Diagram 5 shows a triangle ABD such that AD = 17 cm, AB = 10 cm and BD = 21 cm. The straight line AC is perpendicular to the straight line BD and the value of area of triangle ABD is an integer. Calculate the length of AC, in cm. (4 marks)
Answers
Answer:
8
Step-by-step explanation:
100 = x^2 + AC^2
17^2 = AC^2 + (21 - x)^2
289 = AC^2 + 21^2 + x^2 - 2*21*x
289 = AC^2 + 441 + x^2 - 42x
from 1st equation AC^2 + x^2 = 100
289 = 441 + 100 - 42x
289 = 541 - 42x
42x = 541 - 289 = 252
x = 252/42 = 6
so AC^2 = 100 - 6^2 = 100 - 36 = 64
AC = 8
Related Questions
(x + 3) is a factor of the polynomial x^3 + 2x^2 - 5x + n.
What is the value of n?
Answers
Answer:
n = - 6
Step-by-step explanation:
Given (x + h) is a factor of a polynomial f(x) then f(- h) = 0
Here
f(x) = x³ + 2x² - 5x + n and (x + 3) is a factor then f(- 3) = 0 , that is
f(- 3) = (- 3)³ + 2(- 3)² - 5(- 3) + n = 0 , so
- 27 + 2(9) + 15 + n = 0
- 27 + 18 + 15 + n = 0
6 + n = 0 ( subtract 6 from both sides )
n = - 6
A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire
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Answer:
Your mom
Step-by-step explanation:
I saw her yesterday
In the adjoining figure, AB = DC, ∠BAC = ∠BDC = 90ᵒ, Which of the following
statement is true?
Answers
Answer:
i
Step-by-step explanation:
We have to match the corresponding angles and sides of the 2 triangles.
∡ A corresponds to ∡ D
∡ B corresponds to ∡ C
∡ C corresponds to ∡ B
i) Δ B A C ≅
⇵ ⇵ ⇵
Δ C D B
what is 120 times 1 over 100
Answers
120/100 = 12/10 = 6/5
The answer is 6/5
Solve.
1/3(x+3/5)=3
x=36/5
x=42/5
x=48/5
Answers
Answer:
x = 42/5 is the answer to this question
Option B is correct, the solution to the equation is x = 42/5.
The given equation is 1/3(x + 3/5) = 3.
We have to solve for x:
x is the variable in the equation.
Multiply both sides by 3 to get rid of the fraction:
1/3(x + 3/5) × 3 = 3 × 3
(x + 3/5) = 9
Subtract 3/5 from both sides to isolate the x term:
(x + 3/5) - 3/5 = 9 - 3/5
x = 9 - 3/5
Now, to combine the terms on the right side:
x = 45/5 - 3/5
x = 42/5
Therefore, the solution to the equation is x = 42/5.
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what is the answer to 5+ (6)(3)
Answers
Answer:
23 i think
Step-by-step explanation:
[tex](x+7)(x-2)[/tex]
Answers
Answer:
x^2+5x-14
Step-by-step explanation:
Using FOIL method, we get (x^2)+(-2x)+(7x)+(-14), which is just x^2+5x-14
FOIL = First, Outer, Inner, Last
is it correct?
or not
Answers
……………………..
Please help me! :D <3
Answers
Answer:
Well 5 times 1 is 2.5 which can't be and integer
so I looked it up an this is what I got How do you write 2.5 as an integer?
If this is the question, then Integer-Part[2.5] = 2, and the Fractional-Part[2.5] = . 5.
I would put 3 it because 2.5 as a hole number is 3
Step-by-step explanation:
216+5( 8+1/5) Please i need it asap ty!
Answers
216+41
257
Please brainlyest
Answer:
257
Step-by-step explanation:
216 + (5 x(8 + 1/5)
solve pls brainliest
Answers
If you want a detailed solution
Tell me
In ∆GHI and ∆JKL, GH = JK, HI = KL, GI = 9’, m∠H = 45°, and m∠K = 65°. Which of the following is not possible for JL: 5’, 9’ or 11’?
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Answer:
11'
Step-by-step explanation:
0.95929409956639. rational or irrational
Answers
Answer:yes
Step-by-step explanation:
The amount of sales of single scoop ice-cream cones during the summer s(c0 varies directly with the number of customers c. Ten customers bought a total of $44 worth of ice-cream cones. Which equation can be used to find the ice-cream sales for c customers?
Answers
Answer:
s(c)= 4.4c
Step-by-step explanation:
Which graphs represent functions with the following key features?
- positive on (-∞, ∞)
- increasing on (-∞, ∞)
- approaches 0 as x approaches -∞
Answers:
• Graph U
• Graph V
• Graph W
• Graph X
• Graph Y
• Graph Z
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A restaurant allows groups to rent a private room in the restaurant for $50. This is in addition to the cost of food which is $10 per person.
