Find the value of x. Show your work with proper statements and notations. D ∈ AC

Answer:

25 degrees

Step-by-step explanation:

angle CAD is a right angle, which is 90 degrees, and angle CAF is a straight line (180 degrees), which makes angle DAF a right angle. It is given that angle EAF is 65 degrees, therefore,

90 degrees - 65 degrees =  25 degrees

Answer:

A. (X-2)^2 = 4(y+5)

Step-by-step explanation:

Equation of parabola: (x-2)² = 4(y+5)

Thus option A is correct.

Given:

Focus at (2, -4) and a Directrix of y = -6

Here,

Let us suppose that there is a point (x, y) on the parabola.

Its distance from the focus point (2, 4) is √(x - 2)² + (y + 4)²

Its distance from directrix y = -6 is |y + 6|

Therefore, the equation will be:

√(x - 2)² + (y + 4)² = |y + 6|

Squaring on both the sides,

(x - 2)² + (y + 4)² = (y + 6)²

x² - 4x + 4 + y² + 8y + 16 = y² + 12y + 36

(x-2)² = 4(y+5)

Therefore option A is correct.

Know more about parabola,

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Answer:

Hey

Step-by-step explanation:

Write the fraction in simplest form

[tex] - \frac{29}{18} [/tex]

[tex] \frac{8}{9} - \frac{5}{2} [/tex]

Find the difference between 8/9 and 5/-2

[tex] \frac{8}{9} - \frac{5}{2} [/tex]

[tex] \frac{8 \times 2}{9 \times 2} - \frac{5 \times 9}{2 \times 9} [/tex]

[tex] \frac{16}{18} - \frac{45}{18} [/tex]

[tex] \frac{16 - 45}{18} [/tex]

[tex] \frac{ - 29}{18} [/tex]

[tex] - \frac{29}{18} [/tex]

Answer:

The answer is 64

Step-by-step explanation:

34 + 6(5)

34 + 30 = 64

Answer:

The answer to the question provided is 37.5.

Answer:

The x intercept is -1 and the y intercept is 2.

Step-by-step explanation:

The intercepts are the points where the line crosses an axis. The line crosses the x axis at the point (-1,0) with the x value being -1. The line crosses the y axis at the point (0,2) with the y value being 2.

Step-by-step explanation:

Soln,

Here,

45°+65°+y(let)=180°[ being a triangle]

or,110°+y=180°

or,y=180°-110°

so,y=70°

Now,

x=?

so,

x+y=180°[being straight angle]

or,x+70°=180°

or,x=180°-70°

x=110°

THEREFORE,x=110°

solved!

Answer:

x = 110°

Step-by-step explanation:

Exterior angle property states that the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

x = 45° + 65° = 110°

Answer:

x = 2, y = 13

(2, 13)

Step-by-step explanation:

hope this helps!

Answer: 160.96 and 99.03

Step-by-step explanation:

Number 1:

Number 2:

Answer:

(3,0) is the answer.

Step-by-step explanation:

for first inequality,

3 + 7×0 ≤ 14

or, 3 ≤ 14

for second inequality,

3 - 2×0 ≤ 10

or, 3 ≤ 10

As you can see (3,0) satisfies both equations. so (3,0) is the answer.

Answer:

16.65 cups

Step-by-step explanation:

Step one:

height =12 cm, and

the base has a radius =5.5 cm

Volume of the cup = πr^2h

substitute we have

volume= 3.142*5.5^2*12

volume= 3.142*30.25*12

volume=1140.546cm^3

Step two:

volume of cooler=  18,997 cm^3

hence the number of cups to fill it is

=18,997/1140.546

=16.65 cups

Answer:

Im pretty sure its 96.

in other words, i think its A.

...brainly now?

how i did this:

Formula for Volume of Rectangular prism: V=lwh

The width is the bottom row

The length is the bottom row but on the side.

The hight is.... the hight. the number of blocks going up.

then if you times your W (width), your L (length), and your H (hight), then you will get your V (volume.)

W= 4

L= 6

H= 4

times it together and you get V=96

Answer:

[tex]\mathrm{A. \:96\:cubic\:cm}[/tex]

Step-by-step explanation:

The volume of a rectangular prism can be represented by [tex]l\cdot w\cdot h[/tex]. The dimensions of this prism are 4x4x6.

Therefore the volume of this prism is:

[tex]4\cdot 4\cdot 6=\fbox{$\mathrm{A. \:96\:cubic\:cm}$}[/tex]

Answer:33 square feet

Step-by-step explanation:

Split the shape into two rectangles

3x7

6x2

Solve:

3x7=21

6x2=12

Add

21+12=33

Answer:

the area is 32

Step-by-step explanation:

Answer:

3/4 / 1/6

keep the first fraction the same

3/4

flip the second fraction

6/1

change the division to a multiplication it should then read

3/4 X 6/1

now multiply the fractions

3 X 6 = 18

4 X 1 = 4

18/4 this can then be turned into a mixed number.

there are four 4's in 18 with two left over. so it becomes

4 2/4 and simplified 4 1/2.

Answer:

18 boys

Step-by-step explanation:

24 divided by 4 gives you 6 girls so multiply the amount of boys (3) and you will get how many boys are in her class.

Answer:

Step-by-step explanation:

The ratio is:

24 girls in the , then number of boys is:

Answer: 1.25

Step-by-step explanation:

hope this helps !!

