Answer:
x =11Step-by-step explanation:
Using the triangular law which states that the sum of interior anggle of a triangle is equal to exterior angle
From the diagram
Interior angles = 5x +10 and 58
Interior angle = 11x+2
Equate both expressions
5x + 10 + 58 = 11x+2
5x - 11x = 2 - 10 - 58
-6x = 2-68
-6x = -66
x = -66/-6
x = 11
Hence the value of x is 11
In ΔNOP, \overline{NP}
NP
is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}m∠NOP=(3x+8)
∘
, \text{m}\angle PNO = (2x+9)^{\circ}m∠PNO=(2x+9)
∘
, and \text{m}\angle OPQ = (8x-16)^{\circ}m∠OPQ=(8x−16)
∘
. What is the value of x?x?
Answer:
x=11
Step-by-step explanation:
Using the Exterior Angle Theorem. . .
(3x+8) + (2x+9) = (8x-16)
Solve to get x = 11
can i have some help please( BRAINLLEST)
Answer:
2
-3
same thing
Step-by-step explanation:
Write x^2-8x+22 in the form (x-a)^2 +b
Answer:
[tex] {(x - 4)}^{2} + 6[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 8x + 22 \\ \\ = {x}^{2} - 8x + 16 + 6 \\ \\ = {x}^{2} - 8x + {4}^{2} + 6 \\ \\ = {(x - 4)}^{2} + 6[/tex]
The completed square form of x² - 8x + 22 = 0 is (x - 4)² = - 6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, a quadratic equation x² - 8x + 22 = 0.
We know (a - b)² = a² - 2ab + b².
∴ x² - 8x + 22 = 0 is
(x)² -2(x)(4) + 4² + 6 = 0.
(x - 4)² = - 6.
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How long it takes for something to travel a certain distance is the definition of:
Answer: boat
Step-by-step explanation: the farthest it can go is weeks
7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
will be
(a) 2,600
(b) 2,700
(c) 2,800
(d) 3,000
with steps
Selling price of a bicycle = 2850
Profit percentage = 14%
We know that :
[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]
Then, the cost price of this bicycle :
[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]
[tex] = \tt \frac{285000}{114} [/tex]
[tex] =\color{plum} \tt2500[/tex]
Thus, the cost price of this bicycle = 2500
In another scenario :
Profit percentage = 8%
Cost price of the bicycle = 2500
Then, Selling price will be equal to :
Let x be the selling price of the bicycle.
[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]
[tex] = \tt2500 = \frac{100x}{108} [/tex]
[tex] =\tt 100x = 2500 \times 108[/tex]
[tex] = \tt100x = 270000[/tex]
[tex] =\tt x = \frac{270000}{100} [/tex]
[tex] =\color{plum}\tt x = 2700[/tex]
Therefore, the selling price with a profit of 8% will be = 2700
Write the fraction 9/12 as a percent
9/12 = 75%
if any questions just ask.
Answer:
75%Step-by-step explanation:
9/12 in percent = 9 ÷ 2 × 100%=0.75 × 100= 75%.l hope it helps you ❤❤How many cups are in 16 quarts? 1 quart = 4 cups
Answer:
64
Step-by-step explanation:
4 cups * 16 quarts = 64 cups
maya joins two peices of wood together one peice is 36 inches long the total lenght of both peices is 62 how long is the other peice of wood
help ;-;...
Answer: 26
Step-by-step explanation:
62-36=26
Answer: 26
You simply have to subtract 36 from 62
Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.
Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.
k
8
12
k+2
k+8
k+10
k-2
k-8
Answer:
Step-by-step explanation:
The expression for the total distance covered.
k + (k + 8) + (k - 2)
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Distance biked:
Jackson = k
Maria = k + 8
Peter = k - 2
Now,
The total distance biked.
= k + k + 8 + k - 2
= 3k + 6
= 3 (k + 2)
Thus,
The total distance covered is 3 (k + 2).
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The length of a ship is 247 metres, correct to the nearest metre.
Write down the minimum length of the ship.
Answer:
246.50
Step-by-step explanation:
The cost of a mobile phone processor is directly proportional to its speed.
A 2GHz mobile costs £500.
Let x be the speed of a processor in GHz
Let y be the cost in pounds.
Find a formula linking the variables.