Use the Ray tool to make a graph that shows C, the total cost for a group of p people to eat in the rented private room. Graph the ray by plotting two points. The first point selected must be the endpoint of the ray. The second point can be any other point on the ray.
Answers
Answer:
See attached
Step-by-step explanation:
First, our y-intercept must be $50 because no matter how many people come, there will be the cost of the room for $50. Then, for every person that comes, the price will increase by $10. Since the y-axis is going by tens, this will look like a 1/1 slope.
The first point is at (0, 50) and you can see the rest of the ray graphed
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
I need #1 done (show work) will give brainliest
Answers
Step-by-step explanation:
Statement Reason
∠5 and ∠7 are vertical angles Vertical angles theorem
m∠5 = m∠7 Definition of vertical angles
m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given
-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality
-6x + 8 = 3x - 9 - 1 Distributive property
3x + 6x = 8 + 10 Addition property
9x = 18 Addition property
x = 18/9 Division property
x = 2 Proved
By VCR Sales A dealer carries two models of VCRs. One sells for
$300 and the other sells for $225. The dealer sells 22 VCRs for a
total revenue of $5700. How many of each type did the dealer sell?
Answers
Answer:
2333
Step-by-step explanation:
Ok I cut the freaking cute please help me uwu stuff could yall just answer me like 10 points
−2/9x+2.7=4
find x
Answers
Answer:
Step-by-step explanation:
−2/9x+2.7=4
subtract 2.7 from both sides
-2.9x = 1.3
divide -2.9 from both sides
x= -.4482 or x= -.45
Find the measure of each angle.
Given: m∠2=x
m∠3=x−16
Solutions:
m∠2=
m∠3=
Answers
Answer:
m∠2 = 98°, m∠3 = 82°
Step-by-step explanation:
I'm going to assume this is a straight angle
Supplementary anglesSupplementary angle are two angles that equal 180°
m∠2+m∠3=180°
-Substitutem∠2+m∠2-16=196°
add both side by 16°2m∠2=196°
Divide both sides by 2m∠2=98°
Since we said m∠3 = m∠2 - 16°
m∠3 = 82°
State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.
refer to attachment
Answers
ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Sketch the graph of each line by identifying the x-and y-intercepts.
Answers
And goes all the way from -inf to +inf of the x-axis and doesn’t intersect with x-axis
help asap for brainlist
Given g(x)=−6x+3, find g(−4). To earn full credit, show your work using a method explained in the Orientation.
Answers
Answer:
g(-4) = 24 + 3 = 27
Step-by-step explanation:
We find the value of g(-4) by substituting -4 for x in g(x)= −6x + 3:
g(-4) = -6(-4) + 3, or
g(-4) = 24 + 3 = 27
Answer:
27
Step-by-step explanation:
substitute -4 for x
-6(-4) + 3
24 + 3
27
hope it helps :)
mark brainliest!!
Find the size of CAO
Answers
Answer:
The measure of <CAO = 21°
i'll mark brainiest if right answer
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Answer: x=2 y=18
Step-by-step explanation
help me free brainleist if you help
Answers
Answer:
4th one
Step-by-step explanation:
What is the area of a rectangle with vertices at (−4, 0), (−3, 1) , (0, −2), and (−1, −3)?
don't round any side lengths plz
Answers
Explanation: I used geogebra and used area tool
[tex]\boxed{\sf 2x+31=5}[/tex]
Answers
2x + 31 = 5
2x = 5 - 31
2x = -26
x = -26/2
x = -13.
_______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
[tex] \sf \: 2x + 31 = 5[/tex]
[tex]\sf \longmapsto \: 2x = 5 - 31[/tex]
[tex]\sf \longmapsto \: 2x = -26[/tex]
[tex]\sf \longmapsto{x }= \frac{ - 26}{2} [/tex]
[tex]\sf \longmapsto \: x = - 13[/tex]
[tex] \boxed{\sf - 13}[/tex]
wich statement is true about the graphs of the two lines y=-6 and ×=1/6?
No links
Answers
What is the answer to n?
Answers
Answer:
n = 108
Step-by-step explanation:
The three medians of a triangle intersect at the same point inside the triangle.
The segment from a vertex to the point in the center is 2 times as long as the
other part of the median line. So OC is 2 times KC.
KC =108
OC = 2(108)
2n + 10 = 216
2n = 206
n = 108
In ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .
What is median of a triangle?" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."
Property used
Centroid divides the median in the ratio of [tex]2:1[/tex] from vertex side.
According to the question,
Given,
In ΔABC,
BL, AM, CK are the medians of a triangle ABC.
'O' represents the Centroid
[tex]KC = 108\\\\OC = 2n +10[/tex]
Ratio of [tex]KC : OC = 3: 2[/tex]
Substitute the value of KC and OC we get,
[tex]108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31[/tex]
Hence, in ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .
Learn more about median of a triangle here
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