Answer:
Answer is explained in the explanation section
Step-by-step explanation:
Solution:
Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.
Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]
Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]
First of all let's check the first triangle is right triangle or not.
a = 12
b= 16
c= 20
So,
[tex]a^{2} + b^{2} = c^{2}[/tex].
144 + 256 = 400
400 = 400
Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle
hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.
Now, we have find out the side opposite to the 90 degrees angle, which is c.
we also know that, right triangles sides follow the pattern of 3x,4x and 5x
Since, c is the longest side.
Hence, c= 5x
Is the following table proportional or non-proportional?
Answer:
proportional
Step-by-step explanation:
y= -7x
Which expression is equivalent to? help
PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS!
Answer:
cccccccccccccccccccccc
Answer:
It is D.) Infinite Solutions
Step-by-step explanation:
0.5(10x + 6) = 2x + 3 + 3x
5x + 3 = 5x + 3
Steve sold 252 fruit baskets for a school fundraiser ever sold 25 fruit baskets for each 100 baskets that Steve sold, How many fruit baskets did Evis sell?
Answer is 4
hope this helps
What is 3 fourths times one half
Answer: 0.375
Step-by-step explanation:
so I have to take my keystone's soon even tho I have only half of the required material learned cuz of corona and I have to pass them to graduate so does anyone know a good app where I can study those topics
Find the value of each.
4 boxes of pasta at $1.25 each
Answer:
The total of all the boxes would be $5.00.
how do you math please help me
Camille bought a set of kitchen chairs discounted 25% off of the original price of $170. What was the sale price of the set of chairs?
Answer:
127.5
Step-by-step explanation:
0.25*170 then take away from 170
$127.5 was the sale price of the set of kitchen chairs.
Given:
Camille bought a set of kitchen chairs at discounted 25% off of the original price.
The original price of a set of kitchen chairs = $170
To find:
The sale price of the set of kitchen chairs.
Solution:
The original price of a set of kitchen chairs = O.P = $170
The percent of discount on the set of kitchen chairs = d% = 25%
The discount price on the set of kitchen chair= D
[tex]d\%=\frac{D}{O.P}\times 100\\25\%=\frac{D}{\$170}\times 100\\D=\frac{25\times \$170}{100}=\$42.5[/tex]
The sales price of a set of kitchen chairs = S.P
[tex]S.P=O.P-D\\=\$170-\$42.5=\$127.5[/tex]
$127.5 was the sale price of the set of kitchen chairs.
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The length of a rectangle is 2 units more than the width. The area of the rectangle is
35 units. What is the width, in units, of the rectangle?
Answer:
7
Step-by-step explanation:
Area of the value of area
Cheri uses her Tune-It-Up music card to make a $12 purchase of a few of her favorite songs. Which integer represents the effect of Cheri's purchase on the balance of her music card?
A) −$12
B) −$11
C) $0
D) $12
Answer:
Step-by-step explanation:
A, -12
if she had an x amount on her card,
after the buys the songs, she will have x-12 left
4/x = 2/7 please help ASAP!!
Answer:
use cross multiplication to solve
4*7 = 2*x (multiply)
28 = 2x (divide both sides by 2 to isolate x )
x = 14 (your answer)
Step-by-step explanation:
I hope this helped :)
Answer:
Step-by-step explanation:
Or,2×x=7×4
Or,2x=28
Or,x=14
7TH GRADE 30 POINTS FOR ONS QUESTION HELP PLEASE
Answer:
G
Step-by-step explanation:
It is G,
Given a line with a slope of 8 and a y-intercept of (0,-7), write the equation
of the line.
Answer:
y=8x-7
Step-by-step explanation:
Write an equation of a line that has a y-intercept of 5 and passes through the point (-4,4)
I need Help please
Answer:
[tex]\huge\boxed{y= \frac{1}{4}x+5}[/tex]
Step-by-step explanation:
In order to find the equation to this line, we have to note that with an incomplete equation, we can substitute in a point on the graph to find an unknown value.
The equation of a line is most commonly written in slope-intercept form, making it [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
We know the y-intercept, which is 5, so our equation is currently [tex]y=mx+5[/tex].
We also know that the point (-4, 4) lies on this line. Therefore, we can plug it into our formula.
[tex]4 = -4m + 5[/tex] [tex]-1= -4m[/tex] [tex]m = \frac{1}{4}[/tex]This means that the slope of our line is [tex]\frac{1}{4}[/tex]. Plugging that into our equation as m makes the final equation
[tex]y = \frac{1}{4}x + 5[/tex].
Hope this helped!
A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 9
Answer:
The probability is 1/6
Step-by-step explanation:
Since we are rolling a pair of die, the number of expected results is 36
Sum that can be greater than 9 include;
4,6
6,4
5,5
6,5
5,6
6,6
This shows 6 out of a possible 36
So the probability will be 6/36 = 1/6
999 pencils cost \$7.74$7.74dollar sign, 7, point, 74.
