Answer:
To find : If 21m, 28m and 49m form a right angle or not.
Logic : To find if this triangle is a right angle, we can use the Pythagoras Theorem, which states that the square if the longest side should be equal to the square of the sum of the other two sides.
The name of the longest side is called the hypotenuse, while the others are called legs or one is the perpendicular and the other the base.
Proof : [tex]h^{2} = p^{2} + b^{2}[/tex]
=> [tex]49^{2} = 28^{2} + 21^{2}[/tex]
=> 2401 = 784 + 441
=> 2401 ≠ 1225
Therefore these side lengths cannot be the lengths of a right angled triangle.
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can someone help me to solve this question?
Answer:
The values of x and y are x = 95 and y = 25
Step-by-step explanation:
If a quadrilateral is inscribed in a circle which means all its vertices lie on the circumference of the circle, then it is called a cyclic quadrilateral.
The properties of the cyclic quadrilateral
Every two opposite angles are supplementary (the sum of their measures is 180°)The measure of an exterior angle at one vertex equals the measure of the interior opposite angle to this vertexIn the given figure
∵ The four vertices of the quadrilateral QRTU lie on the circle
∴ QRTU is a cyclic quadrilateral
∵ ∠ PQU is an exterior angle of quadrilateral QRTU at Q
∵ ∠RTU is the opposite interior angle to it
→ By using the 2nd property above
∴ m∠PQU = m∠RTU
∵ m∠PQU = 95°
∵ m∠RTU = x°
∴ x = 95
∵ ∠QRT and ∠QUT are opposite angles in the cyclic quadrilateral
→ By using the 1st property above
∴ m∠QRT + m∠QUT = 180° ⇒ supplementary angles
∵ m∠QRT = 110°
∴ 110 + m∠QUT = 180°
→ Subtract 110 from both sides
∴ m∠QUT = 70°
In ΔSQU
∵ ∠ PQU is an exterior angle to the Δ T vertex Q
→ That means its measure equal the sum of the measures of the
two opposite interior angles QSU and QUS
∴ m∠PQU = m∠QSU + m∠QUS
∵ m∠PQU = 95°
∵ m∠QSU = y°
∵ m∠QUS = 70°
∴ 95 = y + 70
→ Subtract 70 from both sides
∴ 25 = y
∴ y = 25
The simpledt form of the decimal is 0.84 as a fraction is?
write a quadratic formula or expression for this:
The product of a certain whole number and four more than that number is 140, write a quadratic expression / formula and find the number.
Answer:
number is 10
Step-by-step explanation:
let n be the number, then 4 more than the number is n + 4, thus
n(n + 4) = 140 , that is
n² + 4n = 140 ( subtract 140 from both sides )
n² + 4n - 140 = 0
Consider the factors of the constant term (- 140) which sum to give the coefficient of the n- term (+ 4)
The factors are + 14 and - 10 , since
14 × - 10 = - 140 and 14 - 10 = + 4 , thus
(n + 14)(n - 10) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 14 = 0 ⇒ n = - 14
n - 10 = 0 ⇒ n = 10
Since n is a whole number the the required number is 10
For a field trip 5 students rode in cars and
the rest filled three buses. How many
students were in each bus if 107 students
were on the trip?
Answer: 52 students were in the bus.
Step-by-step explanation: First, you start with the equation:
9x+4=472
Since four students rode in cars, you want to eliminate this part of the problem to find how many students actually rode in the buses.
So you would subtract 4 from both sides and get: 9x=468
Finally, you would divide both sides by 9 and get 52 students on each bus
simplify 3/6 over 4 pleaseeeeeeee
Answer:
Answer:
Use Mixed Numbers 3/6 ÷ 4
This is the same as division with fractions.
Step-by-step explanation:
Answer:
Step-by-step explanation:
1
-
8
MULTIPLE CHOICE
Souvenir hats, t-shirts, and jackets are sold at a rock concert. Three hats, two t-shirts, and one jacket cost $140. Two hats, two
t-shirts, and two jackets cost $170. One hat, three t-shirts, and two jackets cost $180. Find the prices of the induvial items.
