To show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and 13 cm the procedure that can be used is : C. Knowing that 52 + 122 = 132, draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to
form a right triangle.
In Option C, we are given the lengths 5 cm, 9 cm, 12 cm, and 13 cm. The converse of the Pythagorean theorem states that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
In this case, we have 52 + 122 = 132, which satisfies the condition for a right triangle according to the Pythagorean theorem.
By drawing the 5 cm side and the 12 cm side with a right angle between them, we can see that the 13 cm side will fit perfectly to form a right triangle. This demonstrates the converse of the Pythagorean theorem.
Option C is the correct procedure to show the converse of the Pythagorean theorem using the given side lengths.
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Denise has $4.25 and needs to buy school supplies. She has a package of pencils that costs $1.75, a notebook that costs $1 and some erasers (x) that costs $0.25 each. At most, how many erasers can denise buy?
Answer:
6 erasers
Step-by-step explanation:
The pencils and the notebook together cost $2.75, from there you can calculate how many erasers.
1 eraser would bring the total to $3, therefore Denise can buy $1.25 more of erasers which is 5. 3 + 1.25 is $4.25. therefore Denise can buy 6 erasers
Answer:
he can buy 6 erasers
Step-by-step explanation:
because if you add 1.75 plus one and add 0.25 ....6 times it will equal 4.25 i hope this was helpful
Can someone please answer my question? i have been working on school work all day.
here is 30 points just please answer all my questions that i post and i will give more
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses.
b. 2x - 7 and the opposite of 2x
Answer:
-70x
Step-by-step explanation:
The sum of twice a number and 18 is 5 less than three times the number, Write the
equation and find the number.
Step-by-step explanation:
Let x represent the number.
We have 2x + 18 = 3x - 5, therefore x = 23.
The number is 23.
what is the graph for y=2x+1
Solve for the variable.
6x-5=12
Answer:
6x-5=12 +5
6x=17 :6
x=2.8333333333
Step-by-step explanation:
prove me wrong
2(x-6)+3x+4=
Helpppppp.
Answer:
5x + (-8)
Step-by-step explanation:
2(x-6)+3x+4=
Distribute:
(2)(x)+(2)(−6)+3x+4
=2x+−12+3x+4
Combine Like Terms:
(2x+3x) + (-12+4)
= 5x+(-8)
Hhhjeeeeelllppppp pppplllllsss
Answer:
c= 89
Step-by-step explanation:
the angles of a triangle add up to 180
in this triangle, our angles are:
c-33
c-25
c-29
this means that
(c-33) + (c-25) + (c-29) = 180
3c - 87 = 180
add 87 to both sides
3c = 267
divide both sides by 3
c = 89
PLEASE HELP! <3
What is the slope of the line?
Answer:
0
Step-by-step explanation:
The slope formula is (change in y)/(change in x)
since the numerator (change in y) is 0, the slope will be 0
A rectangular swimming pool is 28 feet wide. Jason drew the pool at the scale below. 1 inch : 4 feet How many inches wide is Jason's drawing?
F. 4 inches
G. 7 inches
H. 14 inches
J. 21 inches
PLEASE HELP ME WITH THIS
Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back with 3% simple interest every month for one year. What is the total amount of money Gwen will owe her parents? *
Just enter the numerical portion of your answer - no dollar signs or change needed!
Answer:
408
3 percent of 300 is 9.
So it is $9 every month times 12 months
is equal to 108 so add the 300 on top of the 108 = 408
Step-by-step explanation:
If the circumference of a circle is rational, the area is always rational.
Answer:
Yes!!!
Step-by-step explanation:
Since π is non-terminating non-recurring i.e., an irrational, thus the area will always be rational provided with the circumference is rational.
In the figure, angle E measures 54° and angle G measures 29°. What is the measurement of angle H?
A.
25°
B.
34°
C.
97°
D.
126°
Answer:
H=97 degrees or choice "C"
Step-by-step explanation:
Assuming this is a triangle:
All triangles contain 180 degrees, so:
180=E+G+H, or H=180-E-G
H=180-54-29
H=97
H=97 degrees or choice "C"
7+(-4) please help thank you
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Note that adding a negative quantity is equivalent to subtracting the negative quantity, that is
7 + (- 4) = 7 - 4 = 3
What is the y-intercept of a line that passes through the points (2,7) and (6, 1)?
Answer:
Step-by-step explanation:
The y-intercept is 10 of the line that passes through the points (2,7) and (6,1).
What is a slope intercept?The equation of a line is found using the slope-intercept form of a straight line. We need to know the slope of the line and the intercept where the line crosses the y-axis in order to use the slope-intercept formula. Consider a straight line with y-intercept b and slope m. For a straight line with slope "m" and y-intercept "b," the slope intercept form equation is: y = mx + b.
