Answer:
x = 28
Step-by-step explanation:
Angles on a straight line = 180°
4x + 3 + 2x + 9 = 180
4x + 2x + 3 + 9 = 180
6x + 12 = 180
6x = 180 - 12
6x = 168
6x/6 = 168/6
x = 28
Given the points A (-3, -1), B (1, 4) C (4, -1) what is the x coordinate of D, if ABCD is a parallelogram?
Given:
ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).
To find:
The x-coordinate of point D.
Solution:
Let the point D be (x,y).
We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
In parallelogram ABCD, AC and BD are two diagonals.
Midpoint of AC = Midpoint of BD
[tex]\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]
[tex]\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]
[tex]\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{1}{2}=\dfrac{1+x}{2}[/tex]
[tex]1=1+x[/tex]
[tex]1-1=x[/tex]
[tex]0=x[/tex]
Similarly,
[tex]-1=\dfrac{4+y}{2}[/tex]
[tex]-2=4+y[/tex]
[tex]-2-4=y[/tex]
[tex]-6=y[/tex]
The coordinates of point D are (0,-6).
Therefore, the x-coordinate of point D is 0.
Help......................
The line of best fit for a set of data is y = 19.3232 – 0.7334x. What is the approximate x-value where the y-value is 15.654
Answer:
The answer should be 5.003, you can round if you want to 5
Step-by-step explanation:
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a picture card.
Answer:
Step-by-step explanation:
3/13
The probability of being dealt a picture card is 3/13
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the total number of cards in the deck be = 52 cards
Let the number of picture cards be = A
Now , the picture cards include 4 colors of Jacks , 4 colors of Queens and 4 colors of Kings
So , total number of picture cards = 4 + 4 + 4
= 12 picture cards
And the probability of drawing a picture cards is P =
number of picture cards / total number of cards in the deck
The probability of drawing a picture cards is P = 12 / 52
= 3 / 13
Therefore , the value of P is 3/13
Hence , The probability of being dealt a picture card is 3/13
To learn more about probability click :
https://brainly.com/question/17089724
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PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
New plants and bushes are to be planted along a path that goes around a park. The shape of the park is shown below. What is the distance around the park?
Answer:
640
Step-by-step explanation:
Fhekdgjsddjsbsjsnsdbjsndbdksdbjsssnjsbd
Apply the distributive property to create an equivalent expression.
I will give brainiest but if you put a link i won't
9514 1404 393
Answer:
12e -6f -8
Step-by-step explanation:
The factor outside parentheses multiplies each term inside parentheses.
= (6e)(2) +(-3f)(2) +(-4)(2)
= 12e -6f -8
A 29-foot rope is cut into two pieces. The longer piece is 2 feet longer than twice the shorter piece. How long is each piece?
Answer:
20 is the longer piece, 9 is the shorter piece
Step-by-step explanation:
9*2=18
18+2=20
20+9=29
please help me fast! thanks
Answer:
the answer is 15
Step-by-step explanation:
Just add
Answer:
15 grams
Step-by-step explanation:
What percentage of 400=104 pls help me
Answer:
26%
Step-by-step explanation:
To find the percentage of a number, I find it's often helpful to first write it as a fraction: [tex]\frac{104}{400}[/tex] .
Percentages can be represented as a fraction by putting them over 100, eg. 25% is [tex]\frac{25}{100}[/tex]
.
Therefore, to get [tex]\frac{104}{400}[/tex] into a percentage, we need to change that 400 on the bottom to 100. How do we do that? Divide by four. However, anything we do to the bottom of a fraction, we must do to the top, so we divide both by four:
[tex]\frac{\frac{104}{4} }{\frac{400}{4} }[/tex] = [tex]\frac{26}{100}[/tex]
As we saw earlier, if a fraction has 100 at the bottom, then the top of the fraction is the percentage. So 104 is 26% of 400.
During a 4-year period, 65% of snowstorms in a certain city caused power outages. 14 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 4-year period.
Answer:
40
Step-by-step explanation:
S x .35 = 14
S = 14/.35
S = 40
Verify:
40 x 35% = 14
The equation has a solution of x = 5.
What is the value of k?
k =
Answer:
K= -11
Step-by-step explanation:
LOOK AT THE PHOTO PLEASE
Answer:
The answer to the question provided is 4.
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \: \: \: 9x + 4 = 5x + 20 \\ \frac{ - 5x = - 5x}{4x + 4 = 20} \\ \frac{ \: \: \: \: \: \: \: \: - 4 = - 4}{ \frac{4x}{4} = \frac{16}{4} } \\ x = 4[/tex]
[I apologize if the answer to the question is inaccurate]
Can anyone help me out??
9514 1404 393
Answer:
p(1) = 6
Step-by-step explanation:
The basic idea is to put 1 wherever you see x. That gives you ...
p(1) = 2·1² +3·1 +1
The powers of x are all 1 when x=1, so the value of p(1) is just the sum of the coefficients:
p(1) = 2 + 3 + 1
p(1) = 6
Polygon STUV is reflected over the X axis and then over the Y axis to create WXYZ. Which of the following sides are congruent?
Answer:
ST and WX
Step-by-step explanation:
flipped around st and wx mathched
Answer:
ST and WX
Step-by-step explanation:
A basket had 15 mangoes. A monkey came and took
away two-fifths of the mangoes. How many mangoes
were left in the basket
Answer: There are 9 mangoes left in the basket.
Step-by-step explanation:
(2/5) * 15 = 6.
15 - 6 = 9.
Step by step explanation please
Step-by-step explanation:
of what where is the question
What is 6 ( 8 + w). Use the distributive property to remove the parentheses.
Answer:
42 + 6w
Step-by-step explanation:
Basically,
6(8+w) is 6 x (8+w)
OR 6(8) + 6(w)
Hence 42 + 6w
Lydia would like to have cake and pizza at her party the cake will cost $23, each pizza cost $15.00 the total budget for the food at her party is $75 what are the number of pizzas she can get and what is the equation and define your variable
Answer:
20
Step-by-step explanation:
fw3f2f3sf a
800:2 in the simplest form
Answer:
400:1
Step-by-step explanation:
800:2
800/2:2/2
400:1
By rounding to 1 significant figure estimate the answer to the question of these questions. a) 346x904
b) 2451x988
c) 3203x7756
Write the equation of the quadratic function shown in the graph.
Answer:
Step-by-step explanation:
y = a(x-h)² + k, where (h,k) is the vertex.
vertex is clearly (0,0), so y = ax².
Plug in (3,3) and solve for a:
3 = a3²
a = ⅓
y = ⅓x²
Enter your answer in the box.
Find the value of the expression 4d - C + 3 when c = 3 and
d = 6.
Answer:
4d - c + 3
4(6) - 3 + 3
24 - 3 + 3
24
Step-by-step explanation:
24
Hope this helps :T
Find the value of x and y. Select all that apply. Please show your work :) image is attached
Answer:
x = 29
y = 110°
Step-by-step explanation:
y° = (3x + 23)° => corresponding angles are congruent)
(2x + 12)° + y° = 180° => linear pair
Thus:
(2x + 12)° + (3x + 23)° = 180° => substitution
2x + 12 + 3x + 23 = 180
Add like terms
5x + 35 = 180
5x = 180 - 35
5x = 145
x = 145/5
x = 29
✔️y = (3x + 23)°
Plug in the value of x
y = 3(29) + 23
y = 110°
what is the fraction form of .8
Huh! Its me DaBaby and i need your help with this question. Yeah Yeah!
Answer:
the third one is the correct answer
[tex]b { }^{ - 16} [/tex]
Step-by-step explanation:
hope the helps
Answer:
b to power of -16
Step-by-step explanation:
Which of the expressions are equivalent to the one below? Check all that
apply.
10x(3+4)
A. (3+4)x10
O B. (10x3) + 4
C. 10.3 + 10 - 4
D. 10. (4+3)
SUBMIT
It costs $29.50 to enter an amusement park and $0.25 to ride a ride. You have $30. Write an equation that represents the number of rides you can ride.
Answer: 120.
Step-by-step explanation: $30 divided by $0.25
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+161x+108
y=−16x
2
+161x+108
Answer:
5.03secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
y = -16x^2 + 161x + 108
The rocket reaches it max height when its velocity is zero
Velocity is expressed as;
V(x) = dy/dx = 0
dy/dx = -32x + 161
0 = -32x + 161
32x = 161
x = 161/32
x = 5.03
Hence it will take 5.03secs for the rocket to reach its maximum height
Given that the quadrilateral shown is a parallelogram, which statements are correct?
A)
mZA = 950
B)
mZB = 65
C)
mZC = 959
D)
AD = 8
E)
DC = 12
Answer: I know that DC is 12 and AD=8 the others i dont know.
Step-by-step explanation:
This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.
please help i don't even where to start
solve for x
The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.
Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length x.
Now, by the intersecting chord theorem,
16×4 = x × x
or
x ² = 64
so that
x = 8