Answer: D
Step-by-step explanation:
The reason that justifies Step 2 in the proof is Vertical angles are congruent.
Therefore, the correct answer is C. Vertical angles are congruent.
Vertical angles are angles that are opposite each other when two lines intersect.
They are always congruent, regardless of whether the lines are parallel or not.
In the given diagram, angles ∠NQT and ∠SQR are vertical angles. Therefore, they are congruent, and Step 2 of the proof is justified.
The other answer choices are not correct:
A: Same-side interior angles are only congruent when the lines are parallel.
B: Corresponding angles are only congruent when the lines are parallel.
D: Alternate interior angles are only congruent when the lines are parallel.
Therefore, the correct answer is C. Vertical angles are congruent.
For similar question on Vertical angles.
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Which number is the square of an integer and could also be the cube of another integer?
1)121
2)100
3)64
4)16
Answer:
64
Step-by-step explanation:
64= 8² and 64=4³
The other choices will give you decimals.
In 2004 there were approximately 5820 cinema sites. In 2000 there were 6700 cinema sites. a. Write an equation describing the relationship. Use ordered pairs of the form (years past 2000, number of cinema sites). b.Use the equation to predict the number of cinema sites is 2009.
The equation describing the relationship between the number of cinema sites and years past 2000 is y = -220x + 6700. To predict the number of cinema sites in 2009, substitute x = 9 into the equation, resulting in a predicted value of 4720.
Explanation:To write an equation describing the relationship between the number of cinema sites and years past 2000, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, y represents the number of cinema sites and x represents the years past 2000.
The slope (m) can be found using the formula (change in y)/(change in x), and the y-intercept (b) can be found by substituting one set of ordered pairs into the equation.
From 2000 to 2004, the change in years past 2000 is 4, and the change in the number of cinema sites is -880. Therefore, the slope (m) is -880/4 = -220.
We can substitute the ordered pair (0, 6700) into the equation to find the y-intercept (b).
So, the equation describing the relationship is y = -220x + 6700, where y is the number of cinema sites and x is the years past 2000.
To predict the number of cinema sites in 2009, we substitute x = 9 (since 2009 is 9 years past 2000) into the equation:
y = -220(9) + 6700
y = -1980 + 6700
y = 4720.
Therefore, the predicted number of cinema sites in 2009 is 4720.
PLS HELP ME I NEED HELP DESPERATELY I ALSO NEEDA SHOW WORK PLS I POSTED THIS QUESTION SM TIMES W OUT NO HELP ME HELP ME
Answer:
x = 3
Step-by-step explanation:
vertical line mean x always constant
Answer:
x=3
Step-by-step explanation:
The equation for a vertical line is x=a, where a is any value
You plug in the point, and get x = 3
What are the binomial factors of the polynomial x^3-x^2-49x+49
a. (x-1),(x-7),(x+7)
b. (x+1),(x-7),(x+7)
c. (x-1),(x-7)
d. (x+1),(x+7)
Answer:A
Step-by-step explanation:
Just took the ed test
Choose the correct product of (8x − 4)(8x + 4).
64x^2 − 16
64x^2 + 16
64x^2 − 64x + 16
64x^2 + 64x + 16
Step-by-step explanation:
It is in the form of a² - b²
so it's correct product is
64x² - 16
so the answer is of option A.
Hope this will help u...:)
Help :( look at picture
Answer: A≈201.06
We know the diamter is 8 and we're using Pi.
A=πr²
=π·8²
8 x 8 = 64
Now we multiply this by using Pi, it says Pi is 3.14. Therefore we multiply that by 64.
64 x 3.14 = 200.96
I hope this helped, have a good day!
please please help me
Answer:
13 and 16 are functions.
If the x does not repeat,it is a function
Aliya draws a scale model of her mother's garden. The actual garden's measurements are 35 feet by 50 feet.
On the drawing, the length of the garden is 5 inches. What is the width of the garden on the scale drawing?
3.5 in.
2.0 in.
2.5 in.
3.0 in.
Answer:
3.5 in. if the 35 feet side is the width
Step-by-step explanation:
Which of the following measureemnts is the most percise?
A. 1 liter
B. 137 millilliters
C. 1,378 liters
D. 137 kiloliters
Answer:
B: 137 ml. (It`s the smallest unit of measurment out of all the choices)
Step-by-step explanation:
It izz wat it izzzz!!!
:)
Profit definition in a number
Answer:
I'm unaware if this is what you're looking for? ♀️
Step-by-step explanation:
Your revenue minus your costs for goods or services is your gross profit. It follows a basic Sales – Cost = Profit equation. You're just subtracting a different category of cost. When you have your gross profit figure, use that number to determine your total profit. Sales – Cost = Profit
The commutative property does not apply to which of the following operations?
A
division only
B
subtraction only
division and subtraction
addition and subtraction
- Ав
Approximately how much fabric of each color will be needed to make a single parachute canopy?
88.5 ft
88.5 ft²
265.5 ft
265.5 ft²
Answer:b)88.5 ft squared
Step-by-step explanation:
Answer:
B) 88.5 ft²
Step-by-step explanation:
Which of the following is true of the data set represented by the box plot?
box plot with point at 16, min at 33, Q1 at 40, median at 52, Q3 at 55, max at 78, and point at 86
Answer:
Removing the outliers would not affect the median.
Step-by-step explanation:
Jonathon paid $237 for 15 pizzas, which included the $12 delivery charge. How much will he pay for 22 pizzas
Jonathon will pay $342 for 22 pizzas.
Initially, Jonathon paid $237 for 15 pizzas, which included the $12 delivery charge. To find the cost per pizza, we first subtract the delivery charge from the total amount.
Total without delivery charge = $237 - $12 = $225
Now, we divide this amount by the number of pizzas to find the cost per pizza.
Cost per pizza = $225 / 15 = $15
For 22 pizzas, we multiply the number of pizzas by the cost per pizza and then add the delivery charge.
Total cost for 22 pizzas = (22 x $15) + $12 delivery charge
= ($330) + $12
= $342
Therefore, Jonathon will pay $342 for 22 pizzas.
Solve the system of equations shown by substitution. y=x-5 5x+2y=4
Answer:
x=2,y=-3
Step-by-step explanation:
y=x-5....(1)
5x+2y=4...(2)
Let's substitute (1) into (2)
5x+2(x-5)=4
5x+2x-10=4
7x-10=4
Add 10 to both sides
7x=14
Divide both sides by 7
x=2
Substitute the value for x into (1)
y=x-5
y=2-5
y=-3
Therefore x is 2,y is-3
Answer:
x = 2, y = -3
Step-by-step explanation:
y= x - 5
5x + 2y = 4
5x + 2(x - 5) = 4
5x + 2x - 10 = 4
7x = 14
x = 2
y = 2 - 5
y = -3
Find the equation of the axis of symmetry of the following parabola algebraically:
y=-5x²+20x
Answer:
x= 2
Step-by-step explanation:
hello :
y= -5x²+20x a= -5 b= 20
the axis symmetry is the line when an equation is : x = -b/2a
x= -(20)/2(-5)
x= 2
The equation of axis of symmetry of the given parabola is x =2
What is a parabola?A parabola is a plane curve drawn so that any point on it is the same distance from the focus and the directrix.
Given is an equation of parabola, y= -5x²+20x
a= -5 b= 20
the axis of symmetry is the line when an equation is : x = -b/2a
x= -(20)/2(-5)
x= 2
Hence, The equation of axis of symmetry of the given parabola is x =2
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find the discrimant of 7x^2+3x+9=0
Answer:
I don't know what that is
I need help with this ??
Answer: dang good luck with that
Step-by-step explanation:
sorry
What is the slope intercept of the equation of the line through the given point (0,3) and (-4,-1)
Answer:
y=x+3
Step-by-step explanation:
1.) Find slope
slope = (-1-3)/(-4-0)
= -4/-4
= 1
2.) Use point slope form
y-y1= m (x-x1)
both x1 and y1 are the points
m is the slope
3.) Plug in the numbers
for the points I chose (0,3) to plug in
y-3= 1 (x1-0)
y-3= x
y= x+3
1/3d=45 it is a equation math problem
Answer:
d = 135
Step-by-step explanation:
OK. Let's start by setting up the equation:
1/3d = 45
Now we multiply each side by 3 to get rid of the fraction:
d = 135.
Check:
135 divided by 3 is what we will solve next:
That equals 45.
Thus, d = 135 is correct.
Answer: 135
Step-by-step explanation:
1/3d=45
It can still be writing as
D/3=45
Cross multiply
D=45×3
D=135
vanessa invested $2500 into an account that will increase in value 3.5% each year. write an exponential function, then find the value of the investment after 20 years
Answer: A = 2500 (1.035)^n
A= $ 4,974.47
Step-by-step explanation:
A=P(1+r)^n
A= Amount
P= Principal
R= rate
N= # of years
A= 2500(1.035)^n
N=20
2500(1.035)^20
A= 4,974.47
Which point on the number line represents 18?
A) E.
B) F
C) G
D) H
Answer:
E
Step-by-step explanation:
The square root of 18 is about 4.2, which means that it is slightly larger than 4. The only letter on the number line that fits this description is letter E. Hope this helps!
Point E is the location on the number that represents √18. Then the correct option is A.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The expression in the radical form is given below.
⇒ √18
We know that the value of the radical expression in the decimal number will be 4.24.
Then the location of the point will be after 4 and before 5.
The point E is the location on the number that represents √18. Then the correct option is A.
More about the number line link is given below.
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What is the surface area of the cone? Express your answer in terms of π.
Answer:
surface area of a cone = 132.935πft
Step-by-step explanation:
to find the surface area of a cone
given that
radius = 5ft
height of cone = 21ft
recall that the formulae for finding the surface area of a cone = πr( r + √ h² + r²)
so,
surface area of a cone = πr( r + √ h² + r²)
surface area of a cone = π x 5( 5 + √ 21² + 5²)
surface area of a cone = 5π ( 5 + √ 441 + 25)
surface area of a cone = 5π( 5 + 21.587)
surface area of a cone = 5π (26.587)
surface area of a cone = 132.935πft
what is the approximate area of the circle show below
Answer:
C
Step-by-step explanation:
The area of a circle can be found using
a=πr^2
First, we need to find the radius, because we have the diameter
The radius is half of the diameter
r=d/2
r=16/2
r=8
Substitute 8 in for r in the area formula
a=πr^2
a=π8^2
a=π64
a=201.06192983 cm^2
Approximately 201 cm^2, or choice C
Hope this helps!
Kevin buys 5.5 lb of sliced ham for $30.80 at that unit price how much will 7 lb of sliced ham cost
5.5 : 30.80 = 7 : x
x = 7 * 30.80 / 5.5 = $39.20
Answer: $39.20
Answer:
39.20 dollars
Complete the missing value in the solution to the equation -4x-y=24. (__,8)
We are given y.
-4x - 8 = 24
~Add 8 to both sides
-4x - 8 + 8 = 24 + 8
~Simplify
-4x = 32
~Divide -4 to both sides
-4x/-4 = 32/-4
~Simplify
x = -8
Best of Luck!
Answer:
(56,8)
Step-by-step explanation:
-4x-y=24
-y=4(8)+24
-y=32+24
-y=56
y=56
Find the area of the figure. Use 3.14 for y, and round your answer to the nearest tenth.
Rectangle capped by a right triangle on one end and a semicircle on the other
6 yd
4 yd
9 yd
a 42.6 sq. yd
b. 36.3 sq yd
42.3 sq. yd
d. None of these
Please select the best answer from the choices provided
OA
pls give me brainliest :)
Answer:
B.) 36.3 sq. yd
Step-by-step explanation:
To find the area of a rectangle is l x w (length multiplied by width) The length of the rectangle is 6 yards and the width is 4.
6 x 4= 24
Now you need to find the area of a triangle. To find the bottom or base of the triangle you must subtract 6 from 9. (6 being the top of the rectangle and 9 being the base.) which should give you 3. Now that we have the base of the triangle we can find the area of the triangle using the formula which is b x h/ 2 (base multiplied by height divided by 2) b= 3 and h= 4. 3 x 4= 12 divided by 2 equals 6.
Last we need to find the area of the half circle, based off the side of the rectangle we can say the diameter of the circle is 4. The radius is half of the diameter 4/2 = 2. The formula to find the area of a circle is A= πr^2
π(2^2) = 12.57 and because its a half circle we divide it by 2 which equals 6.285
Now we add all the areas of each shape so, 24+6+6.285 which equals 36.3
Answer = B.) 36.3
pls give me brainliest :)
Consider quadrilateral BCEF inscribed in circle A. Diagonals EB and CF intersect at point D. Select all the statements that are true about the diagram above
Answer:
[tex]m\angle ECB+m\angle EFB=180[/tex]
[tex]m\angle CDB\cong m\angle EDF[/tex]
[tex]m\angle CDB+m\angle DCB+m\angle CBD=180 \degree[/tex]
Step-by-step explanation:
From the diagram, quadrilateral BCEF is a cyclic quadrilateral.
Opposite angles if a cyclic quadrilateral sum up to 180°
[tex]m\angle ECB+m\angle EFB=180[/tex]
The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.
[tex]m\angle CDB\cong m\angle EDF[/tex]
Also sum of angles in triangle CBD is 180°.
[tex]m\angle CDB+m\angle DCB+m\angle CBD=180 \degree[/tex]
Which of the following would be the most effective means of controlling current water pollution of United States surface
waters?
Answer:
Reducing storm runoff and erosion. This would be the most effective means of controlling current water pollution of US surface waters.
Which of the following numbers are composite?
1
31
56
91
Answer: 56!
Step-by-step explanation: all of the numbers except 56 do not have any factors except one and itself. you can also tell in this case, that 56 is automatically composite because the ones digit is 6- an even number, meaning it can be divisible by two.
Answer:
56
Step-by-step explanation:
A composite number is a number that can be divided evenly by more numbers than 1 and itself. The number 56 can be evenly divided by 1, 2, 4, 7, 8, 14, 28 and 56, (with no remainder). Since 56 cannot be divided by just 1 and 56, it is a composite number.
Hopefully this helps!