Given that the points are (2,7) and (6, 1).
To find the equation, using the slope formula;
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 -7) / (6-2)
m = -6/4
m = -3/2
Now to find the slope intercept form,
y = (-3/2)x + b,
here b is the y-intercept.
Now we will substitute the value of (2,7) in the slope intercept equation.
Hence, b = 10
Therefore, the y-intercept is 10 of the line that passes through the points (2,7) and (6,1).
To learn more about the slope-intercept form;
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Simplify the expression so there is only one positive power for each base.
i hope you understand
What is the angle measurement for 3/8 of a circle ??
Answer:
3pi/11...
.
.
.
...
.
.
.
.
...
...
...
Answer:
135
Step-by-step explanation:
360/8=45
45x3=135
What is 25*25?
Yehawwwwwwww
Answer:
625
Step-by-step explanation:
Answer:
25×25
25
× 25
______
125
+ 500
_______
625
I need help solving this practice question
Answer:
Answer is the 3rd one
Step-by-step explanation:
They are asking to see what other angle looks equivalent to angle Y, so simply just look at the other angles and later you come to find that angle C is an exact match compared to angle Y.
Have a great day!
Help pls thank you !!
Answer:
B is correct 4⁷ is the final answer
Evaluate d−7 when d=10.
d−7=
plsss i need an answer
Answer:
Its 3
Step-by-step explanation:
If we know that d is 10 we can substitute d for 10 thus giving us 10 - 7 which is 3
We are given,
d - 7 .....[eqⁿ (i)]and we are also given the value of d :
d = 10Now, just put the value of d = 10 in eqⁿ (i) we get :
10 - 73Hence your final answer is 3.3y=-6x+1 solve for y
Answer:
y= 2x +1/3
Step-by-step explanation:
3y= 6x+1
divide the whole equation by 3 to isolate y
y= 2x+1/3
Following are the calculation to the given value:
Given:
[tex]3y=-6x+1[/tex]
To find:
[tex]y=?[/tex]
Solution:
[tex]\to 3y=-6x+1\\\\\to y=-\frac{6x+1}{3}\\\\\to y=-\frac{6x}{3}+\frac{1}{3}\\\\\to y=-2x+\frac{1}{3}\\\\[/tex]
The final value of y is "[tex]=-2x+\frac{1}{3}\\\\[/tex]".
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C=5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.
2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
3. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
D) I and II only
Step-by-step explanation:
Cesar, Carmen, and Dalila raised $95.34 for their tennis team. Carmen raised $12.12 less than Cesar, and Cesar raised $35 more than Dalila.
If x = the amount raised by Carmen, choose the expressions that represent the amount each other player raised.
Let Cesar's, Carmen's and Dalila's amount be represented by x, y and z respectfully.
Since they're money sum up to $95.34, the first expression will be;
x+y+z=95.34
Carmen_y_ is $12.12 less than cesar_x, so the equation will be ;
y=x-12.12
Cesar_x_raised $35more than Dalila_z. So the equation will be;
x=z+35
making z the subject, z=x-35 .
Substituting the Second equation into the first one, we get;
x+x-12.12+z=95.34
Subtracting the third equation into the new equation we get;
x+x-12.12+x-35=95.34
Simplifying, we get 3x- 47.12= 95.34.
3x=142.46
ILL GIVE BRAINLIEST PLEASE HELP THE PICTURE IS ATTACHED
Answer:
Its C x=4, -4
explanation:
Take the root of both sides and solve
The graph shows the amount of money Miguel earns after working x hours.
What is the rate of change of the amount earned with respect to hours worked for this function?
hours per dollar
hours per dollar
3 dollars per hour
13 dollars per hour
What is the slope of the line?
−3
3
Answer:
13 dollars
and slope is 3
Step-by-step explanation:
What is the highest common factor of 45 and 315?
The GCF of 45 and 315 is 45. So before conformation of my answer refer to your math teacher .
What is the mean of the set {4, 6, 8, 10}?
Answer:
Step-by-step explanation:
8 I think
Answer:
Defination:
.the collection of distinct elements or members.
Step-by-step explanation:
What is the ratio of boys to girls in Mrs. Carlton's class, which has a total of 31 students, 14 of whom are girls?
Answer:
17:14 or 17 to 14
Step-by-step explanation:
since you know there are 14 girls, subtract 14 from 31 and then you'll get 17. since its asking for a ratio of boys to girls not girls to boys, you put boys first, then girls. so your answer will be 17:14
Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.
What does X equal?
Answer:
3.2 plz help me to
Step-by-step explanation:
Answer:
3.2
Step-by-step explanation:
A plane took 3h 33 min to finish a journey. If the distance of the journey was 2840 miles, at what average speed did the plane travel?
____ mph
Answer:
The average speed of the plain was 800 miles/h
Step-by-step explanation: