Question 5 of 10
Is ACOW- APIG? If so, identify the similarity postulate or theorem that
applies.
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answers
ΔWCO and ΔPIG are congruent by SSS.
Option B is the correct answer.
What is triangle congruency?There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
From ΔWCO and ΔPIG
The ratio between the corresponding sides is same.
i.e
WC/GP = WO/GI = 7/21 = 5/15 = 1/3
Now,
Since the ratio of the two corresponding sides in the two triangles are same,
The ratio of the remaining corresponding sides will also be the same.
Now,
C0 = IP = 1/3
So,
ΔWCO and ΔPIG are congruent by SSS.
Thus,
ΔWCO and ΔPIG are congruent by SSS.
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Related Questions
describe transformation y=(x+5)^2 -19
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Answer:
y=x^2 +10x+6 should be the answer
Step-by-step explanation:
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Step-by-step explanation:
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Answer:
I belive It would be Quadant IV (d) if I did everything right sorry if I am not correct.
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The fee for a service call from a plumber can be modeled with the function C(h)= 75 + 20h, where C is the total cost of the service call and h is the number of hours the plumber spends working on the problem. (MAFS.912.F-IF.1.2) A. How much does the plumber charge per hour? 3. What is the value of C(3)? 1. What does this represent in terms of the problem?
Answers
Answer:
20 ; $135 ; service charge for 3 hours spent is $135
Step-by-step explanation:
Given that :
Service fee equation model :
C(h)= 75 + 20h
C = total cost of the service call
h = number of hours the plumber spends working on the problem
The charge per hour is the gradient or slope of the linear equation. From the equation, the slope is of the equation is related to bx from. The general form of a linear equation where b = gradient or slope(charge per hour) and x = number of hours
bx = 20h
b = 20
Charge per hour = 20
C(3) = 75 + 20(3)
75 + 60 = 135
This means that total service call charge for a plumber who spends three hours fixing a problem is $135
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (-9,3), (-5,7)
Line 2: (-11, 6), (-7, 2)
The slope of line 1 is
The slope of line 2 is
The two lines are
Answers
Answer:
The slope of line 1 is: (7-3) / (-5 - -9) = 4/4 = 1
The slope of line 2 is: (2-6) / (-7 - -11) = -4/4 = -1
Yes, they are perpendicular
Step-by-step explanation:
The slope of line 1 is: (7-3) / (-5 - -9) = 4/4 = 1
The slope of line 2 is: (2-6) / (-7 - -11) = -4/4 = -1
slope 2 = - 1/1 = - 1/slope 1
Tanisha used this table to compare the number of school yearbooks purchased
Answers
Answer:
I can't see the question
Step-by-step explanation:
Solve 100 ÷ 5 × 4 + 43.
Answers
Answer:
123
Step-by-step explanation:
100 ÷ 5 × 4 + 43 = 123
Answer:
123
Step-by-step explanation:
Lets use the PEMDAS method.
100 ÷ 5 × 4 + 43
(20) × 4 + 43
(80) + 43
123
Hence, the answer is 123.
Rob runs at a constant pace on his treadmill.
In 3 hours, he runs 15 miles.
What is the unit rate for Rob's pace?
Answers
Answer:
B: 1 to 5
Step-by-step explanation:
3 hours is to 15 miles as 1 hour is to 5 miles (division by 3)
45.15 divied by 21 equal but the estimate
Answers
Answer:
The answer is 2.00.
Step-by-step explanation:
45.15 ÷ 21 = 2.15
2.15 rounded off to the nearest whole number is 2.00.
This was because you asked for an estimate.^
Lily drives 90 miles in 2 hours. If she drives at the same rate, how far does lily travel in each of the following time intervals: 1 hour, 1/2 hour, and 3 hours? Please solve in at least two different ways. You could make a bar model, double number line, ratio table, or graph
How far does she drive in 3 hours
Answers
Answer:
1 hour= 45 miles
1/2 hour=22.5 miles
3 hours= 135
Step-by-step explanation:
just work out one hour by halving 90 miles which is 45. Then work out the rest by halving again and multiplying by 3.
Answer:
1st way:
90/2=45
1 hour = 45 miles
45/2=22.5
0.5 hour = 22.5 miles
45+22.5=67.5
1.5 hour = 67.5 miles
67.5x2=135
3 hours = 135 miles
2nd way:
90 miles - 2 hours
1 hour - 60 minutes
60x2=120
90/120=0.75
1 minute - 0.75 miles
0.75x60=45
1 hour = 45 miles
60:2=30
60+30=90
0.75x90=67.5
1.5 hour = 67.5 miles
60x3=180
0.75x180=135
3 hours = 135 miles
45 and a third divided by one sixth and then write a sentence to show work and create multiplication of number
Answers
Answer:
272
Step-by-step explanation:
45 and a third = 45 1/3
one sixth = 1/6
hence:
45 and a third divided by one sixth =
= 45 1/3 ÷ 1/6
= 136/3 ÷ 1/6
We convert to multiplication by converting 1/6 to its reciprocal which is 6/1
Hence:
= 136/3 ×6/1
= 272
If a figure is dilated by a factor of 5/6, the area of the figure will change by a factor of ?
Answers
Answer:
5/6
Step-by-step explanation:
can some one help please??
Answers
Solution to -7 - 2y = 1
Answers
Answer:
not sure sorry
Step-by-step explanation:
Explaination:
Add 7 to the one to get -2y=8
Then divide the -2 by both sides to get y= -4
y = 2x-5
5x - 2y = 19
Please fast
Answers
Answer:
[tex]y = 2x - 5 - - - eqn \: (i) \\ 5x - 2y = 19 - - - eqn \: (ii) \\ substitute \: for \: y \: in \: eqn \: (ii) \: from \: eqn \: (i) \\ 5x - 2(2x - 5) = 19 \\ 5x - 4x + 10 = 19 \\ x + 10 = 19 \\ x = 19 - 10 \\ x = 9 \\ from \: eqn \: (i) \\ y = 2x - 5 \\ y = (2 \times 9) - 5 \\ y = 18 - 5 \\ y = 13[/tex]
Help me please!!!!!!!!!!!!!!!!
Answers
Answer:
C is the answer if you count 8 down, if not. sorry
Answer:
c. -3, -4 if you go 8 numbers down from point P then that's what you should get.
d+4/3D = 336 what is the number of d
Answers
Answer:
12
Step-by-step explanation:
(20 POINTS!!!)
What is the measure of
A. 60°
B. 80°
C. 110°
D. 120°
Answers
Answer:
A. 60 degrees
Step-by-step explanation:
The sum of the abgles in a triangle is 180°. We are already given 96° and 24°.
so we will subtract the given values from 180 to find the third angle
180-(96+24)=180-120=60°
The answer is A. 60°
can u answer these for me thank u. first 2 only
Answers
Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options
Answers
Answer:
The sides can be 38 and 24.
Step-by-step explanation:
Consider the provided information.
The given options are: a) 15, b) 24, c)38, d)41, E)53
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
Here a=12 and b=28 we need to find c
The sum of 12 and 28 is 40.
So, It means the side can not be 41 and 53 as it is greater than 40.
Now let the third side is 15.
Then the sides are 12, 28 and 15
The sum of two smaller sides: 12+15=27
But 27 is less than 28.
So the side can't be 15.
Now let the third side is 24.
Then the sides are 12, 28 and 24
The sum of two smaller sides: 12+24=36
But 36 is greater than 28.
So the side can be 24.
Now let the third side is 38.
Then the sides are 12, 28 and 38
The sum of two smaller sides: 12+28=40
But 40 is greater than 38.
So the side can be 38.
Hence, the sides can be 38 and 24.
