Ava, Lucas, and Maria are playing a game where they pass a pull-back toy to one another in a path that forms a right triangle. Ava sends the toy to Lucas. Then, Lucas sends the toy to Maria. Finally, Maria sends it back to Ava. The angle formed at Lucas' position measures 90° and the angle formed at Ava's position measures 40°. The distance from Ava to Lucas is 12 feet.

Ava is trying to determine the other measures of the triangle created by the toy's path. Give each distance in feet rounded to the nearest tenths place.

The distance from Maria to Ava is ___ feet.

The distance from Lucas to Maria is ___ feet.

The angle formed at Maria's position measures ___ degrees.

Answer:

x=50

Step-by-step explanation:

Since Line AB and Line CD are parallel, Angle AFG is supplementary to Angle CGF. So then x+3x-20=180. Then you just solve for x.

Combine like terms-> 4x-20=180

Add 20 to both sides-> 4x=200

Divide both sides by 4-> x=50

Hope this helps!

Feel free to ask if you still don't understand something

Answer:

B. 3x+5y=11

   4x+2y=10

On Edge 2022

Hope this Helps :)

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The system of equations can be used to find the prices of the blue and green marbles are,

[tex]3x+5y=11[/tex]

[tex]4x+2y=10[/tex]

Thus the option 2 is the correct option.

What is system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Given information-

Johann bought 3 blue marbles and 5 green marbles.

The total money paid by the Johann is $11.

Marta bought 4 blue marbles and 2 green marbles.

The total money paid by the Marta is $10.

Suppose the price of the blue marbles is [tex]x[/tex] and price of the green marbles is [tex]y[/tex].

As Johann bought 3 blue marbles and 5 green marbles and paid $11. Thus,

[tex]3x+5y=11[/tex]      .....1

Let the above equation is equation number 1.

As Marta bought 4 blue marbles and 2 green marbles and paid $10. Thus,

[tex]4x+2y=10[/tex]      .....2

Let the above equation is equation number 2.

Thus the equation 1 and 2 are the required set of the equation for the given problem.

Hence the system of equations can be used to find the prices of the blue and green marbles are,

[tex]3x+5y=11[/tex]

[tex]4x+2y=10[/tex]

Thus the option 2 is the correct option.

Learn more about the system of equations  here;

https://brainly.com/question/13729904

Answer:

C. 1 in 2

Step-by-step explanation:

even numbers are 0, 2, 4, 6 etc.
the even numbers in a number cube are
2, 4, 6
so there is 3 possible results
all the numbers in the number cube are 6 numbers
so it is 3/6 times we can get an even number
by simplifying 3/6 (dividing by 3) we get 1/2

Answer:

53 secs

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

Your first step will be to find the slope of Line C. Using the slope formula of [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex], the slope of Line C is [tex]\frac{7-14}{7-1} = \frac{-7}{6}[/tex].

If Line D is perpendicular to C, that means the slope is the negative reciprocal of Line C. So, that means the slope is 6/7.

Answer:

y = root under 24 (evaluate it if necessary)

or y = 2 root 6

Step-by-step explanation:

Let the reference angle be x

for the triangle in left,

b = 6-4 = 2

Now,

taking x as refrence angle,

cosx = b/h

or, cosx = 2/h

again,

for the bigger triangle,

taking x as reference angle,

cosx = b/h

or, cosx = b/6

As we can see base of bigger triangle is equal to hypotenuse of triangle at the left,

Let's suppose its a

so, cosx = a/6 = 2/a

now,

a/6 = 2/a

or, a² = 12

now,

for bigger triangle, using pythagoras theorem,

h² = p²+b²

or, 6² = y² + a²

or, 36 = y² + 12

or, y² = 24

so, y = root under 24

Step-by-step explanation:

I didn't write language hope u get it

Answer:

x + 4y

Step-by-step explanation:

Hey there! First, we have to recall back laws of exponent.

[tex]\displaystyle \large{a^{\frac{m}{n}} = \sqrt[n]{a^m} }[/tex]

Now simplify the expressions in surds form.

[tex]\displaystyle \large{\sqrt[3]{x^2+8xy+16y^2} \cdot \sqrt[3]{x+4y} }[/tex]

From x²+8xy+16y², we can convert the expression to perfect square.

Perfect Square

[tex]\displaystyle \large{x^2+2xb+b^2 = (x+b)^2}[/tex]

Therefore, from the expression.

[tex]\displaystyle \large{x^2+8xy+16y^2 = (x+4y)^2}[/tex]

Thus:

[tex]\displaystyle \large{\sqrt[3]{(x+4y)^2} \cdot \sqrt[3]{x+4y}[/tex]

Because both have same surds, multiply them in one.

Surd Property I

[tex]\displaystyle \large{\sqrt[n]{x} \cdot \sqrt[n]{y} =\sqrt[n]{xy} }[/tex]

Therefore:

[tex]\displaystyle \large{\sqrt[3]{(x+4y)^2(x+4y)}[/tex]

Since both are like-terms and multiplying each other, we can apply one of exponent laws.

Exponent Laws II

[tex]\displaystyle \large{a^m \cdot a^n = a^{m+n}}[/tex]

Therefore, we have [tex]\displaystyle \large{\sqrt[3]{(x+4y)^{2+1} } \to \sqrt[3]{(x+4y)^3} }[/tex]

Simplify the expression, we have cube expression inside the cube root. Therefore, we simplify as x+4y as we cancel cube and cube root.

Let me know if you have any questions through comments!

[tex]\bold{x + 4y}[/tex]

Explanation :-

[tex]{(x^{2} +8xy+16y^{2})^{\frac{1}{3} } (x+4y)}^{\frac{1}{3} }[/tex]

Rewriting it into the expression of [tex]a^{2} + 2ab + {b}^{2} [/tex],

[tex]x^{2} + 2x \times 4y + (4y)^{2})^{\frac{1}{3} }(x + 4y)^{ \frac{1}{3} }[/tex]

[tex] = > ((x + 4y)^{2})^{ \frac{1}{3} }(x + 4y)^{ \frac{1}{3} }[/tex]

Now multiplying the fractions as,

[tex] = > ((x + 4y))^{ \frac{2}{3} }(x + 4y)^{ \frac{1}{3} }[/tex]

Now as the bases of the fractions are same, we can multiply directly,

[tex] = > (x + 4y)^{ \frac{2}{3} + \frac{1}{3} }[/tex]

[tex] = > (x + 4y)^{ \frac{3}{3} }[/tex]

As when same numerator and denominator of a fraction is 1, so,

[tex] = > (x + 4y)^1[/tex]

As 1 can be neglected (since it has no specific need in the equation), so,

[tex] = > x + 4y[/tex]

Hence, the answer is [tex]\bold{x + 4y}[/tex]

Answer:

64 beats per minute

Step-by-step explanation:

256 divided by 4

[tex]f(x)=(1-x^2)^{\frac{2}{3}}\implies \cfrac{df}{dx}=\cfrac{2}{3}(1-x^2)^{-\frac{1}{3}}\implies \cfrac{df}{dx}=\cfrac{2}{3\sqrt[3]{1-x^2}}[/tex]

when it comes to a rational expression, we can get critical points from, zeroing the derivative "and" from zeroing the denominator alone, however the denominator provides critical valid points that are either "asymptotic" or "cuspics", namely that the function is not differentiable or not a "smooth line" at such spot.

if we get the critical points from the denominator on this one, we get x = ±1, both of which are cuspics.  Check the picture below.

Answer:

C The distance around the circle is the circumference

Step-by-step explanation:

For information:

A is the diameter

B is the radius

Answer:

the answer is 9

Step-by-step explanation:

when doubled 9 is 18

18+7=25

Answer:

9

Step-by-step explanation:

9+9=18 18-9=9 9×2=18 18÷9=2 18÷2=9

Largest possible value of b is:

75

we are given that:

ab=1200

where a is an integer and b is an odd integer.

we know that product of odd numbers is always odd.

Now, 1200= 12×100

               = 2×6×10×10

              =2×2×3×2×5×2×5

It cannot be factorized further

Now, considering the product of all odd numbers

=3×5×5

=75

Now, if we multiply any other remaining number from the factorization of 1200, we will get a even number

Hence, The largest possible value of b is:

75

The slope of the linear equation is 20 and the y-intercept is 150

Slope measures how steep a straight line is. It is described as rise over run.

The slope of the linear equation can be found as follows;

He opens the account with $150 and he plans to save $20 each week. Therefore,

let

x = number of weeks

Therefore,

where

y = amount in his account after x number of weeks.

Using the slope intercept equation,

where

m = slope

c = y-intercept

Therefore, the slope of the linear equation is 20 and the y-intercept is 150

learn more on slope here: https://brainly.com/question/8057577

Answer:

our fraction is 33.333333333333/100, which means that 20/60 as a percentage is 33.3333%.

Answer: D: 2/3

Step-by-step explanation: the numbers you can get is 2, 1, 3, or 5, and the chance of rolling a certain number on a die is 1/6, so for 4 numbers it would be 4/6.

Tell me if I’m wrong

Sample space=6

Getting 2 or an odd no

Probability

p(E)

Answer:

x=40

Step-by-step explanation:

Looking at this problem, we can see that 3x+9=129

Subtract 9 on both sides:

3x=120

Divide by 3 on both sides:

x=40

Answer:

No

Step-by-step explanation:

Exponents are only added when polynomials are multiplied and only applies to like terms. You add the coefficients of the like terms instead.

For example:

[tex](x^2+3x+6)+(2x^2-4x+1)=(1+2)x^2-(3-4)x+(6+1)=3x^2-x+7[/tex]

Answer:

no

Step-by-step explanation:

The exponents are added when the the same coefficient is multiplied:

[tex]x^2(x^3) = x^5[/tex]

If you think about it:

x^2 = x * x    and     x^3 = x * x * x

so you get:

(x^2)(x^3) = x * x * x * x * x = x^5

But, when adding x's of the same power, you add a coefficient:

[tex]x^2 + x^2 = 2x^2[/tex], not [tex]x^2 + x^2 = x^4[/tex]

Always remember to only add exponents when the coefficient/variable is multiplied, not added.

And, when an exponent is put to an exponent, multiply them:

[tex](x^3)^3 = x^3^(^3^) = x^9[/tex]

Step-by-step explanation:

7+8+10=25cm is the possibile perimeter of this

triangle.

Answer:

x ≥ 14

Step-by-step explanation:

Answer:

x ≥ 14

Step-by-step explanation:

The ≥ sign represents greater than or equal to, so x ≥ 14.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

h = 5/2 or 2 1/2

Step-by-step explanation:

The formula to calculate the area of a parallelogram is given as Area of parallelogram = base × height square units

so A = bh

11 1/4 = 4 1/2(h)

h = 11 1/4/4 1/2

h = (45/4)/(9/2)

h = 5/2 = 2 1/2

Answer:

Factoring

Step-by-step explanation:

[tex]x^2-5x+6=0[/tex]

[tex]x^2-2x-3x+6=0[/tex]

[tex]x(x-2)-3(x-2)[/tex]

[tex](x-3)(x-2)=0[/tex]

[tex]x=2[/tex] and [tex]x=3[/tex]

Answer:

shift the decimal point to the left two places.

Step-by-step explanation:

Example:

25%

=0.025

Answer:

£ 8

Step-by-step explanation:

basic equation:

£40 * 1/5

£ 40/5

£ 8

Answer:

Solution:

[tex] = \frac{1}{ \cancel5} \times \cancel{40} \: {}^{8} £[/tex]

[tex] = 1 \times 8£[/tex]

[tex] = 8£[/tex]

Answer:

24265

Step-by-step explanation:

I think you just need to add the expressions 23000 and 1265

23000 + 1265

= 24265

Answer:12

Step-by-step explanation:

z=60/5