Answer:
Hats cost $15, T-Shirts cost $25, Jackets cost $45
If this was helpful please mark brainliest, have a great day!
Mark wants to fence 4 rectangular gardens, each with a length of feet and a width of feet. What is the total length of fencing Mark needs to surround all 4 gardens?
Answer:i need more explaining
Step-by-step explanation:
1. The slope is 1/2 if I’m wrong please correct me!!
2. What’s the y-intercept B? MARKING BRAINLIEST
⚠️⚠️⚠️⚠️⚠️⚠️
5^3 and that evaluated is 125
Step-by-step explanation:
slope is
[tex] \frac{1}{2} \\ [/tex]
equation of that line is
[tex]y = \frac{1}{2} x + 5 \\ [/tex]
and y intercepts that line at point (0,5). x=0 and y=5
Can someone help me
m < 1 = 130°
m < 1 = 130°m < 2 = 50°
We know this is a linear pair, therefore the two angles must add up to 180°
[tex](m < 1 )+ (m < 2 )= 180[/tex]
[tex]5x + x + 24 = 180[/tex]
Combine like terms
[tex]6x + 24 = 180[/tex]
Isolate the variable
[tex]6x = 156[/tex]
[tex]x = 26[/tex]
Plug in 26 for x in both of the individual angle equations.
[tex]m < 1 = 5x[/tex]
[tex] = 5(26)[/tex]
[tex] = 130[/tex]
[tex]m < 2 = x - 24[/tex]
[tex] = (26) + 24[/tex]
[tex] = 50[/tex]
A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.
I hope this helped. Let me know if you have any questions!
pllllsss answer for 30points and brainliest!!!!
(b) About how many times larger was the population of the United States than the population of Columbus, Ohio?
Answer:
387.6. So, the closest whole number would be 388 times larger
Step-by-step explanation:
I divided the U.S. pop by the Columbus pop and got the answer: 387.6. So, the closest whole number would be 388 times larger
Answer:
The population of the United States is 387.87 times larger than the population of Columbus, Ohio.
Step-by-step explanation:
8.25 times 100000 = 825,000
3.2 times 100000000 = 320,000,000
320,000,000 divided by 825,000 = 387.87
(7 x 1) + (4 x 1/10) + (6 x 1/1,000) in standard form
Answer:
1.1161×10¹
Step-by-step explanation:
Draw the image of triangle △ABC under a dilation whose center is P and scale factor is 1/3.
Answer:
Here you gooooo
Step-by-step explanation:
Answer:
khan
Step-by-step explanation:
BRAINLIEST ANSWER!! ASAP!
Answer:
w=36
Step-by-step explanation:
to get the perimeter you add all sides.
w+w+2w+6+2w+6=228
6w+12=228
6w=216
w=36
length= 2(36) +6
length= 78
width= 36
If it's wrong, I apologize honestly! Answer: 91
Step-by-step explanation:
2w+6= 2(?)+6
If the perimeter is 288, then we have to find what's the closest to it. So let's try 91. 2 ×91= 182 , so it's going to be 182 +6, which equals 188. Remember if the w is 100 the w in the width is going to be 100 also, so 188 + 100= 288 glad I could help!
900.06=_____ sig fig
Help?
Answer:
Lets in say 900.06 ____ the blank is represented as x:
x = 50
x = 45003
x = 900.060
Hope this helps! Please mark Brainliest!
Write the equation of a line that is perpendicular to y = 7/5x + 6 and that passes through the point (2,-6).
Answer:
y = -5/7x - 32/7
Step-by-step explanation:
Perpendicular slopes are "opposite reciprocals."
7/5 goes to 5/7, then -5/7 (if you don't get it you can comment)
So the perpendicular equation line: y = -5/7x + b (you don't know the y-intercept yet)
Substitute (2, -6) because that perpendicular line is going through it.
-6 = -5/7(2) + b
-6 = -10/7 + b
-42/7 = -10/7 + b
-32/7 = b
Perpendicular line equation: -5/7x -32/7
Is this a function (3,1), (3,2), (4,5)?
Answer:
No
Step-by-step explanation:
If the x value does not repeat than it's a funtction so therefore so therefore it t's not a function cause the variable of repeats
Foster is centering a photo that is 1 1/2 inches wide on a scrapbook page that is 16 inches wide. How far from each side of the page should he put the picture? Enter your answer as a mixed number.
A conjecture and the flowchart proof used to prove the conjecture are shown.
Given: A B C D is a parallelogram. Prove: Angle 1 is supplementary to angle 3. Art: Parallelogram A B C D. Ray D B is drawn and is extended past vertex B. The ray forms an interior angles A D B and D B C and an exterior angle labeled as 3, adjacent to angle D B C. Angle A D B is labeled as 1, and angle D B C is labeled as 2.
Drag an expression or phrase to each box to complete the proof.
Answer:
1. Definition of parallelogram
Step-by-step explanation:
1. Definition of parallelogram
2. Angle Congruence Postulate
3. m<2 + m<3 =180
4. m<1 + m<3 =180
5. Definition of supplementary
∠1 is supplementary to ∠3 by the Definition of supplementary angles
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
Prove: Angle 1 is supplementary to angle 3.
Given information as; ABCD is a parallelogram.
Proof:
∠1 = ∠ADB
∠2 = ∠DBC
∠3 = the exterior angle adjacent to angle D B C.
Statement Reason
∠2 is supplementary to ∠3 Linear pairs
m∠2+m∠3=180° Definition of supplementary angles
m<1 + m<3 = 180 Alternative interior angles
m∠1+m∠3=180° Substitute property of equality
∠1 is supplementary to ∠3 Definition of supplementary angles
Therefore, we can conclude that ∠1 is supplementary to ∠3 by the Definition of supplementary angles.
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the point (x,y) lies on the line y=x+2. the distance from p(1,0) to (x,y) is represented by d. write d as an expression in terms of x.
Answer:
Step-by-step explanation:
girl im confused too:/
Which whole number property is represented?
10+ 0 = 10
Answer:
10
Step-by-step explanation:
what is the vertical shrink by a factor or 1/6
Answer:
.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. • if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.
The school's Environmental Science Club has $500 of funds. Each time they go on a field trip, it costs
them $80. Write an algebraic expression that represents the money the club has after going on field
trips. Use the Math equation tool va to answer the question.
Given:
Total fund = $500
cost of each trip = $80
To find:
The an algebraic expression that represents the money the club has after going on field trips.
Solution:
Let x be the number of field trips.
Cost of 1 field trip = $80
Cost of x field trip = $80x
We have, Total fund = $500.
So, the money the club has after going on field trips is
[tex]\text{Remaining money}=500-80x[/tex]
Therefore, the money the club has after going on field trips is $(500-80x).
Which of these measures could not be the lengths of the sides of a right
triangle?
A. 4, 10,16
B. 5, 12, 13
C. 7, 24, 25
D. 8, 15, 17
Answer:
A
Step-by-step explanation:
I NEED HELP!!!!!!!!!!!!!!!!!!!4/7X+ 5/14X= 39
The solution is _____
Answer:
x=42
Your welcome!
Answer:
x=42
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4/7*x+5/14*x-(39)=0
Simplify 5/14
((4/7• x) + (5/14 • x)) - 39 = 0
Simplify 4/7
4 5x
((— • x) + ——) - 39 = 0
7 14
Find the Least Common Multiple
The left denominator is : 7
The right denominator is : 14
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
7 1 1 1
2 0 1 1
Product of all
Prime Factors 7 14 14
Least Common Multiple:
14
Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 2
Right_M = L.C.M / R_Deno = 1
Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 4x • 2
—————————————————— = ——————
L.C.M 14
R. Mult. • R. Num. 5x
—————————————————— = ——
L.C.M 14
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4x • 2 + 5x 13x
——————————— = ———
14 14
13x
——— - 39 = 0
14
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 14 as the denominator :
39 39 • 14
39 = —— = ———————
1 14
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
13x - (39 • 14) 13x - 546
——————————————— = —————————
14 14
Pull out like factors :
13x - 546 = 13 • (x - 42)
13 • (x - 42)
————————————— = 0
14
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
13•(x-42)
————————— • 14 = 0 • 14
14
Now, on the left hand side, the 14 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
13 • (x-42) = 0
Solve : 13 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : x-42 = 0
Add 42 to both sides of the equation :
x = 42
Please Give me Brainliest
hey yall uh please help me i need this done asap! i'll give the brainliest thingamabob to whoever answers me :))
A salesman's salary is $9 per hour plus $250 in sales commission. His total weekly pay this week was $565. How many hours did the salesman work this week? Write an equation to model and solve the problem. Explain the answer in terms of the problem. Show all work.
