Answer:
x=87/8
Step-by-step explanation:
2/3x=8-3/4
2/3x=32/4-3/4
2/3x=29/4
x=29/4*3/2
x=87/8
Given kite ABCD with AD=AB, AO=3, and BD=8. Find AD.
This is to find the missing side with Vertex angles of Kite ∠A and ∠C, non-vertex angles are ∠D & ∠B, Main Diagonal bisects ∠A and ∠C and cross diagonal bisects ∠D and ∠B. Please help me find side AD
Answer:
AD = 5
Step-by-step explanation:
Given:
A kite ABCD with following dimensions:
AD = AB
AO = 3 and
BD = 8
To find:
AD = ?
Solution:
Kindly refer to the attached image for the figure of given dimensions.
In a kite, the following properties hold true:
1. The diagonals of a kite are perpendicular to each other.
2. The longer diagonal(along the vertex angles) bisects the shorter one.
Using above properties:
Looking at the [tex]\triangle AOD:[/tex]
[tex]\angle AOD=90^\circ[/tex]
AO = 3
OD = 4
We know that, Pythagoras theorem hold true in every right angled triangle.
According to Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]
[tex]AD^{2} = 4^{2} + 3^{2}\\\Rightarrow AD = \bold{5}[/tex]
The value of AD should be 5.
Calculation of the value of AD:Since kite ABCD with AD=AB, AO=3, and BD=8
Here angle AOD = 90 degrees
And, AO = 3 and OD = 4
So, here we use the Pythagorean theorem
[tex]= \sqrt 3^2 + 4^2\\\\= \sqrt{9 + 16} \\\\ = \sqrt{25}[/tex]
= 5
Hence, The value of AD should be 5.
Learn more about angle here: https://brainly.com/question/21103473
select all expressions equivalent
Are the given
equations parallel,
perpendicular, or
neither?
y = 3x + 5
y = 3x - 7
Answer:
parallel
Step-by-step explanation:
They have the same slope, just different y-intercepts. The two lines never cross, making them parallel.
The distance between two asteroids was calculated at 37,500,000,000 kilometers. What is this value expressed in scientific notation?
Simplify: (1/3 - 2b)27
......................................
Answer:
9 -54b ________________
multiply (3-6i)^2 write in standard form
-27-36i .................................................................... not sure
The result of (3 - 6i)² will be -27 -36i .
Given,
(3 - 6i)²
Now,
The multiplication is of complex number .
So,
(3-6i)(3 - 6i)
So,
Multiply the terms ,
9 - 18i - 18i -36
Simplifying further,
-27 - 36i
Thus the resultant will be -27 -36i .
Know more about complex numbers,
https://brainly.com/question/30612470
#SPJ6
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.
y= 1/3 x− 2/3
Answer:
y-intercept = (0,-2/3)
x-intercept = (2,0)
Step-by-step explanation:
*X-intercept touches the x-axis & y-intercept touches the y-axis*
You can identify the y-intercept by looking at the equation.
The slope is 1/3x and the y-intercept is -2/3.
I'm not sure how to solve for the x-intercept, but you can make a graph with the y-intercept and the slope points. By doing this you should be able to find the x-intercept.
Hope this helped!!! :)
PS: Check out the Desmos Graphing Calculator
This website helps a lot with these types of problems. You can type the equation, and it will show you a graph. If you look at the graph, you'll be able to determine the slope, the x-intercept, and the y-intercept.
You bike 16.2 miles in 1.8 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you travel?
Answer:
9x
Step-by-step explanation:
You have to subtract both of the numbers and simplify it.
5)A chef has 3 1/16
pounds of flour in his kitchen. He buys
another 6 1/2
pounds of flour. How much flour does he
have in all?
Answer:
9 9/16
Step-by-step explanation:
The first step is to find the LCD of 16 and 2
It is 16, and you can multiply the 6 1/2 by 8 which equals 6 8/16
Then you add
3 1/16 + 6 8/16 is equal to 9 9/16, which is your answer.
Hope this helped
Sorry if it's wrong
:)
Answer:
the chef has 9 9/16 pounds of flour
Solve the system of equations by substitution. x + y = 27 y = 8x
Answer: x = 0, y = 0
Step-by-step explanation:
x + y = 27y = 8x
Consider the first equation. Subtract 27y from both sides.
x + y = -27y = 0
Combine y and -27y to get -26y
x - 26x = 0
Consider the second equation. Subtract 8x from both sides.
27y - 8x = 0
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for the variable in the other equation.
x - 26y = 0, -8x + 27y = 0
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
x - 26y = 0
Add 26y to both sides of the equation.
x = 26y
Substitute 26y for x in the order equation,
-8x + 27y = 0.
-8 x 26y + 27y = 0
Multiply -8 times 26y
-208y + 27y = 0
Add -208y to 27y
-181y = 0
Divide both sides by -181.
y = 0
Substitute 0 for y in x = 26y. Because the resulting equation contains only one variable, you can solve for x directly.
x = 0
Without working out the multiplication, which product is larger, why? 3 × 1/5 or 3 × 1/10
Answer:
The product that will be larger is 3x1/5
Step-by-step explanation:
So in order to know this we have to look at the fractions. We already know that 1/5 is larger than 1/10. To double check our work, we can convert these fractions into percents. 1/5 being 20% and 1/10 being 10%. So now that we have prooved 1/5 is larger, multiplying the larger fraction by three will give us a larger product.
Hope this helped ;)
A store owner wants to develop a new snack mix by mixing banana chips and raisins. How many pounds of banana chips costing $7.70 per pound should be mixed with 18 pounds of raisins costing $4.30 per pound to create a mixture worth $5.73 per pound?
the area of a trapezium is given by the formula A=1/2h(a+b), where h is the height and a and b are the measures of the two bases. what is the height of a trapezoid with an area of 24 square inches if the two bases measure 4 inches and 6 inches?
Answer:
[tex] h = 4.8 \: inches.[/tex]
Step-by-step explanation:
[tex]A= \frac{1}{2} h(a+b) \\ h(a + b) = 2A \\ h = \frac{2A}{(a+b)} = \frac{2 \times24 }{4 + 6} \\ h = \frac{48}{10} \\ h = 4.8 \: inches.[/tex]
Answer:
h=4.8
Given:
area=24 , a=4 , b=6
To find:
height
Step-by-step explanation:
A = [tex]\frac{1}{2}[/tex] × h(a+b)
24 = [tex]\frac{1}{2}[/tex] × h(4+6)
24 × 2 = h(10)
48 = 10h
48/10 = h
h=24/5
h=4.8
therefore, height of the trapezium is 4.8
hope it helps you!
Which is better to buy 4.20 for 6 cans or 8.00 for 10 cans
Answer:
4.20 for 6 cans is better
Step-by-step explanation:
4.20 / 6 = 0.70 per can
8.00 / 10 = 0.80 per can
0.70 per can is cheaper/less expensive than 0.80 per can.
Solve for 50 points and brainliest!
10-3-7+18=
6-3-2+13=
Answer:
10-3=7
7-7=0
0+18=18
6-3=3
3-2=1
1+13=14
Step-by-step explanation:
Answer:1. 18
2. 14
Step-by-step explanation:
Given the ordered pairs find the value of r that makes the slope equal to the given value (3 , r) and (7 , 2) m= 1/4
Possibles answers
A) r= -1
B) r= 2
C) r=1
D) r =3
E) r=0
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula, then equate to [tex]\frac{1}{4}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, r) and (x₂, y₂ ) = (7, 2)
m = [tex]\frac{2-r}{7-3}[/tex] = [tex]\frac{2-r}{4}[/tex] , then
[tex]\frac{2-r}{4}[/tex] = [tex]\frac{1}{4}[/tex] ( since denominators are both 4, equate the numerators )
2 - r = 1 ( subtract 2 from both sides )
- r = - 1 ( multiply both sides by - 1 )
r = 1 → C
Evaluate 2a+7b if a = 5 and b = 3
Answer:
31
Step-by-step explanation:
2(5) + 7(3) =31
2x5 = 10
7x3 = 21
10+21 = 31
Answer:
The answer is 31
Step-by-step explanation:
Plug the numbers for the variables into the equation.
2×5+7×3
Multiply
10+21
Add
10+21 = 31
what is the 9th term in the sequence -1, 4, -9, 16, -25,...?
Answer:
-81
Step-by-step explanation:
looks like they're doing perfect squares inversed..
so it'd go from -1,4,-9,16,-25,36,-49,64,-81
Evaluate the
10 Plus 54/-6
Answer: 0.6 repeating
Step-by-step explanation:
Answer:
obj
Step-by-step explanation:
obj basically means that like
o: onul AM scared
b: bat
j: jaywalk
this is an exampe of J in the obj becauase the 10 is jaywalking adding to 54!!!.W!?KL herobrine?/?? he said threat!!! what is life mean to be god? Same.
The suspect was spotted riding the swings earlier in the day. Each swing can hold a maximum weight of 500 pounds. In order to reach the maximum weight, you would have to double the weight of the suspect and add 20 pounds less than the weight of George. Write and solve an equation to represent the suspect's weight.
Answer:
2y + ( x- 20)= 500
y= 520-x/2
Step-by-step explanation:
Let the weight of George be x and the weight of the suspect be y .
The swing can hold a maximum of 500 pounds .
Twice the weight of suspect added with 20 pounds less than the weight of George equals 500.
2y + ( x- 20)= 500
or
2y+x- 20 = 500
adding 20 to both sides
2y+x -20 +20= 500+ 20
or
2y +x = 520
Subtracting x from both sides
2y+ x-x = 520-x
or
2y = 520-x
Dividing by 2 on both sides
y= 520-x/2
The suspect's weight is y= 520-x/2
Answer:
s = 260 - g/2
Step-by-step explanation:
Given the following :
Maximum weight swing can hold = 500 pounds
Let suspect's weight = s
George's weight = g
To reach maximum weight :
Double weight of suspect + (George's weight - 20)
Hence, equation:
2s + (g - 20) = 500
2s + g - 20 = 500
2s + g = 500 + 20
2s + g = 520
2s = 520 - g
Divide through by 2
s = 260 - g/2
Given the following sequence: {x. 3x, 5x, 7x, 9x .... ). what will the value of
the TENTH term be?
Answer:
The tenth trem will be 21x considering 3x as one 1 + 10x2=21
Which relation represents a function?
StartSet (0, 0), (2, 3), (2, 5), (6, 6) EndSet
StartSet (3, 5), (8, 4), (10, 11), (10, 6) EndSet
StartSet (negative 2, 2), (0, 2), (7, 2), (11, 2) EndSet
StartSet (13, 2), (13, 3), (13, 4), (13, 5) EndSet
A
B
C
D
Here we don't have any repeated x values.
In choice A, x = 2 repeats. In other words, x = 2 leads to multiple y outputs. So this is not a function. Choices B and D are similar stories. A function is only possible if every x leads to exactly one y value only. The graph must pass the vertical line test.
Side note: the y values can repeat, but the function won't be one-to-one.
Alecia placed the numbers 0, 2, 14, -8, and -11 on the number line. Which of the numbers is furthest from zero?
Answer:
14
Step-by-step explanation:
Find all whole values for y for which the double inequality is true: -5
Answer:
The values of y for which the inequality is true are;
-4,-3,-2,-1,1,0,1
Step-by-step explanation:
Here, we want to give all the values of y for which the given inequality is true
We have the inequality as;
-5 < y < 2
This can be read as -5 is less than 5 which is less than 2
This means that the correct y-values lie between -5 and 2 which are not inclusive
So the correct values of y in this case are;
-4,-3, -2, -1 , 0, 1
What is the slope of the line? (Picture)
Evaluate 0.1m + 8- 12n when m=30 and n = 1/4 answer
Answer:
8
Step-by-step explanation:
Original equation:
0.1m + 8 - 12n
Plug in the values of m and n
0.1(30) + 8 - 12(0.25)
Multiply.
0.1 x 30 = 3
3 + 8 - 12(0.25)
Multiply.
-12 x 0.25 = -3
3 + 8 - 3
Add.
3 + 8 = 11
11 - 3
Subtract.
11 - 3 = 8
Hope I helped :)
Please consider Brainliest :)
i need help with this asap!homework is due tomorrow.
Answer:
If triangle ABC is a right angled triangle,right angled at C
AB²=AC² + BC²
Pls mark me brainliest
Step-by-step explanation:
Kiaya has to have at least $100 in her checking account to avoid a fee from the bank. She has $376 in her account now. Each week, she makes a $25 withdrawal. For how many weeks can she make this withdrawal and avoid a fee?
Answer:
11 weeks
Step-by-step explanation:
Kiaya has $376 but can only withdraw $276 before being charged by the bank.
First I subtracted the $100 she can't spend from $376.
-She has a total of $276 she can spend without being charged.
Next, I divided $276 by $25 (the amount she withdraws every week)
- The total is 11.04
This means she has 11 Weeks before she will have to pay the fee.
Hope I helped you out!! :)
Find the quotient of 1 1/5 and 3 4/5
Answer:
0.2 and 0.8
Step-by-step explanation:
1+1+2+3+4+5+6+7+8+9=?
Answer:
The answer is 46
Step-by-step explanation:
Self explanatory i just added them together
hope i helped :D