Answer:
BD=24
Step-by-step explanation:
I assigned my unkown sides of the triangles as x and y, where x = BD and y =AD.
I used pythagoras' theorem to find expressions for the the sides of the triangles in terms of x and y.
Both expressions had the term x^2 in them, so I equated expressions of x^2
From there i rearranged to find y.
Using my value of y, I found x.
I've given you my working so I hope that helps :>
In this linear equation what is the dependent variable y=2x+4
Answer: y
Step-by-step explanation:
The value of y is dependent on the x value. The x value can be anything you choose and is therefore independent of y.
(102-38) x 14+7+162=
Answer:
=64x^14+169
Step-by-step explanation:
happy to help ya :)
16. During a discount salle, an online video game store sells all puzzle games for $6.00 and all action gernes for
$8.00. Bella plans to spend exactly $19.00 on games from this store.
Which equation represents Bella's purchasing options, where is the number of puzzle games bought and yis
the number of action games bought?
A. (6 + 8) = 404
B. 40+ 62 = 8y
C. 40 +8y=63
D. 6x + 8y = 40
How many solutions does the system of linear equations have? y=6x + 4 y = 3x - 2
Answer:
5 solutions
Step-by-step explanation:
due to mathimatical change during the slope change
The table below shows all possible outcomes of flipping a coin two times in a row, where H stands for heads and T stands for tails.
Possible
Outcome
Heads/Tails
Combination
HH
HT
2
3
TH
TT
4
Which fraction represents the probability of flipping two tails in a row?
Christi alters a skirt. She cuts 7 inches off the bottom of the skirt and then adds a 5-inch ruffle to the skirt's remaining bottom edge. Which expression best represents the final length of the skirt?
Answer: ( x -2 ) inches
Step-by-step explanation:
Let x = length of skirt.
Given: Christi first cuts 7 inches off the bottom of the skirt and then adds a 5-inch ruffle to the skirt's remaining bottom edge.
Cutting of length will be represented by a negative integer.
The expression best represents the final length of the skirt = x-7+5 inches
= x -2 inches
Hence, the expression best represents the final length of the skirt = ( x -2 ) inches
Aaron went shopping for a new camera because of a sale. The store was offering a 10% discount. If the price on the tag was $27, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answer:
24.30
Step-by-step explanation:
10/100=.1
27×.1= 2.70
27-2.70=24.30
Find the value of x.
.
10
7
Answer:
X = 12.21
Step-by-step explanation:
Since this is a right triangle, use the formula A^2 + B^2 = C^2 and plug in appropriate values.
(10)^2 + (7)^2 = C^2
100 + 49 = C^2
149 = C^2
12.2065 = C
Rounded to two decimal places, this makes X equal to 12.21.
The required value of x is 12.21 for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Since this is a right triangle, use the formula A² + B² = C² and substitute appropriate values.
(10)² + (7)² = x²
100 + 49 = x²
149 = x²
x = √149
x = 12.2066
Rounded to two decimal places,
x = 12.21
Therefore, the required value of x is 12.21.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ2
Solve the system of linear equations below, using substitution method.
8x+9y=368x+9y=36
3x+4y=163x+4y=16
Given:
The system of equations is
[tex]8x+9y=36[/tex]
[tex]3x+4y=16[/tex]
To find:
The solution of the given system of equations using the substituting method.
Solution:
We have,
[tex]8x+9y=36[/tex] ...(i)
[tex]3x+4y=16[/tex] ...(ii)
From (ii), we get
[tex]3x=16-4y[/tex]
[tex]x=\dfrac{16-4y}{3}[/tex] ...(iii)
Putting this value in (i), we get
[tex]8\left(\dfrac{16-4y}{3}\right)+9y=36[/tex]
Multiply both sides by 3.
[tex]8(16-4y)+27y=108[/tex]
[tex]128-32y+27y=108[/tex]
[tex]-5y=108-128[/tex]
[tex]y=\dfrac{-20}{-5}[/tex]
[tex]y=4[/tex]
Putting y=4 in (iii), we get
[tex]x=\dfrac{16-4(4)}{3}[/tex]
[tex]x=\dfrac{16-16}{3}[/tex]
[tex]x=\dfrac{0}{3}[/tex]
[tex]x=0[/tex]
Therefore, the solution of given system of equations is (0,0).
Write 0.00658 standard form
I can’t figure this out! I don’t really know if I’m supposed to use the vertices that are on the coordinate plane or something else, I need help. My question is, What’s the area and the perimeter of the polygon????
Answer:
Area : 27
Perimeter : 24
Step-by-step explanation:
Area : Just count the number of squares in the box
Perimeters : Count the number of squares surrounding the box
Khan academy anyone can help me plz on this
Expand using the distributive property -2(2 + 3x)
Answer:
-4-6x
Step-by-step explanation:
Distribute the -2
Answer:
-6x-4
Step-by-step explanation:
The value of the square root of 12 is between which two integers? let me know asap
Answer:
The answer to this question is 3 and 4.
Match each of the equations with their corresponding graph
Answer:
Equation A) y = [tex]x^{3} + 2x^{2} - 1[/tex] is Graph E
Equation B) y = [tex]2x^{2} - x -3[/tex] is Graph A
Equation C) y = [tex]\frac{1}{x} +1[/tex] is Graph B
Equation D) y = [tex]2-3x^{2} -x^{3}[/tex] is Graph D
5 in
12 in
Solve for x.
Right triangle
Answer:
That kind of depends what x is...the theta angle? the hypotenuse? the base?
But i'll solve it for the missing value of the hypotenuse
5^2 +{ 12^2=c^2
169=c2
c=169 root
c=13 inches
You can use the formula is A = b.h to find the area of every triangle.
A
True
B
False
Answer:
False.
Step-by-step explanation:
The area = 1/2.b.h.
Quadrilateral ABCD is a rectangle. BD = 6x - 14 and AC = 8x - 20. What is BD?
3
2
4
6
Answer:
4
Step-by-step explanation:
The diagonals are equal length:
[tex]6x - 14 = 8x - 20\\-2x = -6\\x = 3[/tex]
[tex]BD = 6x - 14\\BD = 6 * 3 - 14\\BD = 18 - 14\\BD = 4[/tex]
The length of diagonal BD in rectangle ABCD is 4 units.
RectangleA rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal to each other. All the angles of a rectangle measure 90 degrees.
The diagonals of a rectangle are equal to each other.
AC = BD (diagonals of rectangle are equal)
6x - 14 = 8x - 20
2x = 6
x = 3
BD = 6(3) - 14 = 4 units
The length of diagonal BD in rectangle ABCD is 4 units.
Find out more on Rectangle at: https://brainly.com/question/25292087
Chocolate Cravings sells 6 chocolate covered pretzels for $1.80 and 5 chocolate covered strawberries for $6.00. At this rate, what is the total cost of buying 2 pretzels and 2 strawberries? WHO EVER ANSWERS THIS FIRST WILL GET 45 POINTS AND WILL BE RATED BRAINIEST
Answer:
60 for chocolate pretzels and 1.50 for strawberry for the total cost will be 2.10$
Step-by-step explanation:
Answer:
the total would be 1.50
Step-by-step explanation:
Which of these values could be the slope of the line?
Select two options.
-2
-8/5
0
7/4
3
Answer:
7/4 and 3
Step-by-step explanation:
How many terms are in 80.6-3p-q
Answer:
there is 2 terms
Step-by-step explanation:
Answer:
3 terms
Step-by-step explanation
In order to determine the number of terms, count the addition or subtraction signs, then add one. Here, we have two "term separators" and we also have the first term. Therefore, there are three terms.
When liquid silver nitrate and liquid sodium chloride are combined, solid silver chloride forms along with a new liquid, sodium nitrate. Which substance represents the precipitate?
Answer:
sodium chloride
Step-by-step explanation:
It is the chemical element (symbol Na) with an atomic number of 11 and atomic weight of 22.98977. It is a soft, waxy, silvery, reactive alkali metal that is never found unbound in nature.
Can someone pls answer both answers? Thank you so much :3
Answer:
1.40
2.51
welp that's all
1.
In a zoo, there were 36 exhibits, but k exhibits were closed. Write the expression
for the number of ethibits that were open.
Answer:
x= 36 - k
Step-by-step explanation:
let X stand for the amount of exhibits open
36 is the total number of exhibits
K is the amount of exhibits closed
you would subtract k from 36 to find out how many exhibits are open
Answer:
x=-36k
Step-by-step explanation:
- 4 x + 9 = 21 x=___ help
Answer:
[tex] - 4x + 9 = 21 \\ - 4x = 21 - 9 \\ = 12 \\ x = \frac{12}{ - 4} \\ x = - 3[/tex]
Need Help! Solve for x
Answer:
x=19
Step-by-step explanation:
[tex]\frac{30}{x+5+30} =\frac{20}{36}[/tex]
700+20x=1080
20x=380
x=19
Find the values of x and y
Can someone help?
Answer:
y=70
x=55
Step-by-step explanation:
In an equilateral triangle, all the angles measure 60 degrees. Knowing this, we can set the following equations:
[tex]60=y-10\\60=x+5[/tex]
[tex]60=y-10[/tex]
Add 10 to both sides
[tex]60+10=y-10+10\\70=y[/tex]
[tex]60=x+5[/tex]
Subtract both sides by 5
[tex]60-5=x+5-5\\55=x[/tex]
I hope this helps!
Answer:
x is 55° & y is 70°.
Step-by-step explanation:
This is an equilateral triangle.
In an equilateral triangle all sides are 60°
So,
1) x+5 = 60
x = 55°.
2) y-10 = 60
y = 70°.
Answer: x is 55° & y is 70°.
Un objeto tiene una masa de 0.044Lb cuando se sumerge en una probeta que inicialmente contiene 0.350L de agua, el nivel de agua se eleva a 0.485L. ¿Cuál es la densidad (g/mL) del objeto?
Answer:
147.84 g/L
Step-by-step explanation:
Paso 1
El volumen del objeto se calcula como:
0.485L - 0.350L
= 0.135 litros
Paso 2
Convertimos la masa del objeto de libras a gramos
1 libra = 453.592 gramos
0.044 libras (lb) = x
Cruz multiplicar
x = 0.044 × 453.592 gramos
x = 19.958064 gramos
Paso 3
Densidad del objeto
= Masa (gramos) / Volumen (L)
= 19.958064 gramos / 0.135L
= 147.837511111 g / L
Aproximadamente = 147.84 g / L
Por lo tanto, la densidad (g / mL) del objeto es 147.84 g / L
Find m<YQR pls need grade gud.
Answer:
21°
Step-by-step explanation:
We can prove these two triangles congruent by the HL (Hypotenuse-Leg) theorem. Then, we know that m<YQR is congruent to m<PQY. We can then use their given values to form an equation.
5x+6=16x-27
Continue to solve . . .
33 = 11x
x=3
Therefore, we can plug this value of 3 into the expression for the value of m<YQR, and you will get
(16 x 3) - 27, which is equal to 21°.
find the sum of all numbers from 150 to 200 which are divisible by7
Step-by-step explanation:
The sum is 1225
Solution :
The numbers from 150 to 200 divisible by 7 are 154,161 ,168,…., 196
Here, a=154,d=7a=154,d=7 and tn=196tn=196
tn=a+(n−1)dtn=a+(n-1)d …(Formula )
∴196=154+(n−1)×7∴196=154+(n-1)×7 …(Substituting the values )
∴196−154=(n−1)×7∴196-154=(n-1)×7
∴427=n−1∴427=n-1 ∴n−1=6∴n-1=6 ∴n=7∴n=7
Now, we find the sum of 7 numbers.
Sn=n2[t1+tn]Sn=n2[t1+tn] ...(Formula )
=72[154+196)=72[154+196)
=72×350=72×350
=7×175=7×175
=1225