muah
Answer:
565+9x=250.......
Step-by-step explanation:
um i think this might be it
Answer:
he worked 35 hours
equation: p= $9x + 250
p is pay
x is hours worked
Step-by-step explanation:
we know that the pay was 565 so plug that into p: 565= 9x + 250
subtract 250 from both side to isolate the variable: 315= 9x
divide both sides by 9: x= 35
share 50 marbles in the ratio 2:3 between Alex and joshua.How many marbles does each boy receive?
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
Answer:
9.72 seconds
Step-by-step explanation:
9.72 seconds ( approx )
Step-by-step explanation:
Since, the equation that shows the height of the rocket from the ground,
Where,
x = time after launch, in seconds,
When the rocket hits the ground,
y = 0,
i.e.
By the quadratic formula,
∵ Time can not be negative,
So, the time taken to hit the ground = 9.716 seconds ≈ 9.72 seconds.
The time at which the rocket will hit the ground to the nearest hundredth of seconds is 15 seconds.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
As per the given height of tower y in terms of time is seconds x
y = -16x² + 240x + 115
The height of the tower when the rocket hit the ground will be zero.
Thus, y = 0
0 = -16x² + 240x + 115
16x² - 240x - 115=0
By quadratic equation formula,
x = [-(-240) ± √((-240)²+4×16×(-115))]/ 2×16
x = [240 ± 254.8725]/32
x = 15.46 and x = -0.46 since time can be never negative thus 15.46 seconds will be correct.
15.46 to the nearest hundred is 15.
Hence "The time at which the rocket will hit the ground to the nearest hundredth of seconds is 15 seconds".
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Use the figure to find measures of the numbered angles.
Answer:
1 = 137
2 = 43
3 = 43
4 = 137
Step-by-step explanation:
for the first line, do (180-137 = 43)
then, 43 would be corresponding angle to 2 - making them equal
2 would be vertically opposite to 3, making them equal
137 and 1 are corresponding- making them equal
4 is vertically opposite to 1 - making them equal
What is the equation of the line that passes through the point (8,-8 and has a slope of -1/4
Answer:
The answer is
[tex] \huge y = - \frac{1}{4} x - 6[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is ( 8 , - 8) and slope -1/4
We have
[tex]y + 8 = - \frac{1}{4} (x - 8) \\ y + 8 = - \frac{1}{4} x + 2 \\ y = - \frac{1}{4} x + 2 - 8[/tex]
We have the final answer as
[tex]y = - \frac{1}{4} x - 6 \\ [/tex]
Hope this helps you
if any of you know how to do this pls help :)))
Answer:
y=3/5,6
Step-by-step explanation:
Split the second term in 5{y}^{2}-33y+185y2−33y+18 into two terms.
5{y}^{2}-3y-30y+18=05y2−3y−30y+18=0
2
Factor out common terms in the first two terms, then in the last two terms.
y(5y-3)-6(5y-3)=0y(5y−3)−6(5y−3)=0
3
Factor out the common term 5y-35y−3.
(5y-3)(y-6)=0(5y−3)(y−6)=0
4

Solve for yy.
y=\frac{3}{5},6y=53,6
Answer:
y=3/5,6
Step-by-step explanation:
(5y-3)(y-6)=0
5y-3=0 y-6=0
y=3/5 y=6
Find all the values that make it true
Hope this helps! :)