1.) Identify the triangle congruence postulate or theorem (SSS, SAS, ASA, AAS, or HL) that proves the
triangles are congruent. If the triangles are not congruent, state not congruent.
HINT: label the corresponding congruent parts in just one of the triangles.
(6 total points: 1 point for each correct congruence postulate)
PLEASE NEED HELP ASAP!!
Answers
Two triangles are congruent if they meet they both meet the rules for congruency
The rules that makes the given triangles congruency are;
a) SSS
(b) SAS
(c) ASA
(d) Not congruent
(e) AAS
(f) HL
Reasons:
(a) Segment QS ≅ Segment QR; Same number of tic marks indicating congruency
Segment SP ≅ Segment PR; Same number of tic marks indicating congruency
Segment QP ≅ Segment QP; Reflexive property
Therefore;
ΔPQS ≅ ΔPQR by Side-Side-Side, SSS, rule of congruency(b) Segments AC, BC, on ΔABC ≅ Segments CD, CE, on ΔCDE Given
m∠DCE ≅ m∠ACB; Vertically opposite angles postulate
Therefore;
ΔABC ≅ ΔDEC by Side-Angle-Side SAS, rule of congruency(c) Segment ST ≅ Segment TU; Given
m∠RST = m∠VUT = 90°; Given
∠VTU = ∠RTS; By vertical angle theorem
Therefore;
ΔRTS ≅ ΔUTV by Angle-Side-Angle, ASA, rule of congruency(d) Not congruent because given parameter Side Side Angle not a condition for congruency
Not congruent
(e) ∠GHJ ≅ ∠GFJ; Given
∠HJG ≅ ∠JGF; Given
Segment GJ ≅ Segment GJ; By reflexive property
Therefore;
ΔGFJ ≅ ΔGJH; By Angle-Angle-Side, AAS similarity rule(f) Hypotenuse AB ≅ Hypotenuse DE; Given
Leg AC ≅ Leg DF; Given
Therefore;
ΔABC ≅ ΔDFE; by Hypotenuse Leg, HL, rule of congruencyLearn more here:
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Related Questions
No links
40 points
if you give me a reasonable answer quick enough, you get brainliest
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Answer: $675 hope this helps I tried
Evaluating expressions please help
Answers
Answer:
-15
Step-by-step explanation:
-1-7*(2)=-1-14=-15
The question is in the pic! Please help :)
Answers
The answer is D.
If you go to point E and count back 4 units, you will land on point B.
Hope this helps! :)
Write the equation of a parabola in vertex form.  vertex (2,3) point (3,-2). F(x)= ?
Answers
-19=-14v+14v
Solve for V
:) gets brainliest
Answers
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Let's solve for v :
[tex] - 19 = - 14v + 14v[/tex]here, the the terms associated with v, that us -14v and 14v gets cancel out, so there's no solution for v and hence it's value can't be determined.
120 degrees and 5x+1
solve for x
Answers
Answer:
x=9
Step-by-step explanation:
180 =120+5x+15
60=5x+15
45=5x
9=x
A truck can be rented from Company A for $140 a day plus $0.30 per mile. Company B charges $80 a day plus $0.40 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answers
Answer:
800 miles
Step-by-step explanation:
140 + (0.30 x 800) = 400$, 800 miles
80 + (0.40 x 800) = 400$, 800 miles
(sorry for incorrect answer the first time, mixed up the cost and number of miles)
What are the coordinates of the office? Enter the coordinates like this: (x,y) without any spaces. *
Answers
Answer:
Step-by-step explanation:
(6,9) it think its that
17. Determine if the following segments can or cannot be a triangle.
3 m., 4 m., and 1 m.
⬜ Yes ⬜ No
12 ft., 3 ft., and 11 ft.
⬜ Yes ⬜ No
24 in., 13 in., and 5 in.
⬜ Yes ⬜ No
9.81 m., 16 m., and 6.19 m.
⬜ Yes ⬜ No
5 yds., 13 yds., and 10 yds.
⬜ Yes ⬜ No
2.5 cm., 2.5 cm., and 2.5 cm.
⬜ Yes ⬜ No
6 mm., 4 mm., and 9 mm.
⬜ Yes ⬜ No
7 ft., 7 ft., and 7 ft.