Answer: See explanation
Step-by-step explanation:
We are going to use the formula used in calculating direct proportion which is equal to:
y = kx
where,
x = speed of a processor in GHz
y = the cost in pounds
Therefore, y = kx
500 = 2k
Therefore, y = 2k
Fatima used a coupon to pay for a pair of jeans. The original price of the jeans was $25. The coupon reduced the price to $16. Which equation can you use to help you find the value of the coupon? *
Answer:
16+c=25
Step-by-step explanation:
HELP HELP HELP!!!!! Please help!
Answer:
Regular peanut butter - .23
Family Size Peanut Butter - .15
Answer:
#1: 0.23
#2: 0.15
Step-by-step explanation:
1.38/ 6= 0.23
6*0.23= 1.38
7.80/ 52= 0.15
0.15*52= 7.80
Find the distance between points (a, b) and (-a, -b).
Answer:
you have to show which points lol
Taras garden is 3/8 are red flowers and 3/6 are yellow flowers which is greater
Answer: 3/6
Step-by-step explanation:
If you convert them into decimals you get
3/8 = 0.375
3/6 = 0.5
Answer: 3/6 is greater
Step-by-step explanation:
A marketing company is hiring two college students to hand out brochures near an event. Marshall hands out 300
brochures in 2 hours. Silas hands out 240 brochures in 90 minutes. Who handed out more brochures per minute?
Neither. They handed out brochures at the same rate.
Marshall
Silas
Answer:
silas
Step-by-step explanation:
A copy machine makes 36 copies per minute. How long does it take to make 126 copies?
Answer:
It will take 3.5 minutes to make 126 copies
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can do 126/36 to get our answer since 126 is the total copies and 36 is the copies we can do in a minute. 126/36 = 3.5 so it will take 3.5 minutes.
combine these like terms 4 girls + 2 girls - 3 boys
Answer:
6 girls - 3 boys
Step-by-step explanation:
Answer:
6girls - 3 boys
Step-by-step explanation:
4 girls + 2 girls =6 girls
you cant mix girls and boys so you still have 3 boys
A line has a slope of 6 and a y-intercept of 5. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
The equation in slope-intercept form is y = 6x + 5
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptLet us solve the question
∵ A line has a slope of 6
∵ m is the slope of the line
∴ m = 6
∵ The line has a y-intercept of 5
∵ b is the y-intercept
∴ b = 5
→ Substitute the values of m and b in the slope-intercept form
∵ y = m x + b
∴ y = 6x + 5
∴ The equation in slope-intercept form is y = 6x + 5
hey, can somebody help me please and thank you. :)
Please please help! Will mark brainliest!
Answer:
-
Step-by-step explanation:
Which rational function has vertical asymptotes at x=-3 and 9,a horizontal asymptote at y=1, and an x-intercept of 0?
•h(x)=x^2/x^2-6x-27
Answer:
Yes that function does •h(x)=x^2/x^2-6x-27
Step-by-step explanation:
Yes that function does •h(x)=x^2/x^2-6x-27
Jakob used the table shown to find a ratio which is equivalent to 5:9.
a multiplication table here
Which ratio is equivalent to 5:9?
10:36
10:27
20:27
20:36
Answer:
20:36
Step-by-step explanation:
5 x 4 = 20
9 x 4 = 36
Final answer: 20:36
X – y=11
3x + 10y= -6
Answer:
(8, - 3 )
Step-by-step explanation:
Given the 2 equations
x - y = 11 → (1)
3x + 10y = - 6 → (2)
Multiplying (1) by 10 and adding to (2) will eliminate the y- term
10x - 10y = 110 → (3)
Add (2) and (3) term by term to eliminate y
13x + 0 = 104
13x = 104 ( divide both sides by 13 )
x = 8
Substitute x = 8 into either of the 2 equations and solve for y
Substituting into (2)
3(8) + 10y = - 6
24 + 10y = - 6 ( subtract 24 from both sides )
10y = - 30 ( divide both sides by 10 )
y = - 3
solution is (8, - 3 )
is it possible to draw a triangle with numbers 5,6,11
Answer:
No
Step-by-step explanation:
Let's use the Pythagorean Theorem. For those of you that don't know, it is [tex]a^2 + b^2 = c^2\\[/tex].
11 is the bigger side in this case, so our formula would go like this: [tex]5^2 + 6^2 = 11^2\\[/tex].
We now calculate to see if this is true.
25 + 36 [tex]\neq[/tex] 121
Therefore, the answer is wrong.
20 points. A triangle has an exterior angle with a measure of 120°. Can you determine the measures of the interior angles?
The answer is no, I just need an explanation why, thank you :)
Answer:
Step-by-step explanation:
it is no because there is only 1 angel that u have
If the point (4,-2) Is Included in dun
OA. (4,2)
OB. (-4,-2)
OC. 12,-4)
OD. (-2,4)
Manny wants to find ways to reduce his current debt. The table below shows Manny’s monthly income, expenses and net income.
Monthly Budget
Amount
Income
Wages
$3,000.00
Expenses
Rent
$1,200.00
Utilities
$269.34
Entertainment
$220.00
Food/Clothes
$368.00
Cell Phone
$89.42
Credit Card #1
$94.62
Credit Card #2
$36.18
Car Insurance
$80.00
Car Payment
$300.00
Gym Membership
$25.00
Net Income
$317.44
After evaluating Manny’s monthly budget, which of the following would be the best option to reduce his debt?
a.
Manny could spend less on entertainment each month and put the money towards a new cell phone.
b.
Manny could pay the minimum monthly payments on his credit cards and put the money towards his car payment.
c.
Manny could spend less on food and clothes and put the money towards his credit card payment.
d.
Manny could cut his utlility costs and put the money towards buying a new house.
Answer:
c. Manny could spend less on food and clothes and put the money towards his credit card payment.
Step-by-step explanation:
Edge 2021
Based on the information given, Manny can reduce his current debt by: C. Manny could spend less on food and clothes and put the money towards his credit card payment.
What is a credit card?A credit card refers to a small rectangular-shaped plastic card that is issued by a financial institution (banks) to its customers, which allows them to purchase goods and services on credit, especially based on the agreement that the amount of money taken would be paid later with an agreed upon interest rate.
How to calculate monthly payment.Mathematically, the monthly payment for a credit card is given by this formula:
[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]
Where:
P is the principal.r is the interest rate.M is the monthly payment.t is the time.n is the number of times it's compounded.In this scenario, Manny can reduce his current debt by spending less amount of money on both food and clothes while putting the money towards his credit card payment.
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Solve the fraction problem and reduce the answer to simplest form:
1/5 + 3/4 = ??
7/9 - 3/5= ??
6/8 - 2/7 = ??
5/6 + 5/10 = ??
7/8 - 2/3 = ??
8/10 + 5/6 = ??
9/11 - 2/3 = ??
Answer:
1. 19/20
2. 8/45
3. 13/28
4. 4/3
5. 5/24
6. 49/30
7. 5/33
Fractions are integers that have both a numerator and a denominator. Fraction comes in the form: [tex]\frac{x}{y}[/tex]
where x = numerator and y = denominator.
a) 1/5 + 3/4
We find the Lowest common denominator (5, 4) = 20
Hence: 4 + (5 x 3) / 20
= 4 + 15 / 20
= 19/20
b) 7/9 - 3/5
We find the Lowest common denominator (5, 9) = 45
Hence: (7 x 5) + (9 x 3) / 45
= 35 - 27 / 45
= 8/45
c) 6/8 - 2/7
We find the Lowest common denominator (7, 8) = 56
Hence: (6 x 7) - (2 x 8) / 56
= 42 - 16 /56
= 26/56
= 13/28
d) 5/6 + 5/10
We find the Lowest common denominator (6, 10) = 30
Hence: (5 x 5) + (5 x 3) / 30
= 25 + 15 / 30
= 40/30
= 4/3
= 1 1/3
e) 7/8 - 2/3
We find the Lowest common denominator (3, 8) = 24
Hence: (7 x 3) - (2 x 8) / 24
= 21 - 16 / 24
= 5/24
f) 8/10 + 5/6
We find the Lowest common denominator (6, 10) = 30
Hence: (8 x 3) + (5 x 5)
= 24 + 25 / 30
= 49/30
= 1 19/30
g) 9/11 - 2/3
We find the Lowest common denominator (3, 11) = 33
Hence: (9 x 3) - (11 x 2) / 33
= 27 - 22 / 33
= 5/33
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Which two numbers have a mean of 10 and a range of 4?
NEED THIS ASAP PLEASE I WILL LEAVE A GOOD RATING
the answer would be 12 and 8