5 to 4
Step-by-step explanation:
when it's asking for a ratio it's basically division
chocolate/vanilla = 40/32 = 5/4
5/4 is the same as 5:4 or 5 to 4
HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
thats easy B ur welcome !!!!
Answer:
The answer is B
Step-by-step explanation:
Can someone solve this/give me an answer choice??ASAP if possible
Answer:
Step-by-step explanation:
C is right.
5(a + b + c + d)
when you express it it's gonna be 5a + 5b + 5c + 5d
How was
Figure A transformed
to become Figure A"?
A"
}
1.[
?
]
2.[
1
Dilate
Reflect
Answer:
reflect
Step-by-step explanation:
dilate means bigger or smaller than the original.
4.7.PS-10
Question Help
A company has two manufacturing plants with daily production levels of 8x + 15 items and 3x - 7
items, respectively. The first plant produces how many more items daily than the second plant?
Answer:
3x times 24 widgets
Step-by-step explanation:
If the ratio of a to y is 2:5 and y is always 30% of z, then for all possible nonzero values
of x, y and z, x/z =
Answer: 3/25
Step-by-step explanation:
Will Give Brainliest
Answer:
x = 19
Step-by-step explanation:
3x - 3 = 6(x - 10)
3x - 3 = 6x - 60 Use dist property
Subtract 3x from both sides
-3 = 3x - 60
Add 60 to both sides
57 = 3x
Divide both sides by 3
19 = x
8 out of 45 students want lemonade and the rest want iced tea. What is the ratio of the number of students who want lemonade to the number of students who want iced tea?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
8/37
Step-by-step explanation:
People who wants iced tea = 45 - 8
People who wants lemonade = 8
8 (lemonade) / 37 (iced tea)
expand and simplify (m+7) (m+3)
Answer:
m^2+10m+21
Step-by-step explanation:
Distribute:
m times m is m^2
m times 3 is 3m
7 times m is 7m
7 times 3 is 21
=> m^2+3m+7m+21
Add 3m and 7m
=> m^2+10m+21
Thus the equation is
m^2+10m+21
Hope this helps!
(m + 7)(m + 3)
= m(m + 3) + 7(m + 3)
= m² + 3m + 7m + 21
= m² + 10m + 21
____
Hope it helps ⚜
How can i find the answer to this?
Answer:
Step-by-step explanation:
by the property of corresponding angles (2x +16) and (3x-12) will be equal
working uot from the equation 3x-12 = 2x+16 we get x=28
and we know that 3x-12 and y are supplementry as they form a linear pair
from that we will get the equation - 3x-12 + y = 180 and we know the value of x sowe will get y as 108
Nick is going to roast some marshmallows over a campfire tonight. Nick buys 4 bags of marshmallows. Each bag costs $3. Nick also buys a $2 lighter
Answer: 14
Step-by-step explanation: I solved the equation
Answer:
14 dollars
Step-by-step explanation:
I need help with this without links
Answer:
36°
Step-by-step explanation:
I used an online protractor to solve it
HELP PLS! The dotplot below displays 26 students' scores on a 30-
point statistics quiz.
Which of the following statements best describes the
dotplot?
Statistics Quiz
O The distribution of quiz scores is skewed left with a
center around 24 and varies from 12 to 30. There
are possible outliers at 12, 14, 15, and 16.
O The distribution of quiz scores is skewed right with a
center around 24 and varies from 12 to 30. There
are possible outliers at 12, 14, 15, and 16.
O The distribution of quiz scores is unimodal
symmetric with a center around 24 and varies from
12 to 30. There are possible outliers at 12, 14, 15,
and 16.
O The distribution of quiz scores is unimodal
symmetric with a center around 26 and varies from
20 to 30. There are possible outliers at 12, 14, 15,
and 16.
10
30
15 20
25
Scores (in Points)
Answer:
Skewed right center around varies from 12 to 30. Possible outliers 12, 14, 15, 16.
The distribution of quiz scores is skewed right with a center around 24 and varies from 12 to 30. There are possible outliers at 12, 14, 15, and 16.
What is the correct option?The dot plot is skewed to the right because majority of the data occur to the right of the dot plot.
An outlier is a number that is way smaller or way larger than that of other numbers in a data set. Outliers usually occur with a frequency of one. Looking at the dot plot, it can be seen that the numbers that range from 12 to 16 have only one dot.
To learn more about outliers, please check: https://brainly.com/question/27197311
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