⬜ Yes ⬜ No
Answers
Answer:
Step-by-step explanation:
1. 5 cm, 7 cm, 10 cm
SOLUTION:
The sum of the lengths of any two sides of a triangle
must be greater than the length of the third side.
5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
Thus, you can form a triangle with side lengths 5 cm,
7 cm, and 10 cm.
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
The correct option is B.
ANSWER:
B
PROOF Write a two-column proof.
5. Given:
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Substitution Property.)
ANSWER:
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Subst.)
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
6. 4 ft, 9 ft, 15 ft
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
No;
9. 2.1 in., 4.2 in., 7.9 in.
ANSWER:
No;
10.
No;
11.
ANSWER:
Yes;
Find the range for the measure of the third side
of a triangle given the measures of two sides.
12. 4 ft, 8 ft
ANSWER:
4 ft < n < 12 ft
13. 5 m, 11 m
ANSWER:
6 m < n < 16 m
14. 2.7 cm, 4.2 cm
ANSWER:
1.5 cm < n < 6.9 cm
15. 3.8 in., 9.2 in.
13.
ANSWER:
5.4 in. < n < 13 in.
16.
ANSWER:
17.
ANSWER:
Proof:
Statements (Reasons)
1. (Given)
2. (Conv. Isos. Thm.)
3. BC = BD (Def. of segments)
4. AB + AD > BD ( Inequal. Thm.)
5. AB + AD > BC (Subst.)
19. Given:
Prove: KJ +KL> LM
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequality Thm.)
4. KJ + KL > LM (Substitution Property)
ANSWER:
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequal. Thm.)
4. KJ + KL > LM (Subst.)
SENSE-MAKING Determine the possible
values of x.
20.
Notice that is always true for any whole
number measure for x.The range of values that
would be true for the other two inequalities is
and , which can be written as
.
ANSWER:
6 < x < 17
21.
ANSWER:
22. TRAVEL Keyan wants to take the most efficient
route from his hotel to the hockey game at The
Sportsplex. He can either take Highway 521 or
take Highway 3 and Route 11 from his hotel to the
arena.
a. Which of these two possible routes is the shorter?
Explain your reasoning.
b. Suppose Keyan always drives the speed l
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
1. 5 cm, 7 cm, 10 cm
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
ANSWER:
B
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Subst.)
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
6. 4 ft, 9 ft, 15 ft
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
SOLUTION:
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
SOLUTION:
T
No;
9. 2.1 in., 4.2 in., 7.9 in.
No;
10.
ANSWER:
No;
11.
.
ANSWER:
Yes;
Find the range for the measure of the third side
of a triangle given the measures of two sides.
12. 4 ft, 8 ft
4 ft < n < 12 ft
13. 5 m, 11 m
6 m < n < 16 m
14. 2.7 cm, 4.2 cm
ANSWER:
1.5 cm < n < 6.9 cm
15. 3.8 in., 9.2 in.
13.
ANSWER:
5.4 in. < n < 13 in.
16.
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequal. Thm.)
4. KJ + KL > LM (Subst.)
SENSE-MAKING Determine the possible
values of x.
20.
SOLUTION:
Set up and solve each of the three triangle
inequalities.
ANSWER:
6 < x < 17
21.
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
The correct option is B.
ANSWER:
B
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
SOLUTION:
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
ANSWER:
No;
9. 2.1 in., 4.2 in., 7.9 in.
what number must be subtracted from both the numerator and denominator of 5/9 to obtain a fraction equal to 3/8
Answers
Answer:
67 / 72
Step-by-step explanation:
3/8 + 5/9 = 27/72 + 40/72 = 67/72
Calculate the vertices of the figure given by A (1, 3), B (4, 7), and C(6, 6) after being
translated using the rule (x, y) > (x + 2, y + 3).
The new points are:
A’
B’
C’
Answers
Answer:
see explanation
Step-by-step explanation:
The rule (x, y ) → (x + 2, y + 3 )
Means add 2 to the original x- coordinate and add 3 to the original y- coordinate, that is
A (1, 3 ) → A' (1 + 2, 3 + 3 ) → A' (3, 6 )
B (4, 7 ) → B' (4 + 2, 7 + 3 ) → B' (6, 10 )
C (6, 6 ) → C' (6 + 2, 6 + 3 ) → C' (8, 9 )
I HOPE IT WILL HELP YOU.
