help please
Determine whether the triangles are congruent. If so, name the postulate or theorem that justifies your answer. If not, explain.
Are the triangles congruent or not congruent? If they are, identify by what postulate or theorem.
A.The triangles are congruent by the AAS Postulate.
B. The triangles are congruent by the SSS Postulate.
C. The triangle are not necessarily congruent. Not enough information is provided.
D. The triangles are congruent by the SAS Postulate.
Answers
The triangles are congruent by the SAS Postulate.
What are congruent triangles?A closed polygon made of three line portions shaping three points is known as a Triangle.
If the sides of two triangles are the same length and the angles are the same size, they are said to be congruent. As a result, it is possible to superimpose two triangles side by side and angle by angle.
Given triangles
ΔUTS and ΔRTS
which shows
UT and RS are parallel
and TS is common side
so ∠UTS = ∠RST
by UT ║ RS (side)
∠UTS = ∠RST (angle)
TS = TS (common side)
ΔUTS ≅ ΔRTS
by SAS postulate
Hence Triangles are congruent.
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Related Questions
Sophie buys eggs and apples at the store.
She pays a total of $22.11.
She pays a total of $4.29 for the eggs.
She buys 3 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine x, how much each bag of apples costs.
Answers
(22.11 - 4.29) /3 = X
22.11- 4.29 = 17.82
17.28/3 = 5.94
One bag of apples cost $5.94
Answer:
(22.11-4.29)÷3=x
(17.82)÷3=5.94
x=$5.94
WILL GIVE BRAINLIEST IF YOU GIVE AN ACCURATE DESCRIPTION!! ( look at photo)
Answers
Answer:
∠1 and ∠5 are pair of corresponding angles
∠1 and ∠8 are pair of alternate exterior angles
∠3 and ∠6 are pair of alternate interior angles.
Step-by-step explanation:
we need to identify the pair of corresponding angles, a pair of alternate exterior angles and a pair of alternate interior angles.
1) Pair of corresponding angles
Angles that are at the same corner at each intersection.
So, ∠1 and ∠5 are pair of corresponding angles
2) Pair of alternate exterior angles
A pair of angles that are on outer side of the two lines but on opposite sides of the transversal.
So, ∠1 and ∠8 are pair of alternate exterior angles
3) Pair of alternate interior angles
A pair of angles that are on inner side of the two lines but on opposite sides of the transversal.
So, ∠3 and ∠6 are pair of alternate interior angles.
√2/k+√2=1/k-√2 leaving your answer in the form p+m√n
Answers
Answer: in decimal form=0.14644660
Step-by-step explanation:
4a2 – 21a + 20
4a
5
a
4a2
5a
4
16a
20
80a2
(4a + 5)(a + 4)
Answers
Answer:
5 a
Step-by-step explanation:
help !!! please show work so i know how to do it :)))
Answers
Answer:
70
Step-by-step explanation:
the red lines mean the two sides are equal
so its an isosceles triangle meaning the two angles other than the 40° one are equal
the inner angles of a triangle must add up to 180
so 180-40 = 2x
140 = 2x
x = 140/2 = 70
Answer:
x=70
Step-by-step explanation:
let unknown angle be a
then,a=x(base angle of an isosceles triangle)
a+x+40=180
x+x=180-40(a=x)
2x=140
x=70
Help plss..................
Answers
The equation of a line that passes through points (0, 2) and (-2,0) is y=1x+2
What is the probability of rolling at least one six in three rolls of die
Answers
Answer:
91/216
Step-by-step explanation:
Answer:
.5% Chance
Step-by-step explanation:
write two different word phrases that mean the same thing, but stated differently.
6x + 5 = 17
Answers
Six times a number plus five is equal to seventeen.
Five added to the product of six and a number is seventeen.
what is 3 / 1 - 1/2
[tex] \frac{3}{1 - \frac{1}{2} } [/tex]
I need help i have an exam on the 8th of Januaryary 2021 i need this because i will get me into highschool..
Answers
Answer:
6
Step-by-step explanation:
3 / 1 - 1/2 = 3 / 1/2
when dividing by singular fractions (1/3 1/6 1/29 whatever) just multiply by the denominator so 3 ÷ 1/2 = 6
CHALLENGE Sara had some marbles. She got 20 more marbles for her
birthday, and she got 30 marbles at the store. Now Sara has 100 martha
marbles did she have to start?
Answers
Answer:
50
Step-by-step explanation:
a + 30 + 20=100
100-30=70
70-20=50
Answer: 50 marbles
Step-by-step explanation: 100-(30+20)=50
Help easy math problems!!!!
Answers
Answer:49.45
Step-by-step explanation:
PLEASE HURRY!
Each statement describes a transformation of the graph of y= x.
Which statement correctly describes the graph of
y= x - 8?
A. It is the graph of y= x translated 8 units to the left
B. It is the graph of y= x translated 8 units up.
C. It is the graph of y=x translated 8 units down.
D. It is the graph of y=xwhere the slope is decreased by 8.
Answers
Answer:
c
Step-by-step explanation:
its in slope intercept form, or y=mx+b where b is the y intercept, i.e. how far down the line hits the y axis. m would be the slope but we dont need to worry about that for now. since b is the y intercept, -8 would mean 8 units down
х
—3
—1
1
4
8
10
у
14
10
6
0
?
—12
Answers
Answer:
I believe it would be the last table.
Step-by-step explanation:
Given: ∠ABC is a right angle and ∠DEF is a right angle.
Prove: All right angles are congruent by showing that ∠ABC ≅∠DEF.
What are the missing reasons in the steps of the proof?
A flow chart with 4 boxes that are labeled Given, A, B, C from left to right. Box Given contains angle A B C, angle D E F are right angles. Box A contains m angle A B C = 90 degrees and m angle D E F = 90 degrees. Box B contains m angle A B C = m angle D E F. Box C contains angle A B C is-congruent-to angle D E F.
A:
B:
C:
Answers
Answer:
Step-by-step explanation:
A right angle is an angle whose measure is equal to [tex]90^{o}[/tex]. As the measure of two right angles equals angle on a straight line, while four right angles equal the sum of angles at a point.
Given: <ABC, <DEF are right angles.
The missing reasons in the steps of the proof are:
A: m<ABC = [tex]90^{o}[/tex] and m<DEF = [tex]90^{o}[/tex] (Meaning of a right angle)
B: m<ABC = m<DEF (By right angle property)
C: <ABC ≅ <DEF (Congruence property of angles)
Answer:
A: definition of right angle
B: substitution property
C: definition of congruent angles
Step-by-step explanation:
If the sum of base angle of isosceles triangle
is 88° calculate the other angle
Answers
Answer:
92
Step-by-step explanation:
The sum of the three angles of a triangle is 180
We know the sum of the base angles is 88
180 = 88+x
180 -88 =x
92=x
The other angle is 92
Answer:
92°is other angle of isosceles triangle
Jason and Mary will usually both run 4 miles each time they go running. This month, Jason ran an additional 15 miles. Which answer choice shows an expression that represents the total distance Jason and Mary ran this month if J = the number of times that Jason ran and m = the number of times that Mary ran? Answer Choices: 4j+4m+15, 8j + 8m + 15, 19j + 19m, 4j +19. Please answer if you know
Answers
Answer:
4j+4m+15
Step-by-step explanation:
jason+mary= 4 miles which= 4j+4m
jason ran additional 15 miles= +15
There are 7 boxes stacked on the floor in the math department supply closet. Each box has a height of 10 inches or 8 inches. The height of the stack of 7 boxes is 5 feet. How many boxes in the stack are 8 inches in height?
Answers
Answer:
5 of the 7 boxes are 8 inches in height
Step-by-step explanation:
Mathematically;
1 ft = 12 inches
So, 5 ft will measure 5 * 12 = 60 inches
So from what we have ,
We want to combine 8 and 10 inches to give 60 inches total
Let the number of 10 inches be x and the number of 8 inches be y
Mathematically;
x + y = 7 •••••(i)
10x + 8y = 60 ••••(ii)
From equation i, x = 7-y
Put this in equation ii
10(7-y) + 8y = 60
70-10y + 8y = 60
70-60 = 10y-8y
2y = 10
y = 10/2
y = 5
which is the graph of f(x)= 3 sq root -x?
Answers
Answer:
3rd option. The way you do it is just plug in negative x value let's say -8, plug it in then y would be a positive value. So that rules out first two options. Then plug in positive x value, y would be negative.
i need the answer shown on a graph
Answers
Answer:
i have no idea try to use m a t h w a y
Step-by-step explanation:
a carnival game has 18 balloons. Amy popped 2/3 the first game and 5/6 the second game. How many more balloons did she pop the second game?
Answers
Answer:
3 more balloons she has popped in the second game.
Step-by-step explanation:
Given that,
Total no. of balloons = 18
Amy popped 2/3 the first game and 5/6 the second game.
Balloons popped in first game = [tex]\dfrac{2}{3}\times 18=12\ \text{balloons}[/tex]
Balloons popped in second game = [tex]\dfrac{5}{6}\times 18=15\ \text{balloons}[/tex]
Difference of balloons popped in first and second game,
= 15-12
= 3 balloons
Hence, 3 more balloons she has popped in the second game.
What is the value of the expression ix0i1xi2xi3xi4?
Answers
Answer:The answer is - 1.
Step-by-step explanation:
How many times as many circles will there be at stage 21 compared to stage 20
Answers
Answer:[tex]2^{10}\ circles[/tex]
Step-by-step explanation:
Given
Stage 20 has [tex]2^9[/tex] circles
Considering at each consecutive stage circle doubles itself
So at stage 21, there will be [tex]2\times 2^9=2^{10}[/tex] circles
The area of a rectangular community the garden is 300 square feet. The length of a rectang!
three times its width. Find the length and width of the garden.
Answers
Answer:
30, 10
Step-by-step explanation:
length=x
wdith=y
xy=300, x=3y
replace x with 3y in the first equation to get
3y^2=300
y^2=100
since you cant have a negative side of a garden, y=10. x=30.
(05.01)A picture is 5 inches wide and 8 inches tall: A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches. A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? 40 in2 250 in2 100 in2 81.9 in2
Answers
Answer:
B. 250 in²Step-by-step explanation:
Dimensions of the picture:
5 in and 8 inArea of the picture:
5*8 = 40 in²Scale factor = 2.5
Enlarged picture's area:
40*2.5*2.5 = 250 in² (scale factor affects both dimensions)Option B is correct
The area of the picture after it is enlarged is 250 inches².
Given that,
The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture.
Based on the above information, the calculation is as follows:
Here, the dimensions of the picture are 5 in and 8 in
Hence, the area of the picture is,
5 × 8 = 40 in²
Since, Scale factor = 2.5
So, the enlarged picture's area would be,
40 × 2.5 ×2.5
= 250 in²
To learn more about the rectangle visit:
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Can any one help me if x={a,b,c,d},A={b,c,d}andB={b,d,a,c}which one is the proper subject of X?
Answers
Answer:
Set A is the proper subsets of X and not Set B since set B has all the elements of set X
What is 1/2x+1.5-2-7 simplified
Answers
1\2 ÷ 1\2 i dont know the please help
Answers
Answer:
I think 1/2 divided 1/2 is equal to 1
Step-by-step explanation:
I put in into the calculator and it said 1
Which of the following expression is a perfect square?
A. 4x
B. 4x2
C. 6x4
D. 8x
Answers
Find the value of x.
Round to the nearest tenth.
100°
25
30
х
x = [?]
Law of Cosines : c2 = a + b2 - 2ab cos C
Answers
Answer:
x ≈ 42.3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesPre-Calculus
Law of Cosines: c² = a² + b² - 2(a)(b)cosC°Step-by-step explanation:
Step 1: Identify
Leg a = 25
Leg b = 30
C = 100°
Leg c = x
Step 2: Solve for x
Substitute [LOC]: x² = 25² + 30² - 2(25)(30)cos100°Exponents: x² = 625 + 900 - 2(25)(30)cos100°Multiply: x² = 625 + 900 - 1500cos100°Evaluate: x² = 625 + 900 - 1500(-0.173648)Multiply: x² = 625 + 900 + 260.472Add: x² = 1525 + 260.472Add: x² = 1785.47Isolate x: x = 42.2548Round: x ≈ 42.3which expression is not equivalent to the other three
2x+2+ + 3× -8
4 + 7× - 2
-2 + 5× + 2× - 4
8× - × - 6
Answers
Answer:
-2+5x+2x-4
Step-by-step explanation: