Select the two pairs of figures that are similar.
Angle measures are rounded to the nearest integer.
Answers
The two pairs of figures that are similar are shown in figure 1 and 3.
What is Similar quadrilateral?
Two quadrilaterals are similar when there corresponding angles are equal to each other.
Given that;
In figure 1;
Two triangles are shown.
In figure 2;
One rectangle and other is square.
In figure 3;
Two rectangle are shown.
Now,
Since, Two quadrilateral are similar when there corresponding angles are same.
In the figure 1;
The angles of first triangles = 37° , 53°
So, The third angle = 180 - (37 + 53)
= 90
The angles of second triangles = 37° , 53°
So, The third angle = 180 - (37 + 53)
= 90
Thus, There all angles are equal to each other.
So, These figure are Similar.
And, In figure 2;
One figure is square and other is a rectangle.
So, It is not similar.
And, In figure 3;
Both figure are rectangle.
And, All angles in a rectangle are 90 degree.
Thus, they are similar.
Therefore,
The two pairs of figures that are similar are shown in figure 1 and 3.
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Related Questions
Urgent!
18. A tennis ball is launched straight upward with an initial velocity of 24.5 m/s from the edge of a cliff that is 117.6 meters above the ground. Which quadratic equation could be used to correctly determine when the ball will hit the ground:
4.9t2 + 24.5t + 117.6 = 0
-4.9t2 - 24.5t + 117.6 = 0
-4.9t2 + 24.5t - 117.6 = 0
4.9t2 + 24.5t - 117.6 = 0
-4.9t2 + 24.5t + 117.6 = 0
19. Solve the equation you chose in question 18 to determine when the ball will hit the ground. (HINT: If you don't get one of the answers listed for this question, then maybe you chose the wrong equation in #18. Use this opportunity to double check your work!)
t = 8 seconds
t = 4 seconds
t = 3 seconds
t = -3 seconds
The ball will never reach the ground.
20. Using the same equation, determine when the ball is at a height of 49 meters.
Answers
Step-by-step explanation:
18.
the last one.
-4.9t² + 24.5t + 117.6 = 0
the ball starts at 117.6 meters height. then, during the first seconds the thrust upwards is adding height, until finally, with more and more seconds passing, gravity will win with a vengeance and pulls the ball down faster and faster than any other force in any other direction.
19.
the general solution for a quadratic equation
y = ax² + bx + c
is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = t
a = -4.9
b = 24.5
c = 117.6
t = (-24.5 ± sqrt(600.25 - -4×4.9×117.6))/-9.8 =
= (-24.5 ± sqrt(600.25 + 2304.96))/-9.8 =
= (-24.5 ± sqrt(2905.21))/-9.8 = (-24.5 ± 53.9)/-9.8
t1 = (-24.5 + 53.9)/-9.8 = -3
t2 = (-24.5 - 53.9)/-9.8 = 8
a negative time does not make any sense, so the real solution is : the ball reached the ground after 8 seconds.
20.
now the equation is
-4.9t² + 24.5t + 117.6 = 49
but this is quickly transformed again into a "= 0" equation :
-4.9t² + 24.5t + 68.6 = 0
t = (-24.5 ± sqrt(600.25 - -4×4.9×68.6))/-9.8 =
= (-24.5 ± sqrt(600.25 + 1344.56))/-9.8 =
= (-24.5 ± sqrt(1944.81))/-9.8 = (-24.5 ± 44.1)/-9.8
t1 = (-24.5 + 44.1)/-9.8 = -2
t2 = (-24.5 - 44.1)/-9.8 = 7
again, negative time does not make sense.
the ball will be at 49 m height after 7 seconds.
Danielle wants to buy a magazine for $11. The sales tax is 5%. How much would the total cost of the magazine be with tax included?
Answers
Answer:
$11.55
Step-by-step explanation:
If we convert the percentage to 1.05 and multiply it by 11, it's 11.55.
Choose the best selection for the
quadrilateral with vertices at the
following points:
(0,0), (3,2), (6,0), (3,-2)
Hint: Start by graphing the points.