Thank you.
TEDDYLOVER....
16.-:- En una granja hay 52 animales, entre vacas y chanchos. Si se sabe que la
frecuencia relativa de vacas es 14, ¿Cuántos chanchos tiene la granja? *
10
13
38
39
Answers
Answer:
what it mean???? I'm just asking
PLEASE ANSWER I WILL GIVE THANKS AND BRAINLIEST!! <33
Answers
Answer:
13) 10
17) 15
21) 10
25) 1
Step-by-step explanation:
13)
5x becomes 5(2) which is 5 times 2 = 10
17)
(4x) + 7 becomes (4 times 2) + 7 = 15
21)
(2x) + (2y) becomes (2 times 2) + (2 times 3)
= 4 + 6
= 10
25)
1/2(z - x) becomes 1/2(4 - 2)
= 1/2(2)
= 1
Lowest term of 4 11/12
Answers
Answer:
its already at its lowest. you can write it as a decimal 0.916667, but this fraction is already at its lowest.
HELP ASAP 23 POINTS!!!!!!!!!!!!!!!!!!!
Answers
During a hot summer week, Mr. Singh sold 60 watermelons. On Monday, he sold
he sold half the number of watermelons he sold on Monday. On Thursday, Mr. Singh sold 18
watermelons. On Tuesday, he sold twice as many watermelons than Monday. On Wednesday,
watermelons. On Friday, he sold four more than twice the amount he sold on Monday and
Tuesday combined. How many watermelons did he sell on Friday?
Help please
Answers
I really need help it's due today at 2:00
1.Find the value of f(–9) and g(1) if f(x) = 8x + 6 and g(x) = 9x + 20x−2
A.f(–9) = 14
g(1) = 30
B.f(–9) = –78
g(1) = –11
C.f(–9) = –66
g(1) = 29
D.f(–9) = 8
g(1) = –80.75
2.Find the value of f(–9) and g(–1) if f(x) = –3x – 2 and g(x) = 3x3 – 24x .
A. f(–9) = 25
g(–1) = 21
B.f(–9) = –5
g(–1) = 20
C.f(–9) = 29
g(–1) = 26
D.f(–9) = 3
g(–1) = –27
Answers
Answer:
1. f(–9) = -66 , g( 1 ) = 27 (Please double-check your given options, there must have been a typographical error for Option C for g( 1 ) = 29). g( 1 ) is supposed to be 27.
2. Option A: f(–9) = 25, g(–1) = 21
Step-by-step explanation:
1.Find the value of f(–9) and g(1) if f(x) = 8x + 6 and g(x) = 9x + 20x−2
f(x) = 8x + 6
f(–9) = 8(-9) + 6 = -66
g(x) = 9x + 20x − 2
g( 1 ) = 9( 1 ) + 20( 1 ) − 2 = 27
None of the given choices were correct (unless there's a typo error for Option C — it's supposed to be g( 1 ) = 27 instead of 29?) because the correct answers are: f(–9) = -66 and g( 1 ) = 27
2. f(–9) and g(–1) if f(x) = –3x – 2 and g(x) = 3x³ – 24x
f(x) = –3x – 2
f(–9) = –3(–9) – 2 = 25
g(x) = 3x³ – 24x
g(–1) = 3(–1)³ – 24(–1) = 21
Therefore, the correct answer is Option A: f(–9) = 25, g(–1) = 21
Module One Project Option 1 It is time to get the fish food ready for the marine life rescue missions. Over the last month, Penny's class has collected fish food in a variety of boxes. In order to ship the food, you are going to help Penny and her classmates. They are going to pack the small cubes of fish food into shipping boxes that are large right rectangular prisms. Shipping Box Fish Food 1 ft ft ft 0 ft 3 ft 3 / 4 Instructions:
Answers
Answer:
well we know the fish food 1/4 x1/4 x 1/4 = 1/64 because 4x4x4 equals 64 and denominator stays the same and the shipping boxes is simplify 3 3/4x = 15/4 and 3 becomes 3/1 and 3 1/4 becomes 13/4 and multiply 585/16
Step-by-step explanation:
whats 3+6÷2
PLEASE EXPLAIN
Answers
Answer:
6
Step-by-step explanation:
6 devide 2 is 3. 3 plus 3 is 6
Answer:6
Step-by-step explanation: It is solved by BODMAS
BODMAS is a code which means
B= brackets
O=of(*)
D=division
M=multiplication
A=addition
S=subtraction
So first of all 6 divide by 2 then add 3 you will get answer 6
Can someone help me with part B?? I already did part A
Thank you so much :)
Answers
Answer:
-150
Step-by-step explanation:
this is because you do 250 - 100 which equals -150
In part A you subtracted 100 from 100 giving you 0.
Continuing to part B you would subtract 100 from 250 leaving you with 150.
Help this is due tmr!!
Answers
Answer:
A is correct
Step-by-step explanation:
ind all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
Answers
Answer:
All even natural numbersStep-by-step explanation:
This is an AP with:
The first term = 1Number of terms = nCommon difference = 2Find the sum of the first n terms:
[tex]S_n= n(1+2n-1)/2=n^2[/tex]The sum is divisible by 4 if n is even number:
n = 2k ⇒ n² = 4k² ≡ 0 mod 4Please show work! Have test tomorrow and stuck, btw thank you! :)
Answers
Answer:
73
Step-by-step explanation:
8² + ( 7 - 4 )² = 64 + 3² = 64 + 9 = 73
Answer:
73
Step by-step explanation:
I dont know how to explain it I just put it into a calculator
Trey is taking his friends out to dinner to celebrate graduation. It will cost him $72 to reserve a table, and another $5 per guest. How many people can he invite if he can only spend up to $130?
Answers
Answer:
11 people
Step-by-step explanation:
first, youd subtract the table reservation price from the max price.
130 - 72 = 58
then, since each person costs $5, you find the highest multiple of 5.
in this case, its 55, which has 11 groups of 5 in it.
to make sure:
you can then subtract 55 from 58 to make sure there isnt any extra 5's.
58 - 55 = 3.
A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check all that apply.
(12, 3)
(–2, –5)
(–3, 1)
(1, 15)
(5, –2)
Answers
We have to find slopes one by one.
#1
(0,1)
(12,3)
Line passes through this.
#2
(-2,-5)
Line passes through this
#3
(-3,1)
Not possible (Line passes through y axis as one co-ordinate is (0,1))
#4
( 1,15)
Line passes through this
#5
(5,-2)
Therefore, The Line does not pass through this.
You have a $25 gift card for a donut shop. Each donut costs $1.25. Write an equation in
slope-intercept and standard form that gives the amount (in dollars) that remains on the card as a
function of the total numbers of donuts you have purchased so far.
Answers
The equation of the given situation is required.
Slope intercept form [tex]y=-1.25x+25[/tex]
Standard form [tex]1.25x-y=25[/tex]
The total amount of money is $25.
Cost of one donut is $1.25
Let y be the amount of money left
x be the number of donuts bought.
So, the amount of money left after buying x donuts is
[tex]y=25-1.25x\\\Rightarrow y=-1.25x+25[/tex]
The standard form is [tex]1.25x-y=25[/tex]
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what is an equation of the line in the slope- intersepct is (0,3)
Answers
Answer:
using the formula x/a + y/b =1
a: slope intercept on the x axis
b:slope intersect on the y axis
x/0 + y/3 = 1 (since x/0 is undefined ,the slope doesn't exist and it is impossible for a slope to be linear)
Write an equation of a line that passes through the point T ( − 2, − 5 ) and is parallel to the line y = 5 x + 7 .
Answers
Answer:
y = 5x + 5
Step-by-step explanation:
the slope to be parallel y = 5x + 7 must still be 5. To make the line pass through T, the given point, you plug (-2, -5) into the y= mx + b formula. This becomes( -5 )= 5 (-2) + B, and you solve for b. In this equation, b = 5.
Explain why x2+7x+4=7x has no solutions.
Answers
[tex]x^2+7x+4=7x[/tex]
[tex]x^2+4=0[/tex]
[tex]x^2=-4[/tex]
Square of any real number cannot be negative because - * - = + so this equation has no solutions
Which equation best represents the line graphed above?
Answers
Answer: x=2 because for any y value the x value is always 2.