In a middle school with 200 students there are 40 % girls. 20% of the students wear glasses . It is also known that 10% of the boys wear glasses .
1-How many boys are in this school?
2-How many girls don’t wear glasses?
3-How many students are boys and wear glasses?
Answers
Answer
1;120
2;60
3;20
Step-by-step explanation:
The Solomon family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?
Answers
12gal/3days = 4gal/1day
Help with number one please and thank youuu
Answers
Answer:
6x-12=8x-16
6x-8x=12-16
-2x=-4
x=2
So it's TRUE
The radar radius on the map
is 1000 ft. What is the
circumference of the radar?
Answers
The first term is 8 Each term is 4 more than double the previous term.
Answers
Answer:
8*2^(n-1)
Step-by-step explanation:
This is a geometric sequence since we multiply from the previous term.
a_n = a_1 * common ratio^(n-1) where a_n is the nth number and a_1 is the first.
The first term is 8, so we have
a_n = 8*<common ratio>^(n-1) = 8*2^(n-1)
Answer:
its b and the question after that is d
Step-by-step explanation:
just did it
Find the parallel and perpendicular equations that match
Answers
Answer:
Parallel 6 10 13 17 and perpendicular 2 8 14 16 18 I think
Step-by-step explanation:
Write an inequality to represent "7 less than one sixth of a number is at most 45."
Answers
Answer:
third option
Step-by-step explanation:
one-sixth of a number = 1/6 ·n
one-sixth of a number, decreased by 7 = (1/6 ·n) - 7
'at most 45' means values equal to 45 or less: ≤
Greg buys apples, bananas, and kiwis from a fruit stand each week. The first week he pays $3.19 for 2 apples, 3 bananas, and 2 kiwis. The second week he pays $4.12 for 3 apples, 4 bananas, and 2 kiwis. The third week he pays $3.01 for 1 apple, 1 banana, and 4 kiwis. Choose the system of equations that can be used to solve for the number of apples,a, the number of bananas,b, and the number of kiwis,k.
Answers
Answer:
Step-by-step explanation:
2a+3b+2k= $3.19
3a+4b+2k=$4.12
1a+1b+4k=$3.01
The system of equation that can be used to solve these scenario are 2a + 3b + 2k = 3.19, 0a + 4b + 2k = 4.12 and 1a + 1b + 4k = 3.01.
What is a linear equation?A linear equation consist of variables and constant sperated by arithmetic operations which has highest degree of 1.
We know that a system of equations is formed when we have two or more than two linear equations in two or more than two variables and a system of equations is consistent when the number of variables is equal to or less than the number of equations.
Given in this questin is 3 variables Applles(a). Bananas(b) and Kiwis(k) and we can form three equations in three variables they are,
2a + 3b + 2k = 3.19...(i)
0a + 4b + 2k = 4.12...(ii)
1a + 1b + 4k = 3.01...(iii)
We can solve this system of equation by first multiplying eqn(iii) by 2 and then subtracting it from eqn(i) to eliminate variable 'a' and then equating with eqn(ii) to eliminate variable 'b' or 'k'
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A clothing store is raising the price of all its sweaters by $3.00. What is an expression that could be used to find the new price of a sweater that originally cost d dollars? *
Answers
Answer:
x+3
Step-by-step explanation:
Answer:
Step-by-step explanation:
The expression would be d + 3.
You're raising $3 in every sweaters cost so d is the cost of the sweater and you add 3 to raise $3 in the price.
Find the measure of the arc. Please help!
Answers
Answer:
The value of mEFD = 214°
Step-by-step explanation:
Given that the measure of the degree of one of the central angles of an inner circle is 146°.
We know that sum of all central angles is 360°.
In other words, in our case
mEFD + 146° = 360°
Thus, we can determine the mEFD using the equation
mEFD + 146° = 360°
so subtracting 146° to both sides
mEFD + 146° - 146° = 360° - 146°
mEFD = 214°
Therefore, the value of mEFD = 214°