Answer:

Sedan: 4 passengers

Minivan: 6 passengers

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}2s+1m=14 \\2s+2m=20\end{cases}[/tex], where [tex]s[/tex] represents the number of people a sedan can seat and [tex]m[/tex] represents the number of people a minivan can seat.

Subtracting the first equation from the second, we have:

[tex]2s+2m-(2s+1m)=20-14,\\\\m=6[/tex]

Now plug in [tex]m=6[/tex] in any of the equations to solve for [tex]s[/tex]:

[tex]2s+1(6)=14, \\2s=8, \\s=4[/tex]

Verify that the solution pair [tex](4, 6)[/tex] works:

[tex]2(4)+1(6)=14\: \checkmark \\2(4)+2(6)=20 \: \checkmark[/tex]

Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.

Answer:

0.4m²

Step-by-step explanation:

use the formular for tripezoid and only substitute a b and h

If Angle A is 71°, E is 355°.

Answer:

Angle E: 289

Step-by-step explanation:

If there are only 2 angles, and they would add up to be 360, then it is 289.

Just subtract 360-71 to get 289

Answer:40 square yards

Step-by-step explanation:

Given

Floor area A=10 square yards

Red tile costs [tex]\$ 60[/tex] per square yards

White tile costs [tex]\$40[/tex] per square yards

Total money spent=[tex]\$480[/tex] on tiles

Suppose red tiles cover an area of [tex]x[/tex] square yards

So, we can write

[tex]60\times x+40\times (10-x)=480\\60x+400-40x=480\\20x=80\\x=40\ \text{square yards}[/tex]

Red tiles cover an area of 40 square yards  

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Let [tex]x_{ij}=1[/tex] when i is the element itself is allocated to 'j' [tex]i_0[/tex]

Min  

[tex]185X_{1A}+225X_{1B} +193X_{1C} +207X_{1D} +200X_{2A} +190X_{2B} +175X_{2C}+225X_{2D}+330X_{3A} +320X_{3B} +315X_{3C}+300X_{3D}+375X_{4A}+389X_{4B}+425X_{4C}+ 445X_{4D}[/tex]

Subject to:

[tex]X_{1A} +X_{1B}+X_{1C}+X_{1D}=1\\\\X_{2A} +X_{2B}+X_{2C}+X_{2D}=1\\\\X_{3A} +X_{3B}+X_{3C}+X_{3D}=1\\\\X_{4A} +X_{4B}+X_{4C}+X_{4D}=1\\\\X_{1A} +X_{2A}+X_{3A}+X_{4A}=1\\\\X_{1B} +X_{2B}+X_{3B}+X_{3B}=1\\\\X_{1C} +X_{2C}+X_{3C}+X_{4C}=1\\\\X_{1D} +X_{2D}+X_{3D}+X_{4D}=1[/tex]

Answer:

θ = 36.86°

Step-by-step explanation:

Given that,

The shadow of a 60 foot pole is a 100 feet long.

We need to find the angle of elevation from the end of the shadow to the top of the pole.

Height, h = 60 foot

Hypotenuse, H = 100 feet

Using trigonometry to find it.

[tex]\sin\theta=\dfrac{\text{Height}}{\text{Hypotenuse}}\\\\\sin\theta=\dfrac{60}{100}\\\\\theta=\sin^{-1}(\dfrac{60}{100})\\\\\theta=36.86^{\circ}[/tex]

So, the angle of elevation is 36.86 degrees.

9514 1404 393

Answer:

  A, C, D, E

Step-by-step explanation:

Dilation does not change angles or directions. Every image point X' lies on the line containing the center of dilation and the pre-image point X. If the scale factor is other than 1, no image segment will be congruent to its pre-image segment. So, the following are true:

Answer:

6 servings

Step-by-step explanation:

1,25x6=7.5

The number of servings can you make deep-fried chicken will be 6.

Inequality is defined as an equation that does not contain an equal sign.

You have 8 cups of milk.

You need 1.25 cups to make one serving of deep-fried chicken.

Let x be the number of the deep-fried chicken.

Then the inequality will be

1.25x ≤ 8

On solving, we have

x ≤ 6.4

Then the number of servings can you make deep-fried chicken will be 6.

More about the inequality link is given below.

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Answer:

Step-by-step explanation:

Total marbles:

Green and blue marbles:

Probability of getting green or blue:

Answer:

B

Step-by-step explanation:

We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:

[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]

The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:

[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]

Remember that the derivative of a constant is always 0. Therefore:

[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]

And by subtracting dy/dt from both sides, we acquire:

[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]

Hence, our answer is B.

Answer:

Let x and y be functions of time t such that the sum of x and y is constant.

Answer:

Resposta:

x = 1

Explication

10x – 9 = x *

10x - x = + 9

9x = 9

x = 9 / 9

x = 1

S= { 1 }

Answer:

x< -9

Step-by-step explanation:

-5x>10+20+15

-5x>45

-5x/-5<45/-5

x<-9

Answer:

(C) m∠A′B′C′ = m∠ABC

Step-by-step explanation:

Regardless of what translation or transformation you do to this shape, the angles will always stay the same.

Answer:

Give the other guy who answer brainlyist he is poggers.

Step-by-step explanation:

Answer:

Read this section of the text:

These raptors eat primarily flying insects, so they do most of their hunting on the wing.

What does primarily mean in this sentence?

Step-by-step explanation: