The definition of SSS, SAS, and AAS congruency conditions is shown.
SSS condition:
In accordance with the SSS rule, two triangles are considered to be congruent if their corresponding three sides are equal on both triangles.
SAS condition:
The two triangles are congruent if two sides and the included angle of one triangle match those of a second triangle by two sides and the included angle.
AAS condition:
The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.
Therefore, the definition of SSS, SAS, and AAS congruency conditions is shown.
Know more about SSS conditions here:
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Find the area of the composite figure. Round your final answer to the tenth.
Answer:
181.5 in^2 to the nearest tenth.
Step-by-step explanation:
This consists of a rectangle and a triangle.
Area of the rectangle = 10 * 17 = 170 in^2
Area of the triangle:
The base = 17-13 = 4 in.
The height ( that is the vertical line below the rectangle) can be found using Pythagoras:
H = √(7^2 - 4^2) = √33
Area of the triangle = 1/2 * 4 * √33 = 11.489 in^2
Area of the whole figure = 170 + 11.489 = 181.489 in^2,
what is the domain of f?
HELP PLEASE
Answer:
-7 to 7
Step-by-step explanation:
it is the range of the x values
Solve for x. You must show all of your work to receive credit.
V
5x + 17
23x - 5
W
37x + 5
can someone help me this is a life or death question
Answer:
3 is vertical angles
1 is same side interior
2 is corresponding angles
4 is straight angles
Step-by-step explanation:
Find x. Please help with this problem!!!!!
If the force is 2500N and the acceleration is 500m/s/s, calculate the mass
Answer:
5kg
Step-by-step explanation:
Here the given force is 2500N and
acceleration is 500m/s²
Now,
F = ma
m = F/a = 2500/500 = 5kg
Thus, The mass is 5kg
-TheUnknownScientist
I WILL GIVE BRAINLIEST AND SEND 50 POINTS IF GOOD no copying from internet
What do you know about the angles of a right triangle?
A all angles might be right angles.
B only one angle is a right angle and the other two are acute
C one or more angles must be right angles
D only one angle is a right angle and the other two are obtuse
Answer:
B
Step-by-step explanation:
Answer:
B only one angle is a right angle and the other two are acute
Step-by-step explanation:
its clear from looking at an angle lol
What is 127% of 40????
Answer:
50.8
Step-by-step explanation:
Dada la recta r espacio dos puntos espacio fracción numerador x menos 1 entre denominador 1 fin fracción igual fracción numerador y menos 5 entre denominador menos 3 fin fracción, halla una recta s, paralela a r, y una recta t, perpendicular a r, ambas que pasen por el punto A (-3,1).
Answer:
creo que si
Step-by-step explanation:
primero hacemos lo primero
y luego lo segundo
Alex and Dave sell donuts. Alex earns $11 more than Dave. Let x represent the number of donuts Dave sells. Let y represent the total amount of donuts Alex sells. Which equation shows this relationship
Answer:
y = x + 11
Step-by-step explanation:
x = Number of donuts Dave sells
y = Total amount of donuts Alex sells
Amount earned by Alex = $11 more than Dave's earning
This means y is greater than x by $11
Total amount of donuts Alex sells = Number of donuts Dave sells + $11
y = x + 11
The wood family consumes 20 bags of milk in 4 weeks.How much milk will the family require for 8 weeks?
Answer:
4
Step-by-step explanation:
If 20 jugs is in 4 weeks, and 8 weeks is 2 times as much as 4. So you would multiply 20x2 because 8 weeks is 2 times as much as 4
A health club charges a $75 membership fee. Weasley has $300 to spend on a health club membership. Write an inequality to model the number of months that Weasley can afford to be a member of the health club. What is the maximum number of months that he can use the health club?
Answer:
4 months
Step-by-step explanation:
we take $300 ÷$75 which is per month
then we get 4 , which is our months
A cable 13 meters long runs from the top of a utility pole to a point on the ground 5 meters from the base of the pole. How tall is the utility pole?
Answer:
height of the utility pole = 12 meters
Step-by-step explanation:
It is simple application of Pythagoras theorem.
In the given case, Length of cable (Hypotenuse) H = 13 meters, distance between base of pole to the point on the ground(Base) B = 5 meters and height of pole ( Perpendicular) P form a right angle triangle.
The applying Pythagoras theorem.
H^2 = P^2 +B^2
⇒ P^2 = H^2-B^2 = 13^2-5^2 = 144
⇒ P = 12 meters
hence, height of the utility pole = 12 meters
There are 150 politicians at a meeting.
They each shake hands with everyone
else. How many handshakes were there?
PLEASE HELP ASAP
Answer:
11175Step-by-step explanation:
Person 1 will shake hands with 149 othersPerson 2 ... 148 (excluding the first person)Person 2 ... 147 (excluding the first two persons)...Person 149 ... 1 (with person 150)Person 150 ... none (already had 149 handshakes)Total handshakes:
1 + 2 + ... 149 = 149(1 + 149)/2 = 11175which is proportion can be used to be determine to length of bc
Answer:
4/5=bc/8
Step-by-step explanation:
Solve by factoring.
m^2+6m+5=0
Answer:
-1 and -5
Step-by-step explanation:
m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.
The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.
(m + 1) = 0
(-1 + 1) = 0
This means that one of the values for m is -1.
(m + 5) = 0
(-5 + 5) = 0
This means that one of the values for m is -5.
Moreover, the value of m by factoring is -1 and -5
Answer:
[tex]\sf m=-1,-5[/tex]Step-by-step explanation:
[tex]\sf m^2+6m+5=0[/tex]
Factor, m^2+6m+5
Find, the two numbers that add up to 6 and multiply to 5: 1 and 5
Now, Rewrite the expression:
[tex]\sf (m+1)(m+5)[/tex]
[tex]\sf (m+1)(m+5)=0[/tex]
Now, we will solve the non-linear equation, we can apply the zero product theorem. Each variable factor in the original equation needs to be set to zero.
[tex]\sf m+1=0[/tex]
[tex]\sf m+5=0[/tex]
Now, solve each of the 2 equations:
[tex]\sf m+1=0[/tex]
Subtract 11 from both sides:
[tex]\sf m=-1[/tex][tex]\sf m+5=0[/tex]
Subtract 5 from both sides:
[tex]\sf m=-5[/tex][tex]\sf m=-1,-5[/tex]
________________________________________
Noah spent $66 for 20 gallons of gasoline. Lydia spent $81.25 for 25 gallons of gasoline. How much did each person spend for 1 gallon of gasoline?
Answer:
Noah spent $3.3 for 1 gallon of gasoline.
Lydia spent $3.25 for 1 gallon of gasoline.
Step-by-step explanation:
To find how much each person spent for 1 gallon of gasoline, we divide the amount spent by the number of gallons.
Noah spent $66 for 20 gallons of gasoline.
Amount spent $66, 20 gallons. So
66/20 = $3.3
Noah spent $3.3 for 1 gallon of gasoline.
Lydia spent $81.25 for 25 gallons of gasoline.
Amount spent $81.25, 25 gallons. So
81.25/25 = $3.25
Lydia spent $3.25 for 1 gallon of gasoline.
An electrical engineer has an annual income of $143,482 and will pay a 6% income tax rate. What is the amount of income tax in dollars and cents that the engineer will have to pay?
Answer:
$8608.92
Step-by-step explanation:
Given data
Annual income= $143,482
Rate= 6%
We want to find 6% of $143,482
=6/100*143482
=0.06*143482
=$8608.92
Hence the income tax is
$8608.92
3 Yolanda asks a random sample of 50 students at her school what they do after
school. Of the 50 students, 30 say they play a sport. Based on the sample, about
what percent of students at Yolanda's school play a sport after school?
A 15%
B 30%
C 50%
D 60%
Find two consecutive odd numbers whose sum is 44.
Answer:
21 & 23
Hope that helps!
Step-by-step explanation:
What is the length of point AC
the length of point AC is 13.67cm
The graph of f(x) = x2 is shown
Use the parabola tool to graph g(x)
g(x) = (x + 1)2 – 2
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola
Answer:
(1,2) is your vertex and (2,3) is your second point
Step-by-step explanation:
Answer:
(0,-1) and (-1,-2)
Step-by-step explanation:
i got it right on the quiz
Probability of rolling a factor of 4 on the first die
Answer:
should be like 1 out of 6 chances
Step-by-step explanation:
How do I show my work for this and get the answer? Thanksss
Answer:
the answer for this problem is 135
L Practice & Problem Solving
QU
11.6.PS-15
You want to wrap a gift shaped like the regular triangular prism shown. How many
square inches of wrapping paper do you need to completely cover the prism?
Answer:
xjxjxjzjzjxxjxjxjxjx
Find the Area of this Composite Figure:
8 in
7 in
12 in
Answer:
132in²
Step-by-step explanation:
Maria is saving $470 for a new camera. She currently has $256. If she saves $70 per week, how long will it take her to save at least $500 to cover taxes and extras?
Answer:
Number of weeks= 3.63 weeks
Step-by-step explanation:
First, we need to determine the total amount to be saved:
Difference= 500 - 256
Difference= $254
Now, the number of weeks given the following formula:
Number of weeks= amount to be saved / savings per week
Number of weeks= 254 / 70
Number of weeks= 3.63 weeks
What is the correct answer to this
Answer:
Perimeter = 9700 cm
Step-by-step explanation:
Dimensions of sides are;
12, 2x, 12, 5, 5, circumference of semi circle
Now, the semi circle has a radius of 7. Thus, the diameter = 7 × 2 = 14
We see that x is the diameter. Thus, x = 14
Thus; base of trapezium that is 2x = 2 × 14 = 28
Also, circumference of semi circle = 2πr = 2π × 7 = 44
Thus;
Perimeter of shape = 12 + 2(14) + 12 + 5 + 5 + 44
Perimeter = 97 m
Converting to cm, we multiply by 100 to get;
Perimeter = 97 × 100 cm
Perimeter = 9700 cm
insaley easy 4th grade homework math question i will mark brainliest
Answer:
first answer 20
Second answer 1/2
For the last on I think it’s 1/4
Step-by-step explanation:
Lol Sorry if I’m wrong
Answer:
1. 5 1/4 or 5.25 or 21/4
2. 1/2
3. Im not sure but i think it's 1 1/2 becouse 1 1/2 divided by 2 = 3/4 or 0.75
Step-by-step explanation:
A cone has a volume of 18 in3. Select all of the possible dimensions for the cone.
Diameter 1 in., height 18 in.
Diameter 6 in., height 6 in.
Diameter 3 in., height 6 in.
Diameter 6 in., height 3 in.
Diameter 3 in., height 24 in.
Answer: with these values I don't find any of cones
Step-by-step explanation: volume is 1/3 x pi x r^2 x h
And radius r = diameter/2. Is you round pi/3 =1 it's easier.
Possible measures: d=2 and h=18
D= 4 and h= 4.5 or d= 6 and h=2