if ABC and GEF are congruent by the ASA criterion, which pair of angles must be congruent
Answers
The pair of angles that must be congruent for the given pair of congruent triangles are ∠CAB and ∠GEF.
The ASA criterion states that two triangles are congruent if two angles and the included side of one triangle are equal to the two angles and the included side of the other triangle.
In the figure, we have:
∠ABC = ∠GEF (given)
∠ACB = ∠EGF (included angles)
AC = EG (included side)
Therefore, by the ASA criterion, triangles ABC and GEF are congruent.
The other possible pairs of congruent angles are:
∠ACB and ∠FEG
∠CAB and ∠EGF
∠ABC and ∠GFE
However, none of these pairs of angles are included angles.
Therefore, the only pair of congruent angles that must be congruent is ∠CAB and ∠GEF.
learn more about angles here
brainly.com/question/30147425
#SPJ3
The above question is incomplete, the complete question is:
if ABC and GEF are congruent by the ASA criterion, which pair of angles must be congruent
Attached figure.
Related Questions
The measure of an angle is 63 degrees. What is the measure if it’s supplement
Answers
The required angle is measured as 117 degrees which it's a supplement, the measure is 63 degrees.
What are supplementary angles?Supplementary angles are defined as angles whose pairings sum up to 180°. Supplementary angles are classified into two categories.
Angles that are adjacent: Supplementary angles are of the type adjacent angles. Adjacent angles share a side and a vertex, such as a corner point. Their points are not in any sense overlapping. In other terms, adjacent angles are pairs of two angles near each other.
We have been given that the measure of an angle is 63 degrees.
To determine the measure if it’s a supplement
We know that supplementary angles whose pairings sum up to 180°
Let the required supplement angle would be x
As per the property of supplementary angles, we can write the equation as:
⇒ x + 63° = 180°
⇒ x = 180° - 63°
⇒ x = 117°
Therefore, the measure of its supplement angle is 117 degrees.
Learn more about supplementary angles here:
brainly.com/question/3027144
#SPJ6
Please answer 2 3 4 and explain how you got your answer I will give brainliest must explain for all 3
Answers
On the first day of a conference, 10 rows of 6 chairs are set out in a meeting room. The second day, in the same room, 3x more rows with 5x more chairs are set out. Which of the following equations could be used to determine the number of chairs set out in the meeting room on the second day?
A. y = (15x^2 + 60) chairs
B. y = (15x^2) chairs
C. y = (15x^2 + 16) chairs
D. y = (15x^2 +68x +60) chairs
Answers
We have then:
first day of a conference:
10 rows of 6 chairs are set out.
number of chairs set out: (10) * (6) = 60
Second day of a conference:
3x more rows with 5x more chairs are set out.
number of chairs set out: (3x + 10) * (5x + 6) = 15x ^ 2 + 18x + 50x + 60
number of chairs set out: 15x ^ 2 + 68x + 60
Answer:
to determine the number of chairs set out in the meeting room on the second day we use:
D. y = (15x ^ 2 + 68x +60) chairs
identify each coefficient.
1. 8x _
2. 3m _
3. y_
4. 14t _
Answers
1.) 8x —> 8 • x —> The coefficient is 8
2.) 3m —> 3 • m —> The coefficient is 3
3.) y —> (1) • y —> The coefficient is 1
4.) 14t —> 14 • t —> The coefficient is 14
In a scale drawing of an apartment 1 centimeter represents 2 3/4 feet. If the length of the kitchen is 4 1/2 centimeters on the scale drawing, what is the actual length in feet of the kitchen
Answers
For the solution of this question we will use a technique called the Unitary Method. In this method we find the value of a single unit, which is 1, and then finding the necessary value by multiplying the single unit value.
In our case we are already given the value of the single unit which is 1 centimeter. And it is also given in the question that 1 centimeter =2 3/4 feet. Thus, If the length of the kitchen is 4 1/2 centimeters on the scale drawing, then the actual value of the length of the kitchen will be:
Length = [tex] 2\frac{3}{4}\times 4\frac{1}{2} = \frac{11}{4}\times \frac{9}{2}=\frac{99}{8} =12\frac{3}{8} [/tex] feet
The width of a rectangular garden is 9 feet, and its length is 12 feet. Three of these expressions equal the perimeter of the garden, in feet.
Answers
perimeter = sum of all the sides of the rectangle
rectangle consists of 4 sides of which longer sides are called the length - L and shorter side is the width - W.
