Prove: m/EIF = m/GIH
Step
m/EIF+m/FIG = 180
m/FIG+m/GIH
= 180
m/EIF+mZFIG= m/FIG+mZGIH
m/EIF = m/GIH
Reason
Distributive Property Transitive Property of Equality Definition of Supplementary Angles
Subtraction Property of Equality Multiplication Property of Equality Simplify
Division Property of Equality Reflexive Property of Equality Addition Property of Equality
Substitution Property of Equality Definition of Complementary Angles
An
13
Se
Tea
16
Finis
Answers
The question is incomplete. Below you will find the missing content in the figure.
Prove: m/EIF = m/GIH
Step Reason
m∠EIF+m∠FIG = 180°
m∠FIG+m∠GIH= 180°
m∠EIF+m∠FIG= m∠FIG+m∠GIH
m∠EIF = m∠GIH
The figure is shown below.
The correct answer is m∠EIF = m∠GIH
Here lines FH and GE intersect each other at the point I.
we have to prove the angle
m∠EIF = m∠GIH
so,
m∠EIF+m∠FIG = 180° as angels ∠EIF and ∠FIG forming a linear pair summing up to 180°. angels ∠EIF and ∠FIG form straight angels on a line EG.
m∠FIG+m∠GIH= 180° as angels ∠FIG and ∠GIH forming a linear pair summing up to 180°. angels ∠FIG and ∠GIH form straight angels on a line FH.
m∠EIF+m∠FIG= m∠FIG+m∠GIH because of the substitution property of equality. we replace 180° by m∠FIG+m∠GIH.
m∠EIF = m∠GIH because of the subtraction property of equality. We can subtract the same elements from both sides by the subtraction property of equality.
Therefore m∠EIF = m∠GIH.
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Related Questions
I need help with my geometry proof homework from 2-3
Answers
Answer: Tbh i don’t know anything besides that all the angles are equal to another and you have to prove it. I would just say: “90 degrees = 90 degrees
Sorry mate I can’t help
Step-by-step explanation:
The domain of the piecewise function is (-infinity,infinity).
a. Graph the function.
b. Use your graph to determine the function's range.
f(x) =
3x if x≤0
3 if x>0
Answers
Answer:
The condantrnirte will be 3x if x is 0 (underfined)
Step-by-step explanation:
Chad has a rope that is 24 yards long. How many pieces of rope measuring of a yard can he divide his rope into1/4
Answers
The pieces of rope measuring a yard can he divide his rope into1/4 would be 96.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Chad has a rope that is 24 yards long. He wants to divide the rope so each piece will be 1/4 yards
= 24÷1/4
= 24× 4
= 96
Hence he can divide the rope into 96 pieces.
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28.6% of city employees ride the bus to work. Last year, 29.7% of city employees rode the bus to work. What is the relative change from last year to this year?
(Express your answer rounded correctly to the nearest tenth of a percent!)
Answers
A percentage is a way to describe a part of a whole. The relative change from last year to this year is 3.7%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
28.6% of city employees ride the bus to work, therefore, the final value is 28.6. While Last year, 29.7% of city employees rode the bus to work, therefore, the initial value is 29.7.
Since relative change means change with respect to some value. Thus, the relative value with respect to last year is,
Relative value = (29.7-28.6)/29.7 = 0.037 = 3.7%
Hence, the relative change from last year to this year is 3.7%.
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The cost of renting a car is $47 /week plus $0.25 /mile traveled during that week. An equation to represent the cost would be y=47+0.25x , where x is the number of miles traveled.
Answers
Answer:
a. 61.25
b. 70
c. 212
Step-by-step explanation:
a. What is your cost if you travel 57 miles?
The cost is $ .
y=47+0.25x
y=47+0.25(57)
y=47+14.25
answer: 61.25
b. If your cost was $64.50, how many miles were you charged for traveling?
You were charged for traveling miles.
64.50-47=0.25x
17.50=1/4x
17.50*4
answer 70=x
c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
The maximum number of miles you could travel is miles.
100-47
53=1/4x
answer : x= 212
What is the scale factor from AABC to ADEF?
B
48
AA
6
A4 CE
48
6
O A.
C
B. 8
32
D
Answers
Answer: 8
Step-by-step explanation:
We are going from a smaller triangle to a larger triangle, so the scale factor is greater than 1.
Eliminate A and D.We know scale factor = (image)/(preimage), so the scale factor is 32/4 = 8
The scale factor of dilation of the triangle is k = 8
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔDEF
where the measures of sides of ΔABC are
AB = 6 , BC = 6 and AC = 4
The measure of sides of triangle ΔDEF are
DE = 48 , EF = 48 and DF = 32
The scale factor of dilation k = measure of side DE / measure of side AB
k = 48 / 6
k = 8
Hence , the dilation factor is k =8
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114
4. Line p contains point (6,-5) and is perpendicular to line q. The equation for line gis y = 3x + 5.
Write an equation for line p.
