Answer:
Hint: Use the Angle Addition Theorem and the fact that a line is made up of two opposite rays. Given: m∠1 = 62° and lines t and l intersect
Step-by-step explanation:
Step-by-step explanation:
Given: m∠1 = 62° and lines t and l intersect
Prove: m∠4 = 62°
Proof:
Statement Reason
m∠1 = 62° Given
m∠1 , m∠2 are supplementary t is a straight line hence linear pair.
m∠4 , m∠2 are supplementary r is a straight line hence linear pair.
Angle 2=180-62 = 118 Definition of supplementary angles
Angle 4 = 180-118 =62 -do-
Angle 1 = Angle 4 Equality property
Hence proved
82% of the 200 animals in a dog or cat rescue centers are cats. What percentage are dogs?
A. 82%
b. 59%
C. 24.39%
D. 41%
Please answer this question
Answer:
Median : 11.5, or 12 if you round it up.
Mean : 10.9 rounded up 10.875 not rounded.
Hope this help's, enjoy!
Is the list of numbers an arithmetic sequence?
22,25,27,30,33,…
Answer:
No
Step-by-step explanation:
The jump from each of the numbers is 3 but from 25 to 27 is 2 therefore it is not an arithmetic sequence.
A group of friends wants to go to the amusement park. They have no more than $280
to spend on parking and admission. Parking is $19.50, and tickets cost $33.75 per
person, including tax. Which inequality can be used to determine p, the maximum
number of people who can go to the amusement park?
Answer:
Step-by-step explanation:
5.25 + 17.75x ≤ 165
17.75x ≤ 159.75
x = 9 people (Assuming they all fit in one vehicle)
Wish You the Best in your Studies.
The number of people who can enter in the amusement park is 7.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Several buddies want to visit the theme park. They may only spend a total of $280 for parking and entrance. Tickets cost $33.75 per person, including tax, and parking is $19.50.
Let p be the number of people who can enter in the amusement park. Then the inequality is given as,
33.75p + 19.50 ≤ 280
Simplify the inequality, then the value of p is given as,
33.75p + 19.50 ≤ 280
33.75p ≤ 260.50
p ≤ 7.72
Thus, the number of people who can enter in the amusement park is 7.
More about the inequality link is given below.
https://brainly.com/question/19491153
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The pages of a book are numbered 1 to 200 and each leaf is 0.15 mm thick. If each cover is 2.5 mm thick, calculate the thickness of the book. give your answer in
mm , cm , m
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Thickness of the book is ~
[tex]20 \: mm = 2 \: cm = 0.02m[/tex]Refer to the attachment for solution ~
Can someone solve this equation.
Answer:
1/2
Step-by-step explanation:
what is the value of x in this figure
Answer:
43°
Step-by-step explanation:
the blue angle is congruent with the 80° because they are vertical angles
the red angle is 57° because 123° and 57° angles are supplementary angles
the green angle is 43° because the sum or angles in a triangle is 180°
The table shows the transportation method of employees at a certain company. What percent of the employees walk to work?
Answer:
0.5% of employees walk to work.
Step-by-step explanation:
F (x) = 3x + 7
F (-4) =
F (2) =
Answer:
f(-4)=3(-4)+7=0
f(2)=3(2)+7=13
Answer:
Step-by-step explanation:
f(x) = 3 x+7
f(x) = 3 x + 7
f(-4) = 3*-4 + 7
f(-4) = -12 + 7
f(-4) = -5
f(x) = 3 x + 7
f(2) = 3*2+7
f(2) = 6 + 7
f(2) = 13.
:f(-4) =-5 , f(2) =13
2x √3x+1
Find the derivative
Answer:
3 3/2x1/2
Step-by-step explanation:
6. Kori is on a road trip to Colorado, and uses the equation y = 60x+ 200 to determine the
number of miles she has driven after x hours. If she drives for a maximum of 12
hours, what is the domain of this situation?
The domain is the set of x-values for which the equation is true.
Since the maximum time is 12 hours, then the domain is less than or equal to 12.Since time can't be negative or 0, then the minimum is greater than 0. ∴ domain would be 0 < x ≥ 12Parallel to y=1/8x; through (-8.-8)
Answer:
.
Step-by-step explanation:
Hey guys, our adviser showed us an example on how to solve the problem that is given in our module. Unfortunately, there's a part of the given example that I can't recall. So, can you explain how to get the answer? (picture above)
Given :
45x[ 4/9 = 1/5 + 1/x ]To Do :-
To multiply 45x to all the terms .Solution :-
Given that ,
45x[ 4/9 = 1/5 + 1/x ]Distributive property of Multiplication over addition ,
a( b + c ) = ab + acSo that ,
45x * 4/9 = 45x* 1/5 + 45 x * 1/x 5x * 4 = 9x + 45 20x = 9x + 45Step-by-step explanation:
As it says, multiply 45x to all the terms. This is required to get rid of fractions.
See the steps below:
45x [ 4/9 = 1/5 + 1/x]45x(4/9) = 45x(1/5) + 45x(1/x) ⇒ multiply5x(4) = 9x + 45 ⇒ simplify20x = 9x + 45 ⇒ end result without fractionson a coordinate grid what is the distance of (-2,4) and (5,4)
Answer:
the distance is 7 units
Step-by-step explanation:
Since the we calculate the distance between (-2,4) and (5,4) and those points have the same y=4 coordinate then they are both part of a horizontal line.
The distance is found by looking at the x-axis.
From -2 to 5 so is form -2 until 0 is (2 )+ (5 )more = 7
What is the coefficient in the expression 8−x7? Question 7 options: −7 7 17 −17
Answer:
7
Step-by-step explanation:
If you want to divide 4 by 2/5 you can multiply 4 by 5, then divide it by 2 or multiply it by 1/2.
Step-by-step explanation:
to divide by a fraction is the same as to multiply by the upside-down fraction.
in your example
4 / 2/5 = 4 × 5/2 = 20/2 = 10
by the way, also a whole number is a fraction.
4 = 4/1
so, fully formal, the whole operation above looks like
(4/1) / (2/5) = (4/1) × (5/2) = (4×5) / (1×2) = 20/2 = 10/1 = 10
Hurry leaving for church
Answer:
250 ft/mile
Step-by-step explanation:
.. ......................
Hey!
Need help please...
[tex]\sf{Simplify~ 6x[/tex] ÷ [tex]\sf{23 = 0.[/tex]
answers/w explanation ✅ Nonsense answers, that's not the question I ask for will be reported.
Hey there!
6x ÷ 23 = 0
6x = 23 × 0
6x = 0
x = 0/6
x = 0
Hope it helps ya!
Note :- There's a latex error so I think this was the question you meant ~~.
Answer:
[tex] \frac{6x}{23} = 0[/tex]
[tex]6x = 0 \times 23[/tex]
[tex]6x = 0[/tex]
[tex]x = \frac{0}{6} [/tex]
[tex]x = 0[/tex]
The graph below represents the motion of a car.
What is the average speed of the car?
Answer: 2 Kilometers(km) a minute(min).
Step-by-step explanation:
If we look at the graph, the 1km and 2min meet.
Answer:
24 km/h
Step-by-step explanation:
The graphic shows 4 km in ten minutes
[tex]s=\frac{4 km}{10 min} (\frac{60 min}{1 hour}) =\frac{(4)(60)}{10} =24km/hr[/tex]
I hope this help you
one out of three plus 2 out of three?
ASAP HELP
Answer:
the answer is one whole or one out of one
a red die is tosses and then a green die is tossed. what is the probability that the red die shows a six and the green die shows six?
convert the equation 2x - 4y = 16 to slope intercept form
Answer:
y = 1/2x -4
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
2x-4y = 16
Subtract 2x from each side
2x-4y-2x = -2x+16
-4y =-2x+16
Divide each side by -4
-4y/-4 = -2x/-4 +16/-4
y = 1/2x -4
The slope is 1/2 and the y intercept is -4
Hilary put 5 items on his birthday wish list. He received 3 of the items for his birthday. What percent of the
items did Hilary receive ?
Answer:
60%
Step-by-step explanation:
100 ÷ 5 = 20
20 × 3 = 60
60 = 60%
I hope this helps
pls help!!!!! i will give brainliest!!!!!
Answer:
-2
Step-by-step explanation:
all you gotta do is look to see where the line intersects the y axis which is -2 here
If you have swimming every 5 days and diving every 3 days and today you have both in how many days will u have bit classes again
Answer:
In 15 days
Step-by-step explanation:
So you have to find the smallest common factor(a number they both share in the multiplication table) which in this case is 15.
I think you meant to say both not bit lol
Have a nice day! :-)
D is on side AB of triangle ABC. We know triangle ABC ~ triangle ACD and angle A = 48 degrees. If BC = CD what is angle B in degrees
Answer:4/6
Step-by-step explanation:
The measure of angle ∠B will be 66 degrees.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
D is on side AB of triangle ABC. We know triangle ABC is similar to triangle ACD and angle A = 48 degrees. If BC = CD.
∠ABC = ∠ACB = x (Isosceles triangle property)
In △ABC, the angle sum is 180°. Then we have
∠ABC + ∠ACB + ∠ABC = 180°
x + x + 48° = 180°
2x = 132°
x = 66°
Then
∠BCA = ∠BCD + ∠DCB = 66°
∠BCD = 66° − 18°
∠BCD = 48°
Now, In ΔBCD, then we have
∠BCD + ∠BDC + ∠DBC = 180°
48° + ∠BDC + 66° = 180°
∠BDC = 66°
We know that ∠BDC = ∠DBC,
∠DBC = ∠BDC
∠DBC = 66°
The measure of angle ∠B will be 66 degrees.
More about the triangle link is given below.
https://brainly.com/question/25813512
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Juan is paid a salary of $302 biweekly find Juan’s earnings per year
Answer:
7852
Step-by-step explanation:
There are 52 weeks in a year
Divide by 2 to determine bi-weekly
52/2 = 26
You will be paid 26 times in a year if you are paid bi-weekly
302 * 26
7852
(9 x 10⁶)(8 x 10⁻⁴)= ?
Answer: 7.2x10 3
Step-by-step explanation:
Answer: 7.2 x 10^3 or 7200
Step-by-step explanation:
y = 7x + 3, if x = 3
y=24
Step-by-step explanation:
y=7*3 +3
y=21+3
y=24
Perform the operation. Enter your answer in scientific notation.
9 x 10^*8 - 5.3 x 10^*8 =
Answer:
3.7x10^8
Step-by-step explanation:
did it on calc