Answers
Answer:
Step-by-step explanation:
1) Statements Reasons
ABCD is a trapezoid Given
AD ║ BC bases of trapezoid are parallel
∠AED = ∠CEB vertically opposite angles are equal
∠EBC = ∠ADE alternate interior angles are equal and BD is transversal
∠ECB = ∠EAD alternate interior angles are equal and AC is transversal
ΔAED ~ ΔCEB ∠ECB = ∠EAD & ∠AED = ∠BEC & ∠EBC = ∠ADE
all angles are same and their shape is same, so similar
2) hope you can write 2nd one as above two column proof
T is the mid point of QR
U is the mid point of QS
V is the mid point of RS
Definition: The segment of line joining the middle points of two sides of a triangle is called middle segment.
Inference: A middle segment of a triangle is parallel to the third side and its lengths is half the third side's.
so here TU ║ RV and TU = RV
UV ║ TR and UV = TR
so TUVR becomes a parallelogram
∠TUV = ∠TRV --------> condition 1
same goes with parallelogram TQUV
∠TQU = ∠UVT ----------> condition 2
same goes with parallelogram TUSV
∠UTV = ∠USV ------------> condition 3
from the above 3 conditions we can say
ΔQRS ~ ΔVUT
3) see the below figure for graph
in both triangles ∠B is common
AC and TS are parallel lines
BC and BA are transversals
∠C ∠S are equal --> corresponding angles
∠A ∠T are equal ---> corresponding angles
so ΔABC & ΔTBS are similar
Related Questions
7.
Fit a quadratic function to these three points:
(−1, −11), (0, −3), and (3, −27)
y = −4x^2 − 4x + 3
y = −4x^2 − 4x − 3
y = −4x^2 + 4x − 3
y = 4x^2 − 4x − 3
Answers
Answer:
y = −4x^2 + 4x − 3
Step-by-step explanation:
multiply 4 (-52/3) in simplest form
Answers
Answer:
Should be -69 1/3
Step-by-step explanation:
Let X equal the decimal number
Equation 1:
X=69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
With 10 digits in the repeating decimal group,
create a second equation by multiplying
both sides by 1010 = 10000000000
Equation 2:
10000000000X=693333333333.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Subtract equation (1) from equation (2)
10000000000XX9999999999X===693333333333.3333333333...69.3333333333...693333333264
We get
9999999999X=693333333264
Solve for X
X=6933333332649999999999
Find the Greatest Common Factor (GCF) of 693333333264 and 9999999999, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 3333333333,
693333333264÷33333333339999999999÷3333333333=2083
Simplify the improper fraction,
=6913
In conclusion,
−69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯=−6913
what is the gcf of 8 and 11?
Answers
To find the greatest common factor, line both numbers up and continue adding that specific number until you find two factors that correlate with both numbers.
With that being said, let's begin.
8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88
Simply add 8.
11: 11, 22, 33, 44, 55, 66, 77, 88
Simply add 11.
The greatest common factor of 8 and 11 is 88.
Find the perimeter. Simplify your answer.
Answers
Answer:
3a+ 16
Hope this helps!
-6(2v)+3a(3); v=1/3 a=2/3
Answers
Answer:
0
Step-by-step explanation:
-6(2(1/3)+3(2/3(3))=
Starting with pedmas (parenthesis, exponents, division, mulitplication, addition, subtraction).
We look at 2*1/3 and 2/3*3
[tex]2*\frac{1}{3}=\frac{2}{3}[/tex] and [tex]\frac{2}{3}*3=2[/tex]
[tex]-6(\frac{2}{3})+3(2)[/tex]=-6+6=0
[tex]v = \dfrac 13 ,~ a = \dfrac 23\\\\-6(2v) +3a(3)\\\\=-12v + 9a\\\\=-12\left(\dfrac 13 \right) + 9 \left( \dfrac 23 \right)\\\\=-4+ 3 \cdot 2 = -4 +6 = 2[/tex]
I built a toy model of my car that is 15 inches long.If my actual car is 20 feet long.What is the scale distance between the toy model and the actual car?