Part I: Find the slope of line q. (1 point)
Part II: Find the slope of line p. (Write the negative reciprocal of the slope you found in Part I.) (1 point)
that
Part III: Use the point given for line p and the slope you found in Part II to write an equation for line pin
point-slope form: y - y₁ = m(x-x₁). (1 point)
Answers
Line q has slope 3, as you've found.
Any line perpendicular to q will then have slope -1/3, as you've found.
Line p thus has slope -1/3 and we know it passes through (6, -5), so from the point-slope formula we get the equation
[tex]y - (-5) = -\dfrac13 (x - 6) \implies \boxed{y + 5 = -\dfrac13 (x - 6)}[/tex]
Select the point that is a solution to the system of inequalities.
y≤2x-2
y≤ x²-3x
Answers
Both statements are true. Therefore (4,2) is a solution and option D is correct.
The given inequalities are [tex]y\leq 2x-2[/tex] and [tex]y\leq x^{2} -3x[/tex].
We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).
What is an example of a system of inequalities in real life?Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.
Any point is a solution to this system of inequality if it satisfies both inequalities.
Check the inequalities by each option.
For (-2, -1), [tex]-1\leq 2(-2)-2 \implies -1\leq -6[/tex].
This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.
For (1, 3), [tex]3\leq 2(1)-2 \implies 3\leq 0[/tex]
This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.
For (2,1), [tex]1\leq 2(2)-2 \implies 1\leq 2[/tex].
[tex]1\leq 2^{2} -3(2) \implies 1\leq -2[/tex]
This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.
For (4,2), [tex]2\leq 2(4)-2 \implies 2\leq 6[/tex]
[tex]2\leq 4^{2} -3(4) \implies 2\leq 4[/tex]
Both statements are true. Therefore (4,2) is a solution and option D is correct.
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What is the greatest common factor of 20 and 36?
2
4
5
6
Answers
Answer:
GFC = 4
Step-by-step explanation:
Factors of 20 1 2 4 5 10 20
Factors of 36 1 2 3 4 6 9 12 18 36
Answer:4
Step-by-step explanation:nice and simple
Which expression is equivalent to this polynomial?
x2+12
OA. (X +2v3i)(c – 2v3i)
OB. (x+6i)(x - 6i)
OC. (x + 2√3)²
OD. (x + 2√3)(x − 2√3)
Answers
x² + 12 is equivalent to the polynomial (x + 2[tex]\sqrt{3}[/tex]i) (x + 2[tex]\sqrt{3}[/tex]i).
What are Polynomials?Polynomials are defined as algebraic expressions consisting of constants, variables and exponents combined using operations like addition, multiplication, subtraction and division.
The given expression is x² + 12.
We have the identity (a + b) (a - b) = a² - b²
(x + 2[tex]\sqrt{3}[/tex]i) (x + 2[tex]\sqrt{3}[/tex]i) = x² - (2[tex]\sqrt{3}[/tex]i)²
= x² - (2² × √3² × i²)
We know that i² = -1, where i is the imaginary number in complex numbers
(x + 2[tex]\sqrt{3}[/tex]i) (x + 2[tex]\sqrt{3}[/tex]i) = x² - (4 × 3 × -1)
= x² + 12
Hence we get that (x + 2[tex]\sqrt{3}[/tex]i) (x + 2[tex]\sqrt{3}[/tex]i) is equivalent to x² + 12.
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4. In 2010, the amount in Raja's account was 40 Lakhs. He debited 8000 in 2011, and in 2012, he debited 2,07,000. In 2013, he credited 1,16,000, and in 2014 he credited 12,000. How much more he has to credit to be worth what it was at at the start of 2010
Answers
Answer:
don't know is is mathematics or any other subject
This is a lengthy math problem. Help please! Thank you
Answers
Step-by-step explanation:
look at the attached and just plot the data. S on the x-axis and s(x) on the y-axis.
Line AB and line BC form a right angle at point B with points A(2,5) and B(8,3) . What is the equation of line BC ?
Answers
Answer: y = 3x - 21
Step-by-step explanation:
If the lines form a right angle, this means that they are perpendicular. Therefore, we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other (in other words, their slopes multiply to -1).
The slope of AB is [tex]\frac{3-5}{8-2}=\frac{-2}{6}=-\frac{1}{3}[/tex]. This means that the slope of BC is 3.
Substituting into point-slope form,
[tex]y-3=3(x-8)\\\\y-3=3x-24\\\\\boxed{y=3x-21}[/tex]
Please answer all four of the questions I would really appreciate it <3
Answers
B
A
C
These are the answers in order.
Answer:
1)A because 3 < 3.9 < 4
2)C because 8.2<8.23<8.3
3) D because 6.1>5.9
4)B because 3.6<3.625<3.7
Hope it helps!
The parabolas y = -x² and y= -x² - 4x + 6 are graphed below. What are the y-values of the solutions to this system of equations?
y= 1,9
y= 1,6
y= -0,6
y= -3,1
Answers
Answer:
y = 1, 9.
Step-by-step explanation:
They are the y values of the points of intersection of the 2 parabolas.
y = 1, 9.
HELP me find percentage qwq
Answers
Answer:
option B or 40%
Step-by-step explanation:
Well if 14/35 of the class is male. You divide 14 by 35. And after using calculator I see the answer is 40% of the class is male.
Thank
20 percent of 180 hours
Answers
Answer:
36 hours
Step-by-step explanation:
To find the percentage of a number, change the percent to decimal form
20 percent = .20
Multiply this by the number
.20 * 180
36
20 percent of 180 = 36
What factors do the numbers 16 and 36 have in common?
A. 1, 2, 4, 8
B. 1, 2, 4, 6
C. 1,2,4
D. 1, 2, 8, 16
Answers
Answer: C. 1, 2, 4
Step-by-step explanation:
A factor is an integer that is a divisor of a number. In other words, the number can be divided by this integer and result in another integer.
To answer this question, we can list the factors of both numbers. I have underlined and bolded integers that appear in both lists, giving us our answer.
Factors of 16: 1, 2, 4, 8 and 16
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
C. 1, 2, 4
I need help on questions d and e, not sure how to solve!
Answers
D.
[tex]m(x) = 0 \\ - 3x = 0 \\ x = 0[/tex]
E.
[tex]m(x) = \frac{ - 3}{25} [/tex]
[tex] \frac{ - 3x}{x {}^{2} + 2x - 24} = \frac{ - 3}{25} [/tex]
[tex] - 3(x {}^{2} + 2x - 24) = - 3(x)(25) \\ divide \: both \: sides \: by - 3[/tex]
[tex]x {}^{2} + 2x - 24 = 25x[/tex]
[tex]x {}^{2} - 23x - 24 = 0[/tex]
[tex](x - 24)(x + 1) = 0 [/tex]
[tex]x = 24 \\ x = - 1[/tex]
Answer:
D
x=0
Step-by-step explanation:
E)
[tex]\frac{-3x}{x^2+2x-24} =\frac{-3}{25} \\x^2+2x-24=25x\\x^2+2x-25x-24=0\\x^2-23 x-24=0\\x^2-24x+x-24=0\\x(x-24)+1(x-24)=0\\(x-24)(x+1)=0\\x=24,-1[/tex]
A giant tortoise can travel 0.11 miles in 1 hour. At this rate, how long would it take the tortoise to travel 3 miles?
Answers
Answer:
about 27.27 hours.
Step-by-step explanation:
If it can travel 0.11 miles in 1 hour, we need to divide 3 miles by 0.11 miles to get the number of hours it would take to travel 3 miles. 3/0.11 is 27.27 repeating.
Hope this helps!
Answer:
27.27 hours
Step-by-step explanation:
You need to set up a proportion. I did distance over time.
[tex]\frac{.11 mi }{1 hr} = \frac{3 mi}{x hr}[/tex]
Cross multiply
.11x = 3
Divide by .11
x = 27.27
Write a linear equation in slope-intercept form using a slope and a given point. If a line has a slope of short dash 2 and goes through the point open parentheses 1 comma short dash 3 close parentheses, then the equation for the line in slope-intercept form is ______________. a.) y equals short dash 2 x minus 1 b.) y equals short dash 2 x plus 1 c.) y equals 2 x minus 5 d.) y equals 2 x plus 5
Answers
y equals short dash 2 x minus 1
In other words, y = -2x - 1 is the equation
=========================================================
Explanation:
Slope = m = -2
Point on the line is (x,y) = (1, -3)
Use these three items to find the y intercept b
y = mx+b
-3 = -2*1 + b
-3 = -2 + b
-3+2 = b
-1 = b
b = -1
The slope intercept form of y = mx+b turns into y = -2x-1 after plugging m = -2 and b = -1
Need help with this geometric question
Answers
Answer: A
Step-by-step explanation:
[tex]V=\frac{1}{2}(6)(4)(2)=\boxed{24}[/tex]
For the graph y = 12 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explaln your
answer with two or more sentences.
Answers
The line y = 12 has a slope of 0 because it is a horizontal line, meaning that for any change in x, there is no change in y. Ths means the slope of a line parallel to it would be 0 (since parallel lines have the same slope), and the slope of a line perpendicular to it would be undefined (since perpendicular lines have slopes that are negative reciprocals of each other, and when you divide by 0, you get an undefined result).
What is the domain of the function shown on the graph?
Answers
The asnwer is C
for finding domain look at just x-axis from left to right , because there are arrows , so domain is all real numbers or from negative infinity to positive infinity
Please give brainliest
For a population with μ = 60 , X=81, and σ = 12. Find the z-score for 81.
Answers
The z-score for 81 is 1.75
How to determine the z-score for 81?The given parameters are:
μ = 60 , X=81, and σ = 12
The z scores is calculated using:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
Substitute the given values
[tex]z = \frac{81 - 60}{12}[/tex]
Evaluate the difference
[tex]z = \frac{21}{12}[/tex]
Simplify
z = 1.75
Hence, the z-score for 81 is 1.75
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What is the inequality for this verbal description?
Kyle has d dollars to spend at the garden store. He wants to buy one small
tree for $9.00 and s pounds of soil that cost $5.00 per pound. Which
inequality represents this situation?
OA. d≥ 5s +9
OB. d> 5s +9
OC. d<9s +5
O D. d≥ 9s +5
Answers
Answer:
A) d [tex]\geq[/tex] 5s + 9
Answer:
A. d ≥ 5s + 9
Step-by-step explanation:
9.00 is fixed cost5.00 is cost per pound of soilHence, equation will be :
d ≥ 5s + 9 (As d must be greater than/equal to this value for Kyle to afford it)Help me with this I’m stuck!!:)
Answers
The cardinality of the set indicated in the task content is; 11.
What is the cardinality of the set?It follows from the task content that the cardinality of the intersection set of set A compliment and set B compliment is to be determined.
Hence, it follows that the elements in the described set include the elements in set C only and the elements in the compliment of set A, B and C union.
On this note, it follows that the cardinality of the set is; 4 +7 = 11.
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1-tan^2(x)/sec^2 = cos(2x)
Answers
By applying the formula of trigonometric function the right hand side will
be equal to right hand side which is 1-[tex]tan^{2} x[/tex]/[tex]sec^{2}x[/tex]=cos2x.
Given: 1-[tex]tan^{2} x[/tex]/[tex]sec^{2}x[/tex]=cos2x.
Taking right hand side first which is cos2x.
We know that cos2x=[tex]1-tan^{2}x/1+tan^{2}x[/tex]
Now we will solve the left hand side of the equation give which is
1-[tex]tan^{2} x[/tex]/[tex]sec^{2}x[/tex]
=1-[tex]tan^{2}x[/tex]/1+[tex]tan^{2}x[/tex]
[secant square x minus tangent square x is equal to 1]
By putting both values left hand side and right hand side we will find our solution which is :
1-tan^{2}x/1+tan^{2}x=1-[tex]tan^{2}x[/tex]/1+[tex]tan^{2}x[/tex].
Hence proved
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Graph the feasible region for the follow system of inequalities by drawing a polygon around the feasible region. Click to set the corner points. 2 x + 4 y ≤ 36 7 x + 5 y ≤ 63 x ≥ 0 y ≥ 0 { 2x+4y ≤ 36 7x+5y ≤ 63 x ≥ 0 y ≥ 0
Answers
Feasible region for the given inequalities is shaded via black color in graph.
What is Inequalities?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Here, given Inequalities are;
2 x + 4 y ≤ 36
7 x + 5 y ≤ 63
x ≥ 0 y ≥ 0
The graph of given inequalities are given below and the feasible region is shaded with the black color.
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4x + 2y=4 and 3x -y= -7
Answers
Answer:
y = 4
x = -1
Step-by-step explanation:
4x + 2y = 4 Eq. 1
3x - y = -7 Eq. 2
from the Eq. 2
3x = y - 7
3x + 7 = y Eq. 3
Replacing the value of the Eq. 3 in the Eq. 1
4x + 2(3x+7) = 4
4x + (2*3x + 2*7) = 4
4x + (6x + 14) = 4
10x + 14 = 4
10x = 4 - 14
10x = - 10
x = -10/10
x = -1
from the Eq. 3
3x + 7 = y
3*-1 + 7 = y
-3 + 7 = y
4 = y
Check:
from the Eq. 1
4x + 2y = 4
4*-1 + 2*4 = 4
-4 + 8 = 4
