Answer: B. 72ᴼ alternate exterior angles theorem
Step-by-step explanation:
Alternate exterior angles because they’re angles on the outside of the transversal.
Alternate exterior angles are also congruent to each other, so that’s why 2 is congruent to 72ᴼ
Put the following temperatures in order from least to greatest (1 is the least and 5 is the greatest):
Group of answer choices
The temperature was 25 degrees below zero
The pool temperature was 78 degrees
Water freezes at 32 degrees
The low temperature in December is -3 degrees
The temperature in the refrigerator was 34 degrees.
Answer:
25 degrees below zero, -3, 32, 34, 78
How many solutions does this linear system have?
Y= -1/2x + 4 x + 2y=-8
Answer:
No solutions
Step-by-step explanation:
[tex]y=-\dfrac{1}{2}x+4 \\\\x+2y=-8[/tex]
Substitute:
[tex]x+2(-\dfrac{1}{2}x+4)=-8\\\\x-x+8=-8\\\\8=-8[/tex]
This system has no solutions.
Hope this helps!
find the value of each trigonometric ratio part 2
Answer:
15/17
12/37
12/13
20/21
Step-by-step explanation:
5)
cos A = adj/hyp = 15/17
6)
cos C = adj/hyp = 12/37
7)
cos Z = adj/hyp = 36/39 = 12/13
8)
tan A = opp/adj = 20/21
which system of linear equations can be solved using the information below?
Answer:
The correct answer is A
Step-by-step explanation:
Because the solution to the two equations would be 3 and -6, so the numbers in the other column in the matrices that aren't 3 and -6 would be the coefficients. In matrix Ax = 4 and 1 are the coefficients for y and in matrix Ay, -5 and -8 is the coefficient for the xs in the equations.
Answer: A
Step-by-step explanation: edge 2023
A single story house is to be built on a rectangular lot 70 feet wide by 100 feet deep. The shorter side of the lot is along the street. The house must be set back 30 feet from the street. It also must be 20 feet from the back lot line and 10 feet from each side lot line. What is the greatest area that the house can have, in sq feet?
Answer:
250 sq ft
Step-by-step explanation:
Since the shorter side is along the street and the setback is 10ft from each side, the house is 50 ft wide
and 100 -20 -30 = 50 ft long
50 x 50 = 250 sq ft
The greatest area of the given house is 2500 square feet.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
To find the greatest area that the house can have, you need to determine the dimensions of the house.
The width of the house will be the distance between the two side lot lines, which is 70 feet - 10 feet - 10 feet = 50 feet.
The depth of the house will be the distance between the front and back lot lines, which is 100 feet - 30 feet - 20 feet = 50 feet.
The area of the house is :
50 feet x 50 feet = 2500 sq feet.
This is the greatest area that the house can have.
Learn more about the Area of the rectangle here:
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Identifying the Independent and Dependent Variable
The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c.
in dollars for the number of miles, m, traveled in the truck.
Identify the independent and dependent variables.
The
v is the independent variable.
The
is the dependent variable.
Answer:
The number of miles traveled is the independent variable.
The amount of money spent is the dependent variable.
Step-by-step explanation:
They keyword here is "per". You are spending .6 dollars for every mile traveled
Answer:
C = dependent
M = independent
Step-by-step explanation:
Hopefully this helps you :)
pls mark brainlest. ;)
Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate? Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%? Explain.
Answer: Yes it's possible for Joshua to meet his goal of having $5,000 after 4 years.
Step-by-step explanation:
From the question, Joshua has $4,200 to invest for college which he invests $4,200 for 3 years and earns $630.
Interest = (Principal × Rate × Time)/100
630 = (4200 × R × 3)/100
630 = 12600R/100
12600R = 630 × 100
12600R = 63000
Interest rate =63000/12600 = 5%
Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%?
Interest = (Principal × Rate × Time)/100
Interest = (4200 × 6 × 4)/100
= 100800/100
= $1008
At the end of 4 years, Joshua will have:
= $4200 + $1008
= $5208
Yes it's possible.
Find the term to term rules for the following sequence 2 6 18 54 162
Answer:
486
Step-by-step explanation:
7(+5)=21
can you please help with math problem
What is the answer? Pls help
Answer:
D
Step-by-step explanation:
Plug in 6 as x in the function
h(6) = 3(6) - 4
h(6) = 18 - 4
h(6) = 14
Answer:
The answer is 14 because 3 x 6 is 18 and 18 - 4 is 14
Step-by-step explanation:
AB is parallel to CD . Find the measure of each numbered angle. I NEED HELP ON 8 AND 9 ASAP
Answer:
Question (8). m∠1 = 142°
m∠2 = 300°
Question (9). m∠1 = 73°
m∠2 = 82°
Step-by-step explanation:
Question (8). m∠1 + 38° = 180° [Supplementary angles]
m∠1 = 180 - 38
m∠1 = 142°
m∠x = 38° [Alternate interior angles]
m∠y = 22° [Alternate interior angles]
Now, m∠2 = 360° - (m∠x + m∠y)
= 360° - (38 + 22)°
m∠2 = 300°
Question (9). m∠RMN + 98° = 180°
m∠RMN = 180 -98
= 82°
m∠RMN = m∠ARM = 82°
m∠2 = 82°
m∠SNM = 73° [Vertical angles]
m∠SNM = m∠OSR = 73°[Corresponding angles]
m∠1 = 73°
Which are correct representations of the inequality...
Answer:
[tex]-6x+15<10-5x[/tex]
Step-by-step explanation:
[tex]-3(2x-5)<5(2-x)[/tex]
Distribute.
[tex]-6x+15<10-5x[/tex]
Add 5x and subtract 15 on both sides.
[tex]-6x-5x<10-15[/tex]
[tex]-1x<-5[/tex]
Multiply -1 on both sides.
[tex]x>5[/tex]
Answer:
its c the third equation and d the first graph.
Step-by-step explanation:
i need help pls i would really appreciate it !!
pleaseee help me w dis!!! marking brainiest!!!
Answer:
x = -8 x=1
Step-by-step explanation:
x^2 +7x = 8
Subtract 8 from each side
x^2 +7x -8 =0
Factor
What 2 numbers multiply to -8 and add to 7
8*-1 = -8
8+-1 = 7
(x+8)(x-1) =0
Using the zero product property
x+8 =0 x-1 =0
x = -8 x=1
Could you Show work please
Answer:
2784 cm^2
Step-by-step explanation:
I have indicated in the pic there are 4 types of rectangles:
green : 20 x 4 = 80
red : 18 x 4 = 72
yellow : 20 x 18 = 360
blue : 18 x 16 = 288
green has 6 identical surface area so 6 x 80 = 480
red has 4 so 4 x 72 = 288
yellow has 4 so 4 x 360 = 1440
blue has 2 so 2 x 288 = 576
total : 480 + 288 + 1440 + 576 = 2784
Which expression is equivalent to this one??? Cuhhhhhhhhhh...,,,!!!
Answer : The equivalent expression of the given expression is 1.
Step-by-step explanation :
According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).
The given expression is:
(11²)⁴ ÷ 11⁸
First we have to solve bracket.
= (11)⁸ ÷ 11⁸
By dividing this expression, we get:
= 1
Therefore, the equivalent expression of the given expression is 1.
What is the approximate value of tan C?
B
13.93
5
13
Answer:
B you need to plug it in the calculator
The approximate value of tan C is 0.38 (Option D).
To find the approximate value of tangent (tan) of angle C, we can use the given side lengths of the right-angled triangle ABC:
Hypotenuse (c) = 13.93
Base (b) = 13
Height (a) = 5
The tangent of angle C is defined as the ratio of the height (a) to the base (b):
tan C = a / b
tan C = 5 / 13
Now, let's calculate the approximate value of tan C:
tan C ≈ 0.3846
Among the given options (0.36, 0.93, 2.6, 0.38), the closest approximation to the value of tan C is option D: 0.38.
Therefore, the approximate value of tan C is 0.38.
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Complete Question:
What is the approximate value of tan C?
Sam is eating a Big Hamburger. The first bite was 20% of the Hamburger, the second bite was 20% of what is left and so every next bite is 20% of what is left. How much did the Hamburger weigh originally, if after the second bite there was 160g of it left?
