Answer:
D
Step-by-step explanation:
Trust me I used a calculator and and different one to make sure my answer was correct.
{14, 48, 50} represents a Pythagorean Triple, hence option (D) is correct.
If three sides of any triangle are a, b and c and c is the largest one then the condition that a, b and c will form a Pythagorean triplet is as:
c² = a² + b² -----(1)
An option which will satisfy the condition (1) will form a Pythagorean Triple.
Let's check for all the given options:
A) {10,5,12}
Since, 12 is the largest number out of three.
Therefore, c = 12, a = 5, b = 10
Now,
a² + b² = 5²+10²
a² + b² = 25+100
a² + b² = 125
a² + b²≠ 15²
a² + b²≠ c²
Hence, {10, 5, 12} will not form a Pythagorean Triple. Option (A) is incorrect.
B) {2,4,5)
c = 5, a = 2, b =4
a² + b² = 2²+4²
a² + b² = 4+16
a² + b² = 20
a² + b² ≠ 5²
Hence, option (B) is also incorrect.
(C) {1,2,3}
c = 3, a = 1, b = 2
a² + b² = 1²+2²
a² + b² = 1+4
a² + b²= 5
a² + b² ≠ c²
This is also not forming a Pythagorean Triple, that is why incorrect.
(D) {14, 48, 50}
c = 50, a = 14, b = 48
a² + b² = (14)²+(48)²
a² + b² = 196 +2304
a² + b² = 2500
a² + b² = (50)²
a² + b² = c²
This satisfies the condition (1) hence, it is forming a Pythagorean Triple.
This option is an appropriate choice.
Hence, option (D) is correct, that means {14, 48, 50} represents a Pythagorean Triple.
Learn more about Pythagorean Triple here:
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what could be the domain and range
the domain is what x values the function takes on,
the range is what y values the function takes on
notice the open circle on (-8, -8) that means that it never actually touches (-8, -8)
however, there is a closed circle on (3, 4)
So, the domain is [tex](-8, 3][/tex]
and the range is [tex](-8, 4][/tex]
А
Triangles ACD and BCD are isosceles. Angle BAC has a
measure of 33 degrees and angle BDC has a measure of 35
degrees. Find the measure of angle ABD.
B
Answer:
The measure of angle ∠ABD is 125°
Step-by-step explanation:
The given parameters are;
Triangle of ΔACD = Isosceles triangle
Triangle of ΔBCD = Isosceles triangle
m∠BAC = 33°
m∠BDC = 35°
Whereby ΔBCD and ΔACD have their vertex in the same direction, we can have;
[tex]\overline {AD}[/tex] ≅ [tex]\overline {AC}[/tex] Given sides legs of triangle ACD
[tex]\overline {BD}[/tex] ≅ [tex]\overline {BC}[/tex] Given sides legs of triangle BCD
[tex]\overline {BA}[/tex] ≅ [tex]\overline {BA}[/tex] Reflexive property
∴ ΔDAB ≅ ΔCAB by SSS (Side-Side-Side) congruency rule
m∠BAC ≅ m∠BAD CPCTC (Congruent Parts of Congruent Triangles are Congruent)
∴ m∠BAC ≅ m∠BAD = 33° Definition of congruency
m∠BAC + m∠BAD = 33° + 33° = 66° = m∠DAC Angle addition postulate
m∠ADC = m∠ACD = (180 - m∠DAC)/2 = (180 - 66)/2 = 57° Base angles of an isosceles triangle
∴ m∠ADC = m∠ACD = 57°
m∠BDC = 35° = m∠BCD Base angles of isosceles triangle ΔBCD
m∠BCD + m∠DBC + m∠BCD = 180° Sum of the interior angles of a triangle theorem
m∠DBC = 180° - (m∠BCD + m∠BCD) = 180° - (35° + 35°) = 110°
m∠DBC = 110°
∴ m∠ABD ≅ m∠ABC CPCTC
m∠ABD = m∠ABC Definition of congruency
m∠DBC + m∠ABD + m∠ABC = 360° Sum of angles at a point
m∠DBC + m∠ABD + m∠ABD = 360°
m∠DBC + 2 × m∠ABD = 360°
110° + 2 × m∠ABD = 360°
2 × m∠ABD = 360° - 110° = 250°
2 × m∠ABD = 250°
m∠ABD = 250°/2 = 125°
m∠ABD = 125°.
The measure of angle ABD is equal to [tex]125^\circ[/tex] and this can be determined by using the properties of the triangle.
Given :
Triangles ACD and BCD are isosceles.Angle BAC has the measure of 33 degrees and angle BDC has a measure of 35 degrees.Given that side [tex]\rm AD \cong AC[/tex].
Given that side [tex]\rm BD \cong BC[/tex].
[tex]\rm BA \cong BA[/tex] according to the reflexive property.
So, according to the above statements triangle DAB is congruent to triangle CAB by the SSS postulate.
Now according to CPCTC Angle BAD is congruent to angle BAC.
[tex]\rm \angle BAD + \angle BAC = 33 + 33 = 66^\circ[/tex]
[tex]\rm \angle DAC = 66^\circ[/tex] (according to the angle addition postulate)
[tex]\rm \angle ADC = \angle ACD = \dfrac{180-\angle DAC }{2} = \dfrac{180-66}{2}=57^\circ[/tex]
[tex]\rm \angle BDC = \angle BCD = 35^\circ[/tex]
Now, according to the sum of the interior angle of the triangle theorem:
[tex]\rm \angle BCD+\angle DBC+\angle BDC = 180^\circ[/tex]
[tex]\rm \angle DBC = 180 - 35-35 = 110^\circ[/tex]
Therefore, the angle ABD and angle ABC are congruent according to the CPCTC.
Now, according to the definition of congruency angle ABD is equal to angle ABC.
Now, again according to the sum of angles at a point:
[tex]\rm \angle DBC + \angle ABD + \angle ABC = 360^\circ[/tex]
[tex]\rm \angle DBC + \angle ABD + \angle ABD = 360^\circ[/tex]
[tex]\rm \angle DBC + 2\times \angle ABD = 360^\circ[/tex]
[tex]\rm 110+2\times \angle ABD = 180^\circ[/tex]
[tex]\rm 2\times \angle ABD = 360-110[/tex]
[tex]\rm 2\times \angle ABD = 250^\circ[/tex]
[tex]\rm \angle ABD = 125^\circ[/tex]
For more information, refer to the link given below:
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What is 49/81 simplified
Answer: that is the simplest form.
Step-by-step explanation:
What is the slope of the linear function represented in
the table?
Answer:
C; 1/7
Step-by-step explanation:
In order to find slope you use the following equation:
(y2-y1)/(x2-x1)
So in this case:
(1-0)/0-(-7) = 1/7
Answer: C is the correct answer
Step-by-step explanation: I hope this helps plz tell me if its wrong so i can fix it
Which choice shown describes
A)
vertical angles
B)
congruent angles
C)
complementary angles
D)
supplementary angles
Answer: supplementary angles
Step-by-step explanation: add them both you get 180
If you have 36 pieces of candy and you give you're fried. 1/3 how many pieces did you give you're friend ♀️
Answer:
12
Step-by-step explanation:
its 12. pick 12. hey its 12
Marissa started with $200 in her savings account. She wants to deposit an additional $25 a month for one year. How much money will she have in the account after a year?
Answer:
100 dollairs
Step-by-step explanation:
do the math small brain
what is 20 x 100 + 80 -28 x90
Answer:
-440
Step-by-step explanation:
hope this helps
have a good day
Answer:
-440
Step-by-step explanation:
Divide and write your remainder as a decimal
Answer:
9807.
Step-by-step explanation:
First- you divide 9317 by 95 and you get 98.07 with a bunch of other numbers which you don´t include
Next - when you divide a number by another number and you get a decimal , move the decimal point all the way to the right counting the number of places you move the decimal too.
Last - put a decimal point in the quotient/answer space , exactly above the decimal point in the number under the division bar.
After you do all those steps, your last final answer that you will get is 9807.
What is the slope of this line?
3/4
−3/4
4
−3
Answer:
-3/4
Step-by-step explanation:
What is the value of x in the equation 3(2x + 4) = −6 ?
Answer:
x = -3
Step-by-step explanation:
3 (2x +4) = -6
2x + 4 = -2
2x = -2 -4
2x = -6
x = -3
PLS HELP QUICKLY ILL GIVE BRAINLIEST
I ONLY NEED HELP WITH QUESTION 1
Answer: 7 pies
Unit price: $3.50
Step-by-step explanation:
1. To find the unit price, you must divide the cost by the amount of pies
11 divided by 3 is 3.70
24.50 divided by 7 is 3.50
2. You now have the unit price. To find the better buy, you need to determine which price is lower.
3.50 < 3.70
3. The better buy is the 7 pies.
Jim has $150 to spend on his birthday skating party. It costs $25 to rent a party room. If it costs $10 per person to skate, how many people can attend the party? Write an equation to represent the situation.
Answer:
Step-by-step explanation:
150 - total budget (150)
25 out of total budget (150 - 25)
solve 150 - 25 for (125)
125/10 = 12.5
the 150-25 is in parentheses so using PEMDAS, it will be completed first for an answer of (125). then 125 x .10 to divide.
the equation would be - (150-25).10 (OR) (150-25)/10
(you can either choose to divide by a whole or multiply by a fraction.
Answer:
12 people
Step-by-step explanation:
25+10x=150
subtract 25 each side
10x=125
divide both sides by 10
x = 12.5
can't have half a body at a party.
hope this helps :)
What are the x-intercept and the y-intercept for this graph?
What percent did Y change by?
Answer:
25%
Step-by-step explanation:
y is 75% of what x was
Which statements are true? Select all that apply.
The Ferris wheel is located at
The bumper cars are located at
1
Tom
The merry-go-lohd is located at
0
The point
1 is the location of the slide.
11
The point
is the location of the roller
coaster
Answer:
1 3 and 5
Step-by-step explanation:
Hope this helps
Answer:
1 3
Step-by-step explanation:
Item 4 A supplier sells 214 pounds of mulch for every 113 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell? The supplier sells pounds of mulch and pounds of gravel. Item 4 A supplier sells 214 pounds of mulch for every 113 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell? The supplier sells pounds of mulch and pounds of gravel.
Answer:
4 pounds of each item
Step-by-step explanation:
A supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell? (Ratios and Rates)
Mulch = 2 1/4 pounds
= 9/4 Pounds
Gravel = 1 1/3 pounds
4/3 pounds
Total items sold = 172
Let x = pounds of each item the supplier sells
Mulch : gravel
9/4 : 4/3
Change into whole number by multiplying by 12
(9/4)12 : (4/3)12
= 108/4 : 48/3
= 27 : 16
Mulch : gravel = 27 : 16
27x + 16x = 172
43x = 172
Divide both sides by 43
x = 172 / 43
= 4
x = 4 pounds
Check
27x + 16x = 172
27(4) + 16(4) = 172
108 + 64 = 172
172 = 172
Therefore, the supplier sells 4 pounds of each item
ax - b = c
solve for a
Answer:
a = c /x + b /x
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
a = [tex]\frac{c + b}{x}[/tex]
Step-by-step explanation:
ax - b = c
ax (+b )=c ---> ax = c + b
(a/x) = c + b ---> a = [tex]\frac{c + b}{x}[/tex]
Multiply each binomial pair using any method and simplify it.
1. (2x+4)(x+3)
BRAINLIEST ANSWER IF CORRECT
Which function can be used to determine the area of the ripple as a function in time
please help me out on math
find the LCM of 36 45 63 and 80
36 = 2*2*3*3
45 = 5*7
63 = 3*3*7
80 = 2*2*2*2*5
Then take each unique factor (2, 3, 5, and 7) and raise each the greatest power it has in any of the input numbers (2^4, 3^2, 5^1, 7^1) and multiply them, and that is your answer.
2*2*2*2*3*3*5*7 = 5040
The ratio of boys to girls in a science class is 8:7. If there are 14 girls, how many boys are in the class?
Answer: 16
Step-by-step explanation: If the ratio is 8 boys for every 7 girls and there are 14 girls, that means there are 2x the amount of girls in the ratio. 7 -> 14. This means that there are also 2x as many boys. 8 -> 16.
PLSSS HELP 10 POINTS ANSWER MY QUESTION USE THIS LINK
https://brainly.com/question/18724978
Answer:
37/6x=37
x=6
11/2x+2/3x=37
Step-by-step explanation:
4.
30°
8 ft
7 ft
What is the area of the trapezoid to the nearest tenth?
There must be at least 9 people to form a baseball team. Write an inequality that shows the number of people needed to form the team
Answer:
x≥9
Step-by-step explanation:
x=people needed for the team
Answer:
X _>_9
Step-by-step explanation:
Use the GCF and the Distributive Property to find the sum. 66+78
Answer:
134
Step-by-step explanation:
Answer:
6(11+13)
Step-by-step explanation:I tryed it works thank you pls give me Brainliest <3 plsss
Caylen went to the Fun house and bought tickets to play games. Each ticket cost $1.50
and she bought lunch for $9. If she spent $42, how many tickets did she buy?
PLS HELP
Answer:
22
Step-by-step explanation:
42-9=33
33/1.50=22
The amount of Jen's monthly phone bill is normally distributed with a mean of $48 and a standard deviation of $6. Fill in the blanks. 95% of her phone bills are between?
Answer: About 95% of her phone bills are between $36 and $60.
Step-by-step explanation:
If population is normally distributed , then by Empirical rule about 95% of the population lies within 2 standard deviations from mean.
Given: The amount of Jen's monthly phone bill is normally distributed with a mean of $48 and a standard deviation of $6.
Then, by Empirical rule
About 95% of her phone bills are between $(48 -2(6)) and $(48 +2(6))
i.e. About 95% of her phone bills are between $36 and $60.
Hence, About 95% of her phone bills are between $36 and $60.
need the answer
asap
Answer:
3z-38
Step-by-step explanation:
Put an addition sign between the two equations and combine like terms. Write in order from highest degree to lowest (standard form). X's cancel out.