There are 2 lengths and they are equal and 2 widths and they are equal in size. perimeter = L + L + W + W = 2L + 2W
substituting the values in the equation
P = 2L + 2W
P = (2 x 12) + (2 x 9)
P = 24 + 18 = 42 feet
Answer with explanation:
Width of Rectangular Garden = 9 feet
Length of rectangular Garden = 12 feet
Perimeter of any polygon = Sum of length of all sides
Perimeter of Rectangle =Length + Breadth+Length + Breadth
= 2×(Length + Breadth )
= 2 × (12 +9)
= 2 × 21
= 42 feet
So,the expression which will be equal to perimeter of Rectangle =42 feet
Can ya help me I can give ya 20 points please help :)
Answers
I'm not absolutely sure this is correct but this is how we did it when I was in elementary school.
ps. You can check if you have the right final answer afterward online or with a calculator
Answer:
okkkkkkkkkkkkk
Step-by-step explanation:
what is the area of a circumference 37.7
Answers
πD = 37.7
D = 37.7/π
D = 12 units
radius = 1/2 x D
radius = 1/2 x 12
Radius = 6 units
Area = πr²
Area = π(6)² = 113 unit²
The area of circle of circumference 37.7 is 112.76 .
What is area of circle?The area of a circle is pi times the radius squared (A = π r²)
where ,
A = Area of circle
r = radius of circle
What is circumference of circle?The circumference of a circle is defined as the linear distance around it.
C=2πr
where ,
c = circumference of circle
r = radius of circle
According to question
Circumference = 37.7
2[tex]\pi r\\[/tex] = 37.7
[tex]\pi r[/tex] = 18.85
[tex]\frac{22}{7}r[/tex]=18.85 ([tex]\pi = 22/7[/tex])
r = 18.85 × [tex]\frac{7}{22}[/tex]
r = 5.99
Now area of circle = [tex]\pi r^{2}[/tex]
Area of circle = [tex]\frac{22}{7} * 5.99^{2}[/tex]
Area of circle = 112.76
Hence , the area of circle is 112.76 .
to know more about Area of circle and Circumference here
https://brainly.com/question/17130827
#SPJ2
Need help with this, thanks.
Answers
14. 2(x+4)
15. 24
16. 11(x+5)
17. 6(4x+3y)
18. 8(2x+10y)
19. 5(2x+3)
Hope this helped☺☺
Answer:
13. 27 + 12 = 39
14. 2x+8/2 = 2(x + 4)
15. 8+ 16 = 24
16. 11x=55/11 = 11(x + 5)
17. 24x + 18y/6 = 6(4x + 3y)
18. 16x + 40y/8 = 8(2x + 5y)
19. 10x + 15/5 = 5(2x + 3)
I truly hope that this was helpful.
rewrite the radical in exponential form
Answers
[tex] \sqrt[4]{10v} = \sqrt[4]{10} \times \sqrt[4]{v} [/tex]
There are 136 people waiting for a river raft ride.Each raft holds 8 people Silvia
Answers
Here is your answer:
The proper answer to this question is that they need "17 rafts".
Here is how:
All you have to do is divide 136 by 8!
Use this equation:
136/8=17
Your answer is 17 rafts.
If you need anymore help feel free to ask me!
Hope this helps!
how to answer 6x+19x+4=2x-1 with the quadratic formula
Answers
6x² + 19x+ 4 = 2x -1
The general form of the quadratic equation is:
ax² + bx + c = 0
We need to put our equation in general form:
6x² + 19x+ 4 = 2x -1
6x² + 19x+ 4 - 2x +1 = 0
6x² + 17x + 5 = 0
By comparing our equation with the general form, we would find that:
a = 6
b = 17
c = 5
Now, to get the solution, we will substitute with the values of a, b and c in the quadratic formula shown in the attached image
This will give us the following solutions:
either x = [tex] \frac{-17+ \sqrt{(17)^2-4(6)(5)} }{2(6)} = \frac{-1}{3} [/tex]
or x = [tex] \frac{-17- \sqrt{(17)^2-4(6)(5)} }{2(6)} = \frac{-5}{2} [/tex]
Hope this helps :)
I'll give brainliest if you show your work. Plz hurry.
Which statements are true? Check all that apply.
A square root of 1.8<1.8 (This 1.8 is not Square root)
A square root of 1.8>1 (This 1 is not a Square root)
A square root of 1.8< 1.9 (This 1.9 IS IS IS a square root)
1.3
A square root of 1.9+ the square root of 1.8>2
A square root of 1.9- the square root of 1.8>0.1
Answers
Answer:
Step-by-step explanation:
Given are some statements and we have to check which are true
I) True since [tex]\sqrt{1.8} =1.341<1.8[/tex]
2) True since [tex]\sqrt{1.8} =1.341>1[/tex]
3) True [tex]\sqrt{1.8} =1.341<\sqrt{1.9}[/tex]
4) True since [tex]\sqrt{1.9} +\sqrt{1.8} \\=1.378+1.341\\=2.719>2[/tex]
5) False since
[tex]\sqrt{1.9} -\sqrt{1.8} =1.378-1.341\\=0.037<0.1[/tex]
Answer:
1234
Step-by-step explanation:
The figures shown are similar. What is the scale factor? Diagram contains two trapezoids. The first has a base of 21. The second has a base of 14.
Answers
The correct answer could also be 14 / 21 which is 2/3
Which one to use depends on what the convention is in your classroom.
Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot what is the width of Claire's backyard
Answers
If Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot, then the width of Claire's backyard would be 12 feet.
To find the width of Claire's backyard, we'll first calculate the perimeter of the rectangle using the given length and the total cost of fencing. Then, we'll use the perimeter to find the width.
The perimeter of a rectangle is given by the formula:
[tex]\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \][/tex]
Given that the length of Claire's backyard is 19.5 feet and the total cost of fencing is $945 at $15 per foot, we can calculate the perimeter using the cost of fencing:
[tex]\[ \text{Perimeter} = \frac{\text{Total cost}}{\text{Cost per foot}} \][/tex]
[tex]\[ \text{Perimeter} = \frac{945}{15} = 63 \text{ feet} \][/tex]
Now, we'll use the perimeter formula to find the width:
[tex]\[ 63 = 2 \times (19.5 + \text{Width}) \][/tex]
Divide both sides by 2:
[tex]\[ 31.5 = 19.5 + \text{Width} \][/tex]
Subtract 19.5 from both sides:
[tex]\[ \text{Width} = 31.5 - 19.5 = 12 \text{ feet} \][/tex]
So, the width of Claire's backyard is 12 feet.
The complete question is:
Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot what is the width of Claire's backyard
a recipe calls for 4 tsp of baking soda and 1 fl oz of vanilla which measurment is greater?
Answers
In this problem, you are asked to compare two measurements in different units of measure. The first step to solve this problem is to make the other measurement have the same unit of measure as the other one. You convert 4 tablespoon to fl oz.
1 tsp = 0.5 fl oz
4 tsp = 2 fl oz
Comparing the two measurements, you can conclude that the 4 table spoon (equivalent to 2 fl oz) of baking soda is greater than 1 fl oz of vanilla.
Which polynomial does this sum of tiles represent?A
Answers
The second is x^2 + 2x + 4
If you added those both up, you'd get 2x^2 + 4x + 6 so your answer would be A.
Answer:
The polynomial result sum is [tex]2x^{2} +4x+6[/tex]
Step-by-step explanation:
To calculate the sum of the polynomial expressions first we have to write individually each one and sum the terms of it:
Fisrt one: [tex]x^{2} + x + x+ 1 + 1 = x^{2} +2x+2[/tex]
Second one: [tex]x^{2} +x+x+1+1+1+1=x^{2} +2x+4[/tex]
Now having both equations in simplified form we can sum them:
[tex]x^{2} +2x+2+x^{2} +2x+4=2x^{2} +4x+6[/tex]
So the sum of the polynomial equations is: [tex]2x^{2} +4x+6[/tex]
A right rectangular prism has a length of 7 centimeters, a width of 5 centimeters, and a height of 4 centimeters. What is the volume of the prism? Enter your answer in the box.
|____|cm³
Answers
The volume of the right rectangular prism with dimensions of 7 cm by 5 cm by 4 cm is 140 cubic centimeters (140 cm³).
To calculate the volume of a right rectangular prism, you can use the formula: Volume (V) = length (l) × width (w) × height (h). For a prism with a length of 7 centimeters, a width of 5 centimeters, and a height of 4 centimeters, the volume is calculated as follows:
V = 7 cm × 5 cm × 4 cm
V = 35 cm × 4 cm
V = 140 cm³
So, the volume of the prism is 140 cubic centimeters (140 cm³).
You are biking to the park. After 6 minutes, 40% of the distance still needs traveled. How long does it take to bike to the park? Write an equation that represents the percent y of the distance that still needs traveled after x minutes.
An equation is y= ___ It takes minutes to bike to the park.
It takes ____ minutes to bike to the park.
SOLVE FOR BLANKS
Answers
Final answer:
The student takes 10 minutes to bike to the park. The equation representing the percent of the distance still to be traveled after x minutes is y = 100 - 10x.
Explanation:
To solve for the total time it takes to bike to the park, we need to consider that after 6 minutes, 40% of the distance still needs to be traveled. This implies that in those 6 minutes, the student has completed 60% of the journey. If 6 minutes represent 60%, we can find the time representing 100% of the journey (the total time to bike to the park) by setting up a proportion where x is the total time.
60% of x = 6 minutes
(0.60)x = 6
x = 6 / 0.60
x = 10 minutes
Therefore, the equation that represents the percent y of the distance that still needs traveled after x minutes is y = 100 - 10x. To verify, after 6 minutes (when x = 6), the equation gives us y = 100 - 10(6), which is y = 100 - 60, and that equals 40%. This matches the initial condition that 40% of the distance is left at that point.
It takes 10 minutes to bike to the park.
What is the area=___
Answers
We must use a certain formula to find the area of a circle. The formula is:
A = pi × r^2
This means that we must multiply pi by the radius squared.
Pi = Approximately 3.14
Radius = 3 inches
Substitute:
A = pi × r^2
A = 3.14 × 3^2
A = 3.14 × 9
A = 28.26
ANSWER:
The area of the circle is 28.26 inches squared.
Which of the following options is a better purchase for a microwave? A. $5 down with equal payments of $10 for 15 weeks B. $10 down with equal payments of $5 for 24 weeks C. $0 down with equal payments of $15 for 9 weeks D. $20 down with equal payments of $10 for 11 weeks
Answers
B. $10 down with equal payments of $5 for 24 weeks.
The lines shown below are parallel. If the green line has a slope of -3/7, what is the slope of the red line?
Answers
For the given condition of lines to be parallel, slope of red line is same as green line which is equal to [tex]\frac{-3}{7}[/tex].
What are parallel lines?" Parallel lines are defined as the lines in the same plane with equal distance between them and do not intersect in the same plane."
What is the slope?" Slope is defined as the ratio of increment in the y-coordinates to the x-coordinates."
Condition of slope for two parallel lines
[tex]y = m_{1} x + c_{1}\\\\y = m_{2} x + c_{2}[/tex]
[tex]m_{1}[/tex] and [tex]m_{2}[/tex] represents the slope of parallel lines.
As slope of parallel lines always equal.
Therefore,
[tex]m_{1} = m_{2}[/tex]
According to the question,
Given,
The slope of the green line [tex]= \frac{-3}{7}[/tex]
Condition given,
Lines are parallel.
Using the condition of slope of parallel lines we have,
The slope of the parallel lines is always equal.
Therefore,
The slope of the red line [tex]= \frac{-3}{7}[/tex]
Hence, the slope of the red line [tex]= \frac{-3}{7}[/tex] as per the given lines is parallel.
Learn more about parallel lines here
brainly.com/question/16701300
#SPJ2
This graph shows the linear relationship between the time in seconds, x, for Caroline's walk and the distance in meters, y, Caroline is from her starting point. The graph passes through the point (20,30). According to the graph, how many meters will Caroline walk in exactly one hour?
Answers
Answer:
5400
Step-by-step explanation:
There are 3600 seconds in a hour.
y=1.5(3600)
y=5400
The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).
Answers
|BC|²+|CD|² = |BD|²
8² + 8² = |BD|²
|BD|² = 8²·2
|BD| = √[8²·2]
|BD| = 8√2
II. Circular segment BCD is a quater of circle (because ∡BCD=90°)
R=8
So the lenght of arc BD: [tex]L_{BD}=\frac14\cdot 2\pi\cdot R = \frac12\cdot\pi\cdot8 = 4\pi [/tex]
Perimeter of the figure:
[tex]P=|BC|+L_{BC} = 8\sqrt2+4\pi = 4(2\sqrt2+\pi)\ \text{in}[/tex]
The area of circular segment BCD:
[tex]A_{BCD}=\frac14\cdot \pi R^2 =\frac14\cdot \pi\cdot 8^2 =\frac14\cdot \pi\cdot 64 =16\pi[/tex]
III. The area of triangle BCD:
[tex]A_{\Delta BCD}=\frac12\cdot8\cdot8=32[/tex]
IV. The area of figure:
[tex]A=A_{BCD}-A_{\Delta BCD}=16\pi-32=16(\pi-2)\ \text{in}[/tex]
Answer:
A=16(pi-2),p=4(2 sqrt2+pi)
Step-by-step explanation:
Enter the explicit rule for the geometric sequence. 120, 40, 403, 409, 4027, ...
a(n)=
Answers
The explicit rule is of the form
[tex]a_n=a_1(r)^{n-1}[/tex],
where a₁ is the first term and r is the common ratio (what we're multiplying by).