Answers
tell me if it’s wrong or not
If I built a toy model of my car for the given condition the scale distance between the toy model and the actual car will be 225 inches.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
The term PEMDAS describes the sequence in which arithmetic operations must be carried out in an equation.
It is given that the length of the toy model car is 15 inches and the actual car is 20 feet
As we know 1 foot consists of 12 inches as a result 20 feet has 240 inches.
The scale distance between the toy model and the actual car is the difference between the actual length and the model length.
Scale distance = 240 inches - 15 inches
Scale distance =225 inches
Thus, if I built a toy model of my car for the given condition the scale distance between the toy model and the actual car will be 225 inches.
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1) 9 × 0 + (-80) + 8 = ?
Answers
9 × 0 + (-80) + 8 = ?
= 0 - 80 + 8
= -80 + 8 <==> 8 - 80
= -72
~bilbul
9 × 0 + (-80) + 8
= 0 + (-80) + 8
= (-80) + 8
= -72 ✔️
:)
Ruth wants to purchase a new video game that costs $59.00 and several bags of chips that sell for $1.99 each. She can spend no more than $75.00. Which inequality and its solution represents her possible purchase?
Answers
Answer:
1.99c + 59 ≥ 75, where c ≥ 8.04
Step-by-step explanation:
What is the equation of this line?
A y= 6x - 4
B y= 1/4 x -6
C y=6x - 1/4
D y= 4x - 6
Answers
Answer:
the answer is D pls brainliesttt
Gina Wilson all things algebra unit 4 homework 3 questions 12-15
Answers
Step-by-step explanation:
the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.
therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.
from there we get really all 4 answers.
the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.
12.
3x + 18 + 7x - 58 + 2x - 8 = 180
12x - 48 = 180
12x = 228
x = 19
angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees
angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees
angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees
13.
8x - 17 + 19x + 4 + 5x + 1 = 180
32x - 12 = 180
32x = 192
x = 6
angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees
angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees
angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees
14.
KL = 9x - 14
LM = 7x - 37
KM = 3x + 23
angle K = angle L
so, the sides LM and KM must be equally long. that gives us
7x - 37 = 3x + 23
4x = 60
x = 15
KL = 9x-14 = 9×15 - 14 = 135-14 = 121
LM = 7x-37 = 7×15 - 37 = 105-37 = 68
KM = 3x+23 = 3×15 + 23 = 45+23 = 68
15.
XY = 13x - 21
YZ = 8x - 6
XZ = x + 4
angle X = angle Z
so, the sides XY and ZY (or YZ) must be equally long. that gives us
13x - 21 = 8x - 6
5x = 15
x = 3
XY = 13x-21 = 13×3 - 21 = 39-21 = 18
YZ = 8x-6 = 8×3 - 6 = 24-6 = 18
XZ = x + 4 = 3+4 = 7
In a 30 minute show 12 minutes of airtime are spent on commercials. Determine what percent of the television show air time is spent on commercial
Answers
The fraction would be 12/30 which can be simplified to
2/5
which is 40%
Due to delays, a company had to extend a project from 26 days to 42
days. What was the percentage increase in time to complete the
project? Round your answer to the nearest tenth.
Answers
Answer:
It should be 38.1
What is the slope of the graph of the given line?
Answers
Answer:
slop = 2/3
Step-by-step explanation:
slope = rise/run
Start at the lower left point (-2, -1).
We need to go to the upper right point (4, 3) by going only vertically (rise) and horizontally (run).
First we go up 4. The rise is 4.
Then we go right 6. The run is 6.
slope = m = rise/run = 4/6 = 2/3
slope = 2/3
Measure these angles.
a)
b)
Answers
PLEASE HELP ME !! ILL MARK U BRAINIEST
Answers
hope you like my answer its 17
the height of mont blanc is 4810 m correct to the nearest 10 meters. what is its least possible height
Answers
Subtraction is a mathematical operation that reflects the removal of things from a collection. The least possible height of the mont blanc is 4800 meters.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given the height of mont blanc is 4810 m correct to the nearest 10 meters. Therefore, the least possible height of the mont blanc can be written as,
Least height = 4810m - 10m = 4,800 meters
Hence, the least possible height of the mont blanc is 4800 meters.
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Belvedere goes to the store and buys a garden statue for $30. The store has a sales tax rate of 7.8%. How much tax will Belvedere have to pay?
Answers
Answer:
$2.34
Step-by-step explanation:
30x0.078=2.34
Shamika earns $25.75 one week. The next week she earns $37.80, and she spends $32.How much money does Shamika have from these two weeks?
Answers
Answer: $31.55
Step-by-step explanation:
$25.75 + 37.80 - 32.00 = $31.55
I'm confused on if it's 3 or 2
Answers
Answer:
it's 3 cause if u do 1 2 3 there are 3 hearts and they are broke up in half so 6
What is the value of a? Enter the answer in the box.
Answers
Answer:
a = 25°
Step-by-step explanation:
60° and 3a - 15° are congruent because they are corresponding.
60 = 3a - 15
75 = 3a
a = 25°
-Chetan K
What is 5,000 x 1,000
Answers
Five million
Answer:
The Answer is 5,000,000
Hope this helps!!
PLEASE HELP ME AND NOT JUST ANSWER FOR POINTS!!!
Answers
Find the nth term of this sequence
-3 -5 -7 -9 -11 ...
Answers
Answer:
Step-by-step explanation:
Answer:
2n-1
Step-by-step explanation:
-5 ---> -3 = 2
-3 -2= -1
Can you figure out if the slopes are parallel, perpendicular or neither and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answers
Answer:
1. C, 2. A, 3. C, 4. B
Step-by-step explanation:
Parallel: slopes are equal. In problem 2, the slopes appear to be 2 ("rise over run") One line passes through points (2, 1) and (3, 3) -- y increases by 2 if x increases by 1. The other line passes through points (0, 3) and (1, 5) -- y increases by 2 if x increases by 1. The lines have the same slope.
Perpendicular: slopes are opposite reciprocals (they have opposite signs). In problem 4, that happens: 2/3 and -3/2. That is not the relationship between slopes in problem 3. 1/3 and 3 are not opposite reciprocals.
Corrected! #4 is B (perpendicular)
Find the vertices of the dilated figure whose original coordinates are A (0, 0), B (0, 9), C (8, 8) and D (10, 0) which is dilated by a scale factor of 6.
A' (0, 0), B' (0, 54), C' (48, 48), and D' (60, 0)
A' (0, 0), B' (0, -54), C' (-48, 48), and D' (60, 0)
A' (0, 0), B' (0, 54), C' (48, -48), and D' (60, 0)
A' (0, 0), B' (0, 54), C' (48, 48), and D' (-60, 0)
Answers
Answer:
A
Step-by-step explanation:
when dilating by a scale factor of 6, you are starting at the origin and just making it larger by a factor of 6, so you multiply the coordinates by 6 and get A
you have $5.88. You buy 8 items that cost $0.44 each How many items much money do you have left?
Answers
Answer:
$2.36
Step-by-step explanation:
0.44 x 8 = 3.52
5.88 - 3.52 = 2.36
$2.36
-Chetan K
solve pls brainliest
Answers
Answer:
95%
Step-by-step explanation:
19/20=0.95
0.95x100=95%
hope this helps ^^
There are 60 pupils in the library. The boys are 14 more than the girls. How many girls are there in the library?
Answers
Answer:
32
Step-by-step explanation:
Trust me its hard to explain.
How long did it take a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s?
Answers
It will take 2 seconds a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
Given:
A constant acceleration is of 50 meter per second.
A jet to accelerate from 200 m/s to 300 m/s.
Acceleration is 100 meters per 2 seconds.
That means,
it will take = (300 - 200)/ 50 m/s
= 2 seconds.
Therefore, it will take 2 seconds.
To learn more about the division;
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Solve pls brainliest
Answers
Answer:
The answer is 60%
Step-by-step explanation:
To solve that, just divide 24 by 40
24 ÷ 40 = 0.6
Now turn 0.6 to fraction.
0.6 = 60%