Which equation would help determine the cost of 666 pencils?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{6}{x} = \dfrac{9}{\$7.74}
x
6
=
$7.74
9
start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice B)
B
\dfrac{x}{6} = \dfrac{9}{\$7.74}
6
x
=
$7.74
9
start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice C)
C
\dfrac{9}{6} = \dfrac{x}{\$7.74}
6
9
=
$7.74
x
start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction
(Choice D)
D
\dfrac{6}{x} = \dfrac{\$7.74}{9}
x
6
=
9
$7.74
start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction
(Choice E)
E
None of the above
Answer:
A= 6/x=9/$7.74
Step-by-step explanation:
Khan Academy
In parallelogram DEFG if m_DEF=110° find m_FGD.
E
110°
D
G
Answer:
E=x
or 110= x ( opposite angles of parallelogram are congurent)
E+D = 180 ( angles on st line)
110+D =180
D=70
D=F ( opposite angles of parallelogram are congurent)
so F=70
How many inches are in 4 1/2 yards of fabric?
Answer: 162 inches
Step-by-step explanation: 4 yards are 144 inches and 1 yard alone is 36 when you divide it by half it’s 18. (144+18=162)
To convert [tex]4 \dfrac{1}{2}[/tex] yards of fabric to inches, multiply by 36.
Therefore, there are 162 inches in [tex]4 \dfrac{1}{2}[/tex] yards.
For the measurement, we know
1 yard = 36 inches
The given measurement is: [tex]4 \dfrac{1}{2}[/tex] yards
Convert it into an improper fraction,
[tex]4\dfrac{1}{2} = \dfrac{4 \times 2 + 1}{2} \\\\ = \dfrac{9}{2}[/tex]
Thus, [tex]4 \dfrac{1}{2}[/tex] yards can be written as [tex]\dfrac{9}{2}[/tex] yards.
Since 1 yard = 36 inches
Therefore,
(9/2) yards = (9/2)x36 inches
= 9 x 18 inches
= 162 inches
Hence,
The measurement [tex]4 \dfrac{1}{2}[/tex] yards are equivalent to 162 inches.
To learn more about the measurement unit visit:
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Solve this equation
S=5t+45
Answer:
t= 1/5s-9
Step-by-step explanation:
use math papa next time ;)
(1/2(7x3))^3= plz help
Answer:
1/2 X 7 X 3 X 3 = 31.5
Step-by-step explanation:
2
Which list orders integers from least to greatest?
A.
-2, -4, -5, 7, 3
B.
-2, -4, -5, 3, 7
C.
-5, -4, -2, 3, 7
D.
-5, -4, -2, 7, 3
What is the simplified form of
72x16/50x36 ? assume x ≠ 0
Answer:
Option A
Step-by-step explanation:
[tex]\sqrt{\frac{72x^{16} }{50x^{36} } } = \sqrt{\frac{36x^{16} }{25x^{36} } } = \frac{\sqrt{36x^{16} } }{\sqrt{25x^{36} } } = \frac{\sqrt{36} \times \sqrt{x^{16} } }{\sqrt{25} \times \sqrt{x^{36} } } = \frac{6x^{8} }{5x^{18} } = \frac{6}{5} \times x^{8-18} =\frac{6}{5} \times x^{-10} = \frac{6}{5x^{10} }[/tex]
8 percent as a fraction or mixed number in simplest form
Answer: 2/25
Step-by-step explanation:
A line passes through the origin and has a slope of 1/2 witch of the following points does the line not pass threw
Step-by-step explanation:
ahhhhhh let's see probably 1,4
please show work to thank you
Answer:
Step-by-step explanation:
1) AC⊥BD and BD bisects AC 1) given
2) AD≅DC 2) linear bisector thm.
3) ∠ADB and ∠CDB are right angles 3) perpendicular bisector thm.
4) ∠ADB ≅ ∠CDB 4) all right ∡'s are congruent
5) BD ≅ BD 5) reflexive POV
6) ΔABD ≅ ΔCBD 6) SAS
Hope this helps!
btw, I was not able to put the lines on top of some of the letters, so my apologies.
BONUS QUESTION
What is the "product" of 20 and 5? *
92.37 ______ 9.237 * (>, , <, =)
The fraction 2/3 is equivalent to 6/9. *
Name an example of an IMPROPER fraction. *
Guys pls i beg i would HIGHLY APPRECIATE IF YOU ANSWER ALL OF ThEM PlEaSe :(
Answer:
Here you go
Step-by-step explanation:
1. 100
2. >
3. true
4. [tex]\frac{7}{3}[/tex]
how do you find the quadratic equation to a graph like this
Answer:
b²-4ac=0
Step-by-step explanation:
x=-b+0/2a
so,x=-b/2a
whats 10n - 5(2n - 5)= ?
Answer:
6 !
3 !
log 2 ( 16 )
log 13 ( 28 )
Answer:
25
Step-by-step explanation:
Distribute -5 through the parentheses
10n-10n+25
Subtract
10n-10n=0
Leaving you with 25 as your answer
8) If a cube is cut by a plane to form a cross section, under what circumstance can the cross section
be a non-rectangular parallelogram?