Distance Formula: d= V(x2-x1)2 + (y2 - y1)2
A. Rectangle
B. Square
C. Rhombus
D. Trapezoid
Answers
The quadrilateral with vertices at the points: (0,0), (3,2), (6,0), (3,-2) is a square
The vertices (or coordinates) of the quadrilateral is given as:
[tex](x,y) = (0,0), (3,2), (6,0), (3,-2)[/tex]
Calculate the distance between subsequent points, using the following distance formula
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]AB = \sqrt{(0 -3)^2 + (0 -2)^2}[/tex]
[tex]AB = \sqrt{13}[/tex]
[tex]BC = \sqrt{(3 -6)^2 + (2 -0)^2}[/tex]
[tex]BC = \sqrt{13}[/tex]
[tex]CD = \sqrt{(6 -3)^2 + (0 --2)^2}[/tex]
[tex]CD = \sqrt{13}[/tex]
[tex]DA = \sqrt{(3 -0)^2 + (-2 -0)^2}[/tex]
[tex]DA = \sqrt{13}[/tex]
Notice that the sides of the quadrilateral are congruent.
Hence, the quadrilateral is a square
Read more about quadrilaterals at:
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Answer:
it's not a
Step-by-step explanation:
what is the slope of the line?
Answers
Answer:
-8/3
Step-by-step explanation:
rise/run
rise: -8
run: 3
-8/3
Ankita height is 135 cm and Nita height is 150 express Ankita height as a percentage of Nita height
Answers
Answer: 90%
135/150 * 100
45*2
90
thank you in advance to whoever answers this question !!!!
Answers
Is -9 a real or imaginary number?
Answers
Answer:
-9 is a real number.
Hope you could get an idea from here.
Doubt clarification - use comment section.
find 3 arithmetic means between -4 and 16
Answers
Step-by-step explanation:
-4,_,_,_,16
Solution:
16= -4+(5-1)d
16= -4+4d
16+4= 4d
20=4d
4 4
d=5
-4 1 6 11
+5 +5 +5 +5
1 6 11 16
-4 ,1 ,6 ,11 ,16
what is the area of the rhombus with one side as 32cm and one diagonal as 18 meters
Answers
the area of the rhombus=32cm; one diagonal (q)=18meters
p=(2×area)/q
p=(2×32)/18=18
therefore the length of the unknown diagonal is 18.
the unknown diagonal can be calculated using the perimeter of the rhombus which is given as 32cm; one diagonal (p)=18 half of this diagonal
=18÷2=9units
The perimeter of the figure below is 41.6 in.
Find the length of the missing side.
Answers
Answer:
the answer is 5.9 since both sides are the same and on the other side its 5.9
Hope This Helps!!!
Can someone please take the time out of their day and help me with this question
Answers
Answer:
76, 76 104
Step-by-step explanation:
Angle 3 is vertical so it is congruent to Angle 2.
Angle 6 is corresponding, so it is congruent to Angle 2.
Angle 8 is linear to Angle 6, so they add to 180
Answer:
see explanation
Step-by-step explanation:
(a)
∠ 2 and ∠ 3 are vertically opposite angles and are congruent , then
∠ 3 = 76°
(b)
∠ 3 and ∠ 6 are corresponding angles and are congruent , then
∠ 6 = 76°
(c)
∠ 2 and ∠ 8 are same- side exterior angles and sum to 180° , that is
∠ 8 + 76° = 180° ( subtract 76° from both sides )
∠ 8 = 104°
√16 + 9 equals √16 + √9
true or
False
Answers
Answer:
True
Step-by-step explanation:
Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?
Answers
Answer:
$20,073.38
Step-by-step explanation: Step 1: Find the percentage. The formula for annual compound interest is A = P(1 + r)^t, where A = amount (total amount), P = principal (initial amount), r = rate (percentage), and t = time (in years). Our rate is 6%, which is 0.06 in decimal form. Add it to 1. 1 + 0.06 is 1.06.
Step 2: Raise 1.06 to the 5th power. Because we are finding the amount in 5 years, we do that step. 1.06^5 is 1.3382255776.
Step 3: Do not delete the decimal from the calculator. Multiply it by 15,000 to find the total amount. When you do, you get 20,073.383664 or 20,073.38 when rounded to the nearest hundredth.
Marla earns an 8% commission on a house that she sells for $450,000. How 1 point
much does she earn in commission for this sale?”
