Answer:
x = 26
Step-by-step explanation:
1. Information
One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.
2. Base of the rectangle
Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.
3. Base of the triangle
Use the Pythagorean theorem;
[tex]a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse[/tex]
Substitute in the given value and solve
[tex]a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8[/tex]
4. Finding x
There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be
x = base_of_triangle + base_of_rectagle + base_of_triangle
x = 8 + 10 + 8
x = 26
How do I do this problem (similar right triangles) please explain how you did it!!
ASAP!!!
Answer:
by phythagoras theorem
(c+b)^2=(8)^2+(6)^2
(b+c)^2=64+36
(b+c)^2=100
b+c=√100
b+c=10.
by phythagoras theorem
(8)^2=(a)^2+(b)^2
64-b^2=a^2. {1}
by phythagoras theorem
(6)^2=(a)^2+(c)^2
36-c^2=a^2. {2}
In equation 1 and 2,
64-b^2=36-c^2
64-36= -c^2+b^2
28= b^2-c^2
28=(b+c)(b-c)
28=10(b-c)
b-c=28/10
b-c=2.8.
b+c=10
b-c=2.8
subtract both equations
c=3.6
option A is correct.
Subtract -7x + 6 from -2x^2 + 9x - 2
Answer:
[tex]( - 2 {x}^{2} + 9x - 2) - ( - 7x + 6) \\ = - 2 {x}^{2} + (9 + 7)x + ( - 2 - 6) \\ = - 2 {x}^{2} + 16x - 8[/tex]
Solve the system of linear equations by graphing. y=-3x + 1 y = x- 7
Answer:
(2,-5)
Step-by-step explanation:
Valeria drove 621 miles in 11.5 hours. What was her average speed in miles per hour?
Answer:
54 miles per hour.
Step-by-step explanation:
Just divided 621 by 11.5.
You would take 621 and divide that by 11.5 and you would get 54 mph I believe, if I am wrong please let me know so I can take down my answer! have a great and God blessed day! :D
Can you guys help we with this question.
Answer:
40
Step-by-step explanation:
(2x+1/(2x))^5 *(2x -1/(2x))^5
= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2
= (4x^2-1/4(x)^2)^5
now
x =4x^2. ,a = 1/4(x)^2 ,n =5
we have
general term = Cr *x^r *a^(n-r)
= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)
= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)
= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)
= Cr * 4(2r-n) *x(4r-2n)
now for x^2
4r-2n = 2
4r -10=2
4r =12
r = 3
now for coeff
C(5,3) * 4^(2*3-5)
5!/(3!*(5-3)!) * 4
5*4/(2*1)*4
40
I need help pleasee
Answer:
c is the answer
explination:
4*3 1/2=28/2
28/2 divided by 6 is equal to 7/3 or 2 1/3
Put these in descending order 0.68,0.9,0.81 and 0.86
Answer:
0.9 , 0.86, 0.81, 0.68
Step-by-step explanation:
i don't know if this has an explanation, you should just order them
What type of association would you expect between a persons age and hair length (positive/negative etc)
Answer:
:0 according to my calculations
Step-by-step explanation:
cheese
-2 3/4 - 4 7/10 + 2.6 - (1.9) I need it asap as a decimal
Answer:
The answer is -6.75
Which equation represents a line with a slope of 1⁄2 passing through
the point (6, 4)? please answer ASAP. will give brainiest with explanation
Answer:
is -4=Y
Step-by-step explanation:
i had that problem
HELP PLEASE WILL GIVE BRAINLIEST!!!
Help, I don’t know how to do this.
Answer:
2
Step-by-step explanation:
OK 13-5=8 and that leaves 8k so k must be 2 because since their is no space they are being multiplied together and 8x2=16 :) hope this helps
plz give thanks
write 2x + y= 9 in the form of y=mx + b
Step-by-step explanation:
2x+y=9 ( y=mx+b)
y=-2x+9
sorry...if its wrong
How many solutions does 6 -3x = 12 - 6x have?
A. Two solutions
B. No solutions
C. Infinitely many solutions
D. One solution
Answer:
D. One solution
Step-by-step explanation:
Simplify:
[tex]6-3x = 12-6x\\-3x+6x = 12-6\\3x = 6\\x = 2[/tex]
There is only one solution (x=2) that satisfy the equation.
yo somebody help me on this i will mark you has brainlist c: plz
The angle of a quadrilateral are in the ratio 4:6:3 and it's fourth angle is 100. Find the other three angles of the quadrilateral
Step-by-step explanation:
Sum of angles in a quadrilateral = 360°
Sum of first 3 angles = 360° - 100° = 260°.
260° / (4 + 6 + 3) = 20°.
First angle = (20°) * 4 = 80°
Second angle = (20°) * 6 = 120°
Third angle = (20°) * 3 = 60°
The angles are 80°, 120° and 60°.
Answer:
Let the angles of the quadrilateral be 4x, 6x, and 3x
Sum of the interior angles of a quadrilateral is 360°.
According to the above problem,
[tex]4x + 6x + 3x + 100 = 360 \\ 13x = 360 - 100 \\ 13x = 260 \\ \boxed{x = 20}[/tex]
1st angle=4x=4×20=80°2nd angle=6x=6×20=120°3rd angle=3x=3×20=60°Hence, the other three angles are 80°, 120° and 60°.
Rectangular tiles, which measures 8 by 6 ,are arranged without overlaping ,to create a square ,The minimum number of these tiles needed to make a square is
Answer:
24
Step-by-step explanation:
To obtain the minimum number fi tiles needed;
We find the Lowest common multiple of 8 and 6
Multiples of :
6 = 6, 12, 18, 24, 30, 36, 42, 48,...
8 = 8, 16, 24, 32, 40, 48, 56,...
Hence, the lowest common multiple of 8 and 6 is 24
Answer:
its B
Step-by-step explanation:
chicken tenders or chicken nuggets
Answer:
i dont know which one to choose but chicken tenders
Answer:
Chicken tenders.
Step-by-step explanation:
Chicken nuggets are the gross consumption of organs including lungs and others mushed together and fried. In return kids run to it because (most) kids only eat gross stuff. This made the marketing campaign SKY ROCKET with kids everywhere trying to get a bite. FORCING their poor parents to get them that disgusting mush. And then dip it in ketchup. Which is NOT a fruit or veggie. (As the school system thinks they are a veggie.)
While chicken tenders are chopped off the chicken meat then rolled in bread crumbs. And then deep fried to make a crispy exterior with a delicious tender interior. Without getting mushed together with other things.
Also you never know what they put in that chicken nugget since its mushed together ♀️.
Your middle school has 900 students. 1/3 of students bring their lunch instead of buying lunch at school. How many students do and do not bring their lunch?
Answer:
2/3
Step-by-step explanation:
If 1/3 of students bring their lunch to school then 2/3 of students dont
Answer:
300 brought lunch
600 did not bring lunch
Step-by-step explanation:
1/3 of 900 = 300
Gilbert is -17 meters under sea level every second(s) he gains 0.5 meters after how many seconds is he at sea level?
Answer:
He is at sea level after 34 seconds
Step-by-step explanation:
The height at sea level is given as 0 meters
So the change in height would be;
0- (-17) = 17 meters
There is a gain of 0.5 meters in 1 second
So, the time taken for it to gain 17 meters will be 17/0.5 = 34 seconds
Can someone help? Don’t need any working out
help giving brainliest
Answer:
First you have to plot Bart's Garage's fee. Bart's equation is y = 30x + 20, so you would need to plot the points (0, 20) and (1, 50).
Lisa's base fee is the same, so her equation would have a + 20 at the end of it, but her hourly fee is higher. Therefore her hourly fee would be higher than 30. Her equation could be anything above 30, y = 50x +20 would work. The points for that graph are (0, 20) and (1, 70).
Write slope intercept of the equation with slope of 7 crossing point (0, 5)
Answer:
y=7x+5
Step-by-step explanation:
6c – 7 + d + 4 – 6d combine like terms
Answer:
6c-5d-3
Step-by-step explanation:
6c-7+d+4-6d=6c-5d-3
(-2, 4) and (3, -1)
Write equation in slope intercept form
Answer: y=-x+2
Step-by-step explanation:
m=(-1-4)/(3+2)=-5/5=-1
y=-x+b
Plug in the values
y=-x+2
Answer:
y = − x + 2
Step-by-step explanation:
PLS HELP I HAVE TO TURN THIS IN IN FIVE MIIN!!
Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket sales. If the club sells 40 tickets in advance, what is the least number of tickets the club needs to sell at the door to reach the president’s goal?
Answer:48
Step-by-step explanation:
Answer:
48 tickets
Step-by-step explanation:
so multiply the 4 and 40 to get 160, then subtract that from 400. divide by the 5 and then u get 48
50 POINTS PLEASE HELP ASAP IF CORRECT WILL GIVE BRAINLYIST
Answer:
1: (5,-2) 16
2: (-2,2) √3
3: (-14,21) 2
4: (-7,10) √8
5: (2/3,17) √5
Step-by-step explanation:
Sheleah and her family are planning a trip from Los Angeles, California to Melbourne, Australia. While booking her family's plane tickets, she notices on the itinerary that the airline is offering a sixteen hour straight flight from Los Angeles to Melbourne on a Boeing 747-8 Intercontinental Jet. In an effort to learn more about the capabilities of the Jet, Sheleah does a little research and stumbles upon the following graph and facts about the Jet's gasoline consumption.
GRAPH IN SCREENSHOT
The Boeing 747-8 Intercontinental Jet can carry approximately 422,000 gallons of gasoline, making it possible for the jet to travel 14,430 kilometers before needing to refuel.
Using the graph, approximate the Jet's average gas consumption, in gallons per hour, during the sixteen hour flight from Los Angeles, California to Melbourne, Australia. In your final answer, include all of your calculations.
26375
On the graph, it tells you how much fuel is left after 2 hours of the journey.
If we take 422,000 and subtract 369,250 from it we get 52,750. However, this is how much gas is used in 2 hours, so to find one hour we need to divide by 2, getting us 26,375.
Therefore, the Jet uses 26,375 gallons per hour during the 16 hour trip from Los Angeles, CA to Melbourne, Australia.
State the equation of the straight line with:
a - a gradient of 4 passing through the y-axis at (0,7)
b - a gradient of 5 passing through the y-axis at (0,1)
c - a gradient of 6 passing through the y-axis at (0,2)
d - a gradient of 9 passing through the y-axis at (0,13).
Answer:
a) y = 4x + 7 (b) y = 5x + 1 (c) y = 6x + 2 (d) y = 9x + 13
PLS HELP ME ON THIS ASAP!!!!
Answer:
a = upward
vertex = -2,4
Step-by-step explanation:
i will answer the rest under comments