The first term of our sequence is 120.
The common ratio can be found by dividing a₂ by a₁:
40/120 = 1/3
We then plug those into our explicit rule.
The explicit rule for the given geometric sequence is [tex]a(n) = 120 \times (1/3)^{n-1}[/tex].
A geometric sequence is a sequence in which each term after the first is found by multiplying the previous term by a constant called the common ratio.
For the given sequence: 120, 40, 40/3, 40/9, 40/27, ... let's determine the explicit rule.
Identify the first term, a:
The first term is 120.
Determine the common ratio, r:
The ratio of any term to the previous term is 40 / 120, which simplifies to 1/3.
Write the explicit rule:
The nth term of a geometric sequence is given by the formula:
[tex]a(n) = a \times r^{n-1}[/tex]
Here, a = 120 and r = 1/3, so the explicit rule is:
[tex]a(n) = 120 \times (1/3)^{n-1}[/tex]
Complete question:
Enter the explicit rule for the geometric sequence. 120, 40, 40 / 3, 40 / 9, 40 / 27, ...
a(n)=
The scatter plot shows the relationship between the weekly hours spent on social media and the weekly hours spent reading, by the students of a middle school:
What is the y-intercept of the line of best fit and what does it represent?
6 hours; the number of hours students read when they do not spend time on social media
6 hours; the number of hours students spend time on social media when they do not read
8 hours; the number of hours students read when they do not spend time on social media
8 hours; the number of hours students spend time on social media when they do not read
Answers
Answer:
The correct answer is - 8 hours; the number of hours students spend on social media when they do not read.
Step-by-step explanation:
The y intercept is marked as hours spent on social media.
So, the answer is :
8 hours; the number of hours students spend on social media when they do not read.
is each expression equivalent to 2x^2 - 50?
a 2(x-5)(x+5)
b -2(x+5)(x+5)
c -2(5-x)(x+5)
Say yes or no for each one
Answers
Final answer:
The original expression 2x² - 50 is equivalent to option a) 2(x-5)(x+5) and option c) -2(5-x)(x+5), but not to option b) -2(x+5)(x+5).
Explanation:
The student has asked whether each given expression is equivalent to 2x² - 50.
a) 2(x-5)(x+5): Yes, this is equivalent to 2x² - 50 because when you apply the difference of squares formula, you get 2(x² - 25), which simplifies to 2x² - 50.
b) -2(x+5)(x+5): No, this results in -2(x² + 10x + 25), which simplifies to -2x² - 20x - 50, and is not equivalent to 2x² - 50.
c) -2(5-x)(x+5): No, this expression simplifies to -2(-x² - 5x + 5x + 25) or 2x² - 50, which is actually equivalent to the original expression. The negative sign inside the parentheses changes the sign of x when multiplied by the outside negative factor, leading to a positive result for the x² term.
Find the supplement of an angle that measures 20 degrees.
A) 50 degrees
B) 70 degrees
C) 90 degrees
D) 160 degrees
Answers
The supplement of an angle that measures 20 degrees will be 160°. Then the correct option is D.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The one angle is 20 degrees. Then the other angle is given as,
x + 20° = 180°
x = 180° - 20°
x = 160°
The supplement of an angle that measures 20 degrees will be 160°. Then the correct option is D.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ6
Which of the following are geometric sequences?
(check all that apply)
A. 2,-2,2,-2,2,-2,2
B. 1,4,9,16,25,36,49
C. 10,5,2.5,1.25,0.625,0.1325
D. 1,2,4,8,16,32
Answers
C. 10,5,2.5,1.25,0.625,0.1325
and
D. 1,2,4,8,16,32
Are all geometric sequences
This means that each sequential # is derived by either multiplying or dividing by a number.
For instance, A. is found by multiplying each by - 1, B. is found by multiplying each by 1/2 (0.5), and D. is found by multiplying each by 2
incorrect, 4.3.37
In how many ways can a committee of four
men and three
women be formed from a group of ten
men and six
women?
Answers
[tex]C_{10}^4\times C_6^3\\\text{wherein }C_n^k=\dfrac{n!}{k!(n-k)!}.\text{ Using the formula we get:}\\C_{10}^4\times C_6^3=\dfrac{10!}{4!(10-4)!}\dfrac{6!}{3!(6-3)!}\\=4200[/tex]
(Use a calculator in order to reach the above result.)
So tête number of ways is 4200.