Answers
Answer:
$36,000
Step-by-step explanation:
8% of $450,000 = $36,000
A recursive rule for an arithmetic sequence is a1 = −4; an = an−1 + 11
a. What is a1?
b. What is d?
c. What is the iterative rule for the arithmetic sequence above? You do NOT need to simplify.
d. Find a10
Answers
pls help
Determine if each pair of ratios is equivalent or not. 6/8 21/36
Answers
Answer:
Not
Step-by-step explanation:
6/8 In Simplest Form 3/4
21/36 In Simplest Form 7/12 May Be The Answer Will Be Not Equivalent
Hope To Help!!!
What is the measure of angle PNL?
43°
47°
86°
94°
Answers
Answer:
43°
Step-by-step explanation:
Answer:
A- 43
Step-by-step explanation:
ed2022
Is 92.248 an integer? Yes or no
Answers
Answer:
NO no no non
Step-by-step explanation:
IHOPE THIS CORELRECT ANSWER
Find the slope of the line passing through the points (-8, -3) and (-3,4).
Answers
Answer:
7/5
Step-by-step explanation:
4 + 3 = 7
-3 + 8 = 5
7/5
In the equation = + , what does b represent?
Answers
Answer:
Although the equation is incomplete (b doesn't appear), I'll venture a guess that the correct equation looks something like this:
y = 2x + b [or y = mx+b]
b is the y-intercept.
Step-by-step explanation:
In the format of y = 2x + b, b represents the y-intercept (the value of y when x = 0).
Help PLEASE!!! I really need it I really do please anyone
Answers
Answer:
5. alternate interior angles
7. angle addition postulate
Which of the following is a square root of -18 ?
Answers
Answer:
It should be [tex]3\sqrt{2} i[/tex]
Step-by-step explanation:
Answer:
4.242.....
Step-by-step explanation:
Hope this helped!
If you can help, I’ll give brainliest
Answers
Answer:
sum of interior angles =180×3= 540°
m<F= 540-105-113-107-87
=128°
m<F= 128°
pls help me answer this
Answers
Step-by-step explanation:
hope it would help you...
Which equation could define the function below?
y= (x+1)(x+ .5) (x+ 3.5)
y= (x+1) (X - .5) (x-3.5)
y = (x-1) (X-.5) (x-3.5)
y= (x+1) (X- .5) (x +3.5)
Answers
Answer:
y= (x+1)(x+ .5) (x+ 3.5)
y= (x+1) (X - .5) (x-3.5)
y = (x-1) (X-.5) (x-3.5)
y= (x+1) (X- .5) (x +3.5)
Step-by-step explanation:
Evaluate.
[2−∣∣−14−2(−35)∣∣]÷(−6)
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answers
-7/40
/////
I honestly didn't know how to do this one. But thats the correct answer.
The solution of the mathematical expressions will be 0.175.
What is Number system?
A system of writing to express the number is called number system.
Given that;
The mathematical expressions are,
⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6
Now,
Solve the mathematical expression as;
⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6
Using the BODMAS rule to solve the expressions as;
⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6
⇒ [ 2 - | - 1/4 + 6/5 | ÷ -6
⇒ [ 2 - 19/20 ] ÷ -6
⇒ [ 21/20] ÷ -6
⇒ 21/20 x 1/-6
⇒ - 7 / 40
Therefore,
The solution of the mathematical expressions will be 0.175.
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How would I solve this?
Answers
Answer:
2a+3b=4a-3b
a+3=4b
b=3
a=9
Step-by-step explanation:
2a+3b=4a-3b
-2a=-6b
a=3b
a+3=4b
3b+3=4b
3=b
a=9
Please help! What does the clock, rope, and shoe equal?
Answers
Answer:
shoe = 5, clock = 3, rope = 13
Step-by-step explanation:
hope this helped :) i just used guess and check knowing that the shoe is clock+2 hahah
The value of y varies directly with the value of x. When y= 24, x = 4.
-
What is the value of x when y = 48?
O 6
0 8
O 28
0 288
Answers
Answer:
8
Step-by-step explanation:
whatever was done to y needs to be done to x.
in this case (y) was 2x so you need to 2x (x) making 4 into 8
find the sides marked with letters
Also explain how to solve it
Answers
Answer:
m = 10
Step-by-step explanation:
The triangles are similar. The scale factor is 15/9.
We multiply 6 by the scale factor and get m:
m = 6 * 15/9 = 10
Then we see that m (10) is also the lenght of a side in the smaller triangle, so we multiply 10 by 15/9 and find a.
a = 16,6 (circa)