Find the value of x. Show your work with proper statements and notations. D ∈ AC
Answers
Answer:
x=25°
Step-by-step explanation:
Using the "Z rule," m∠DCB has the same value with m∠EAD so they are both x.
Look at D, the other side should be 130° since it'll be 180 when you add 130 and 50.
in our triangle DBC we have 130° and 2x. So 2x = 50 and x=25
Related Questions
immy said, “The ratio of boys to girls in my class is 3 to 4. For every 3 boys we have 4 girls.” If her class has 24 girls, how many boys are in her class? Show ALL work.
Answers
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:
18 boysStep-by-step explanation:
The ratio is:
b/g = 3/4, where b- boys and g- girls24 girls in the , then number of boys is:
b / 24 = 3/4b = 24*3/4b = 18What is the equation of the parabola, in vertex form, with focus at (2,-4) and directrix y=-6?
A. (X-2)^2 = 4(y+5)
B. (Y+4)^2 = 4(x-2)
C. (X+2)^2 = 1/4(y+4)
D. (X-2)^2 = -1/4(y+5)
Answers
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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Square ABCD is shown in the xy-coordinate plane. The square will be
dilated with the center O by a scale factor of 2 to create square A'B'C'D'.
Which statements are true?
Select all that apply.
BC ||B'C'
AC=A'C'
AD_CD
Point D' has the same coordinates as point C.
Point C' lies on the line containing points 0 and C.
Answers
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:
BC║B'C'AC ⊥ line C'D'D' and C have the same coordinatesC' lies on line OCplease help me guys lol?
Answers
Answer:
Hey
Step-by-step explanation:
Write the fraction in simplest form
[tex] - \frac{29}{18} [/tex]
EXPLANATION[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]
please help me and I'll give you brainliest
Answers
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]
Help me out with number 9 (geometry)
Answers
Answer:
The answer to the question provided is 37.5.
Emily bought 12 oranges from store to make orange juice. The total cost was $15. How much did each orange cost?
Answers
Answer: 1.25
Step-by-step explanation:
hope this helps !!
Dont really know this. Anyone wanna help.
Answers
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
(05.06A)Angle ABC is formed by segments AB and BC on the coordinate grid below:
Which statement shows the measure of angle A′B′C′?
A. m∠A′B′C′ = 90 degrees
B. m∠A′B′C′ = 180 degrees
C. m∠A′B′C′ = m∠ABC
D. m∠A′B′C′ = 2 × m∠ABC
Answers
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:
Anybody know the answer to this? Please help ASAP
Answers
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:
If the measure of angle A is 71° in the measure of angle E is:
Answers
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
You have 8 cups of milk. You need 1.25 cups to make one serving of deep-fried chicken. How many servings can you make?
Answers
Answer:
6 servings
Step-by-step explanation:
1,25x6=7.5
The number of servings can you make deep-fried chicken will be 6.
What is inequality?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.
https://brainly.com/question/19491153
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One Friday night, two large groups of people called Weston Taxi Service. The first group requested 2 sedans and 1 minivan, which can seat a total of 14 people. The second group asked for 2 sedans and 2 minivans, which can seat a total of 20 people. How many passengers can each type of taxi seat? Write a system equation of the this.
Answers
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.
Will mark brainliest!!! Please solve the ones in green using Tran
Answers
Answer: 160.96 and 99.03
Step-by-step explanation:
Number 1:
[tex]tan(61) = \frac{x}{43}[/tex] [tex]tan(61)(43) = x[/tex][tex]160.96 = x[/tex]Number 2:
[tex]tan(57) = \frac{48}{x}[/tex][tex]tan(57)(x) = 48[/tex][tex]x = \frac{48}{tan(57)}[/tex][tex]x = 99.03[/tex]Determine the intercepts.
1y
x-intercept
y-intercept
8
4.
-2
1
2
-4.
-8
Answers
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.
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 12 cm, and the base has a radius of 5.5 cm. The cooler has
18,997 cm of water in it. How many cups can be filled from the cooler?
Use 3.14 for 11, and do not round your answer.
Answers
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
Which equation is equivalent to 4(6x-2)+1=5(4x-1)
a. 24x-7=20x-5
b.24x-1=20x-1
c.24x-4=10x-5
d.24x+9=20x+5
Answers
The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?
Answers
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.
x + 7y < 14
– 2y < 10
х
Answers
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.
Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answers
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.
(B) is the right answerSolve the system by substitution.
-9x – 2y = -44
8x – 3 = y
Answers
Answer:
x = 2, y = 13
(2, 13)
Step-by-step explanation:
hope this helps!
wHaT iS tHe aReA I NEED HELP
Answers
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:
Hope this isn’t too difficult, my teacher said to show you're work... so I hope you don’t mind explaining how you found it.
Answers
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.
What value of x is in the solution set of -5x-15>10+20
Answers
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
John has a bag of marbles There are 3 green, 4 blue, 2 red and 1 yellow. What is the probability of him getting a green or blue?
Answers
Answer:
7/10 or 70%Step-by-step explanation:
Total marbles:
3 + 4 + 2 + 1 = 10Green and blue marbles:
3 + 4 = 7Probability of getting green or blue:
7/10A builder needs to cover 10 square yards of floor with tile. red tile costs $60 per square yard, and white tole costs $40 per square yard. if the builder spends exactly $480 on tile, how much of the floor will be overed with RED tile?
Answers
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
The value of 34 + 6 ⋅ 5 = . (1 point)
Answers
Answer:
The answer is 64
Step-by-step explanation:
34 + 6(5)
34 + 30 = 64
Find the value x and write the property used here.
Answers
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°
What is the area, in square centimeters, of the trapezoid below?
8.9 cm
5.5 cm
5.5 cm
Answers
Answer:
0.4m²
Step-by-step explanation:
use the formular for tripezoid and only substitute a b and h
A manufacturer of prefabricated homes has decided to subcontract four components of the homes. Several companies are interested in receiving this business, but none can handle more than one subcontract. The bids made by the companies for the various subcontracts are summarized in the following table. Assuming that all the companies can perform each subcontract equally well, to which company should each subcontract be assigned if the home manufacturer wants to minimize payments to the subcontractors? Assuming that all the companies can perform each subcontract equally well, to which company should each subcontract be assigned if the home manufacturer wants to minimize payments to the subcontractors?
Bids by Companies (in $1000s) for Various Subcontract
Company
Component A B C D
1 185 225 193 207
2 200 190 175 225
3 330 320 315 300
4 375 389 425 445
What is an LP model that matches this?
Answers
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]