Answer:
3 because we'll I don't know
Please help!! Determine if 3 and 4 are linear the explain why it why not
pl.z si.r hel.p m.e math geometry questio.n......
x=65
y=60
p=60
q=65
r=115 How?
[tex]\\ \rm{:}\dashrightarrow p+120=180[/tex]
[tex]\\ \rm{:}\dashrightarrow p=60[/tex]
And
q=65°(Opposite angles are equalNow
[tex]\\ \rm{:}\dashrightarrow r+65=180[/tex]
[tex]\\ \rm{:}\dashrightarrow r=115[/tex]
So
[tex]\\ \rm{:}\dashrightarrow x=q(Opposite interior angles)=65[/tex]
y=p=60°Answer:
p = 60°
r = 115°
q = 65°
y = 60°
x = 65°
Step-by-step explanation:
Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.
Therefore, the linear pairs are:
p + 120° = 180°
⇒ p = 60°
r + 65° = 180°
⇒ r = 115°
-----------------------------------------------------------------------------------
Vertical angle theorem: a pair of opposite angles formed by intersecting lines. Vertical angles are always congruent (equal).
Therefore, the vertical angles are q and 65°:
⇒ q = 65°
-----------------------------------------------------------------------------------
Consecutive interior angle theorem: if a transversal intersects two parallel lines, each pair of consecutive interior angles is supplementary and so their measures sum to 180°.
Therefore, the consecutive interiors angles are:
120° + y = 180°
⇒ y = 60°
x + r = 180°
⇒ x + 115° = 180°
⇒ x = 65°
"John is 3 years older than Mary. Five years ago he was four times as old as Mary was then. How old is John?"
Answer:
9 years old
look at the comment section.
The age of john is 9 years.
What is Algebra?Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division, with an objective to find the values.
Algebraic ExpressionsAn algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.
Given:
John is 3 years older than Mary.
Five years ago he was four times as old as Mary was then.
let the age of mary be x
John's age= x+ 3
Five years age,
Mary's age= x-5
john's age = x-2
So,
x-2= 4( x-5)
x- 2 = 4x- 20
-3x= -18
x=3
Hence, john's age= 9 years
Learn more about algebra here:
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Solve for x in the diagram below (6x-2)
Answer:
x=12 is the answer to this question
Find the equation of a line that passes through the point (3,4) and has a gradient of 1/3. Leave your answer in the form y=mx+c
HELPPP FOR BRIANLEST!!!
Answer:
1/16
Step-by-step explanation:
NOT vanilla and NOT Saturday (1) over total (16)
1/16
At an intersection, the red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0. 25 minutes. Using the empirical rule, approximately what percent of red lights last between 2. 5 and 3. 5 minutes? 32% 68% 95% 99. 7%.
The red light lasts between 2.5 minutes and 3.5 minutes is 95 %. Then the correct option is C.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
At an intersection, the red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0. 25 minutes.
In this case, the mean is 3 and the standard deviation is 0.25, We move one space to the right that would represent 3.25 minutes, one more space to the right that is 3.50 minutes. Similarly, we move one space to the left, this would be 2.75, one more space to the left, and the shows 2.50 minutes.
Thus, the correct option is C.
More about the normal distribution link is given below.
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Justin builds a triangular fenced area for his dog called Triangle ABC. If AB = 17 ft and BC = 8ft, and angle C is a right angle, which of the following are true? Select all that apply.
ロThe missing side measures 12.5 ft.
ロ The missing side of the fence measures 15 ft.
ロ The perimeter of the fence is 40 ft.
ロ The perimeter is 37.5 ft.
ロ The area inside the fenced in section is 60 sq ft
ロ The area inside the fenced section is 68 sq ft.
The missing side of the fence measures 15 ft
The perimeter of the fence is 40 ft
The area inside the fenced in section is 60 ft²
The fence is triangular and a right triangle.
Right triangle:A right triangle has one of its angle as 90 degrees. Therefore, the sides can be found using Pythagoras theorem.
c² = a² + b²
17² - 8² = b²
b = 15 ft
AC = 15 ft
perimeter of the triangle = 15 + 8 + 17 = 40 ft
Area of the triangle = 1 / 2 × 15 × 8 = 60 ft²
Therefore,
The missing side of the fence measures 15 ft
The perimeter of the fence is 40 ft
The area inside the fenced in section is 60 ft²
learn more on right angle triangle here; https://brainly.com/question/2192748
The black shoelace is longer than the green shoelace but shorter than the pink shoelace. The green shoelace is longer than the orange shoelace. Which shoelace is shorter, the pink shoelace or the orange shoelace?
Ans The orange shoe lace
Step-by-step explanation:
Is this correct? If not what is the correct answer
Answer:
it would be the first one
Step-by-step explanation:
One sponsor will donate $80 just for entering the race. Another sponsor will donate $12 for each mile she walks. How many miles should she walk if she wants to raise exactly $200 from those two sponsors?
Answer:
10 miles
Step-by-step explanation:
first you subtract 80 from 200
200-80= 120
then you divide 120 by 12
120/12= 10
she will need to walk 10 miles in order to raise 200 dollars
hope this helped!
Given 8x=-24, What is the value of x?
a. -3
b. 12
c. -2
d. 3
Answer:
divide both sides by 8.
x=-3
What is the 11/30 take away 3/10 in it’s simplest form
Answer:
1/15 is simplest, answer 2/30
Step-by-step explanation:
11/30 - 3/10. Find LCD
Since it's 30, leave 11/30 how it is and turn 3/10 into 9/30
Next, 11-9=2
meaning 2/30, which if you divide by 2 both sides, you get 1/15.
Find the arc length of the partial circle
Answer:
11
...
...
...
...
.........
A mobile phone costs $320. It is reduced in a sale by 45%. Work out the sale price of the mobile phone.
Answer:
$176
Step-by-step explanation:
Total: $320 Subtract 45%= 0.45 Decimal = 176
Billy’s employer pays for 65% of his annual health insurance premium. billy has the rest deducted in equal amounts from his paycheck. if billy has $105.73 withheld from his paychecks twice each month, how much does his employer contribute towards his health insurance on an annual basis? a. $683.18 b. $1,366.36 c. $2,356.27 d. $4,712.54
Billy's total annual health insurance premium is $4,712.54. Then the correct option is D.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Billy’s employer pays for 65% of his annual health insurance premium.
Billy has the rest deducted in equal amounts from his paycheck.
If billy has $105.73 withheld from his paychecks twice each month.
His employer contributes towards his health insurance on an annual basis.
To get the amount of his employer to contribute towards his health insurance on an annual basis will be
105.73 × 24 = 2537.52
The next step is to calculate Billy's total annual health insurance premium will be
[tex]\rm Health \ insurance \ premium = \dfrac{2537.52 * 0.65}{0.35}\\\\Health \ insurance \ premium = 4712.54[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
How much will you have in 10 years?
Answer:
$4439.28
Step-by-step explanation:
The future value is computed using the formula ...
FV = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
Using the given values, the future value is ...
FV = $2000(1 +0.08/12)^(12·10) ≈ $4439.28
You will have $4439.28 in the account after 10 years.
Which formula should be used to find the area of the composite shape.
Answer:
I don't see the composite shape, but the answer is to find the area of each shape inside the composite shape and add them up to get the total area of the shape.
Step-by-step explanation:
Common math formulas:
Area of a circle: A = [tex]\pi[/tex]r²
Area of a square: A = l × w
Area of a rectangle: A = l × w
Area of a triangle: A = 1/2 of b × h
when 25 percent is allowed,a customer pays Rs 1680 to buy a watch.Find the cost of the watch before the discount.
Answer:
nobody knows, go to a shop
Step-by-step explanation:
(a) Laura owns 6 shares of a certain stock. Yesterday the total value of her shares went down by
24 dollars. What was the change in value for each share?
dollars
For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his earnings, e?
e ≥ 50 or e ≤ 100
e > 50 or e < 100
50 < e < 100
50 ≤ e ≤ 100
Answer:
The 4th - 50 ≤ e ≤ 100
Step-by-step explanation:
Hope this helps!
Answer:
D
Step-by-step explanation:
[tex]50 \leqslant e \leqslant 100[/tex]
this is because e is greater than 50 but 100 is greater than e
pls give brainliest
Paul has already made 50 cupcakes and bakes 25 cupcakes every hour. Write the equation for this situation.(No spaces between symbols)
Answer:
25*2=50
OR
50/2=25
Step-by-step explanation:
If Paul has made 50 cupcakes so far, that means he's been baking for two hours.
25/hr
50 in total
50/2=25
25*2=50
What is the inequality?
The movie will be a maximum of 90 minutes long.
Answer:
it should be 1 hour 30 min long (maybe)
Step-by-step explanation:
Expand
3(x + 4)
Could you explain the answer as well and I hope u have an amazing day if your reading this<33
Answer:
See below.
Step-by-step explanation:
3(x+4)
You multiply 3 by all of the terms in the parenthesis.
3*x and 3*4
The simplified product is 3x+12.
-hope it helps
Help me out it’s urgent
Answer:
sorry but i also dont kbow
Can the side lengths of 4, 8, and 14 form a triangle?
Answer:
No.
Step-by-step explanation:
8+4, the sides is not greater than 14, so no.
There are 100 bacteria in a jar. Every day, the number of bacteria increases 25%. In approximately how many days will there be 500 bactria in the jar? Pick the closest answer.
A. 3
B. 12
C. 10
D. 2
E. 7
Answer:
E. 7
Step-by-step explanation:
General form of exponential equation: [tex]y=ab^x[/tex]
where [tex]a[/tex] is the initial value, [tex]b[/tex] is the growth/decay rate, and [tex]x[/tex] is time.
Given:
[tex]a[/tex] = 100 bacteria[tex]b[/tex] = 25% increase = 1.25[tex]x[/tex] = number of days⇒ [tex]y=100 \cdot 1.25^x[/tex]
If y = 500, then:
[tex]\implies 500=100 \cdot 1.25^x[/tex]
[tex]\implies 5=1.25^x[/tex]
[tex]\implies \ln5=\ln1.25^x[/tex]
[tex]\implies \ln5=x\ln1.25^[/tex]
[tex]\implies x=\dfrac{\ln5}{\ln1.25}[/tex]
[tex]\implies x=7.212567439...[/tex]
[tex]\implies x \approx7[/tex]
what's 5 divided by 3 1/3?
Answer: 3/2
Step-by-step explanation:
We can start by converting 3 1/3 to an improper fraction. Since 3 is equal to 9/3, 3 1/3 would be equal to 9/3 + 1/3 = 10/3.
Therefore, we are doing [tex]\frac{5}{\frac{10}{3}}[/tex].
Dividing 5 by 10/3 is the same as multiplying 5 and the reciprocal of 10/3, which is 3/10.
5*3/10 = 15/10 = 3/2.
A bird drops a stick to the ground from a height of 70ft. The function h = -16t^2 + 70 gives the stick's approximate height h above the ground, in feet, after t seconds. Graph the function. At about what time does the stick hit the ground?
Answer:
√ 80/16=t t=0.5590169943749474
Step-by-step explanation:
The function h(t) = -16t^2 + 70 is a quadratic function, and the stick hits the ground at about 2.092 seconds
Here, we have,
to determine the time it hits the ground:
The function is given as:
h(t) = -16t^2 + 70
Next, we plot the graph of the function h(t)
From the graph of the function h(t) (see attachment), we have the following highlight:
t = -2.092 and t = 2.092 when h(t) = 0
Time cannot be negative.
So, we have:
t = 2.092
This means that the stick hits the ground at about 2.165 seconds
Read more about quadratic functions at:
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Carmen buys 153 shares of Cawh Consolidated Banks, each of which pays a constant yearly dividend of $7. 14. After six years, how much has Carmen received in dividends? a. $5,783. 40 b. $1,820. 70 c. $1,092. 42 d. $6,554. 52 Please select the best answer from the choices provided A B C D.
Answer:
d. $6,554.52
Step-by-step explanation:
1) 153 shares x $7.14 = $1092.42
2) $1092.42 x 6 = $6,554.52