Answer:
250 g
Step-by-step explanation:
160 g after two bites
80% after 1 bite
[tex]\frac{80}{100} =.8[/tex]
160 ÷ .8=200
200 ÷ .8=250
Answer:
250
Step-by-step explanation:
We start with the 100% and if we take 20% from that we get 80% if we take 20% from that we have 64%. This means 160 is 64%. So if we do 160/64*100 we will get the answer!
Solve for y: 5-3y - 8y = 121 *
Answer:
y= -116/11
Step-by-step explanation:
5-3y-8y=121
5-11y=121
5-5-11y=121-5
-11y=116
-11y/-11=116/-11
y= -116/11
if a number of 721 students enrolled to a school & the number increases by 7%, by the next year how many students will there be?
Answer:
771
Step-by-step explanation:
Answer:
771
Step-by-step explanation:
-21 +3 = -9r in the form of -2(x-p)2+q=
Answer:
1.28 Step-by-step explanation: got
this is my question -- factorise x^2+5x+6
Answer: (x+2)(x+3)
Step-by-step explanation:
Find the multiples of 6 and then see which two numbers adds up to 5
Someone please help ASAP. I would really really appreciate it if u can. I will mark brainliest
Answer:
[tex]y = -\frac{1}{4} x + 2[/tex]
Step-by-step explanation:
helppppppppppppppppppppppppp!
Answer:
The difference is 22.5 km
Step-by-step explanation:
CD = 4.5 cm
DE = 8 cm
-----------
12 .5 cm
CE = 5 cm
The difference is
12.5 - 5 = 7.5 cm
Then multiply by the scale factor
7.5 cm * 3 km /1 cm =22.5 km
A coin jar contains 10 quarters, 6 dimes, and 8 nickels. Find the probability that a dime is chosen at random from the jar and then a nickel is chosen at random from the jar.
Answer: 6 to 24
Step-by-step explanation:
Mr. Malone is contemplating which chauffeured car service to take to the airport. The first costs $28 upfront and $2 per mile. The second costs $13 plus $5 per mile. For a certain driving distance, the two companies charge the same total fare. What is the distance?
Answer:
The distance is 8 miles.
Step-by-step explanation:
First, we need to write an equation for each of chauffeured car services.
The first one = 28 + 2x = ?
The second one = 13 + 5x = ?
Next, we need to figure out what x is. Usually I just plug in random numbers, but I'm sure there's a better way to do it.
I first plugged in 2 as x.
28 + 4 = 32
13 + 10 = 23
That didn't work, so I then plugged in 5.
28 + 10 = 38
13 + 25 = 38
So 5 would be the correct answer for what is the distance.
A classroom has a total of 26 students, 13 Students in the classroom are females and the rest are males. 5 males students have long hair and 9 female students wear glasses. A Student is called to the principal's office. What is the probability that the student being called is female and does not wear glasses. Explain your answer...
Answer:
15%
Step-by-step explanation:
There is 26 students 13 are females of those 13 nine of them wear glasses if you subtract 13 minus 9 you are left with 4 and if you divide that 4 by 26 you get the percentage of girls without glasses which is 15%
The Griffins bought a new car for $23,865. The total price was $26,959 which included $1,589 for tax and license, $742 for shipping, and payment for accessories. How much were the accessories?
. 4/18 times 2/92. 1/9 times 3/63. 12/14 times 1/84.1/7 times 5/65. 17/20 times 1/61. 4 1/4 times 3 1/22. 3 5/6 times 4 1/23. 2 1/2 times 4 7/84.3 3/5 times 2 3/85. 3 1/2 times 3 3/8Whoever can solve at least 2 from each set is awesome!
Answer:
Step-by-step explanation:
4/18×2/92
=1/9×1/23
=1/207
1/9×3/63
=1/3×1/23
=1/69
12/14×1/84
=1/14×1/7
=1/98
1/7×5/65
=1/7×1/13
=1/91
17/20×1/61
=17/1220
4 1/4 ×3 1/22
=17/4×67/22
=1,139/88
=12 83/88
3 5/6×4 1/23
=23/6×93/23
=93/6
=15 3/6
=15 1/2
2 1/2×4 7/84
=5/2×343/84
=1715/168
=10 35/168
I have answered more than 2 from each set
also need help for this but dont need to much of a explanation
Answer:
Slope: 1/2
Step-by-step explanation:
Use rise over run.
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